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Lesson Objectives:

1. Identify and model points, lines, and planes.

2. Identify intersecting lines and planes.

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

Lesson Objectives:

1. Measure segments

2. Calculate with measures

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

Lesson Objectives:

1. Find the distance between two points.

2. Find the midpoint of a segment.

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

Lesson Objectives:

1. Measure and classify angles.

2. Identify and use congruent angles and the bisector of an angle.

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

Lesson Objectives:

1. Identify and use special pairs of angles.

2. Identify perpendicular lines.

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

Lesson Objectives:

1. Identify and name polygons.

2. Find the perimeter, circumference, and area of two-dimensional figures.

1. Download and complete the Section 1 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 1 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 1 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Make conjectures based on inductive reasoning.

2. Find counterexamples.

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

Lesson Objectives:

1. Use the Law of Detachment.

2. Use the Law of Syllogism.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Analyze statements in if-then form.

2. Write the converse, inverse, and contrapositive of if-then statements.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use algebra to write two-column proofs.

2. Use properties of equality to write geometric proofs.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Write proofs involving segment addition.

2. Write proofs involving segment congruence.

3. Write proofs involving supplementary and complementary angles.

4. Write proofs involving congruent and right angles.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section X Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section X Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section X Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Identify the relationships between two lines or two planes.

2. Name angle pairs formed by parallel lines and transversals.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use theorems to determine the relationships between specific pairs of angles.

2. Use algebra to find angle measurements.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find the slopes of lines.

2. Use slope to identify parallel and perpendicular lines.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Write an equation of a line given information about the graph.

2. Solve problems by writing equations.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize angle pairs that occur with parallel lines.

2. Prove that two lines are parallel.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find the distance between a point and a line.

2. Find the distance between parallel lines.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 3 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 3 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 3 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Identify and classify triangles by angle measures.

2. Identify and classify triangles by side measures.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Apply the Triangle Angle-Sum Theorem.

2. Apply Exterior Angle Theorem.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Name and use corresponding parts of congruent polygons.

2. Prove triangles congruent using the definition of congruence.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use the SSS Postulate to test for triangle congruence.

2. Use the SAS Postulate to test for triangle congruence.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use the ASA Postulate to test for congruence.

2. Use the AAS Theorem to test for congruence.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use properties of isosceles triangles.

2. Use properties of equilateral triangles.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Identify reflections, translations, and rotations.

2. Verify congruence after a congruence transformation.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 4 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 4 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 4 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Identify and use perpendicular bisectors in triangles.

2. Identify and use angle bisectors in triangles.

1. Download and complete the Knowledge Check questions for this lesson.

I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

Lesson Objectives:

1. Identify and use medians in triangles.

2. Identify and use altitudes in triangles.

1. Download and complete the Knowledge Check questions for this lesson.

I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

Lesson Objectives:

1. Recognize and apply properties of inequalities to the measures of the angles of a triangle.

2. Recognize and apply properties of inequalities to the relationships between the angles and sides of a triangle.

1. Download and complete the Knowledge Check questions for this lesson.

I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

Lesson Objectives:

1. Use the Triangle Inequality Theorem to identify possible triangles.

2. Prove triangle relationships using the Triangle Inequality Theorem.

1. Download and complete the Knowledge Check questions for this lesson.

I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

Lesson Objectives:

1. Apply the Hinge Theorem and its converse to make comparisons in two triangle.s

2. Prove triangle relationships using the Hinge Theorem or its converse.

1. Download and complete the Knowledge Check questions for this lesson.

I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

1. Download and complete the Section 5 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 5 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 5 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Find and use the sum of the measures of the interior angles of a polygon.

2. Find and use the sum of the measures of the exterior angles of a polygon.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize and apply properties of the sides and angles of parallelograms.

2. Recognize and apply properties of the diagonals of parallelograms.

1. Download and complete the Knowledge Check questions for this lesson.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.Lesson

Lesson Objectives:

1. Recognize the conditions that ensure a quadrilateral is a parallelogram.

2. Prove that a list of points forms a parallelogram in the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize and apply properties of rectangles.

2. Determine whether parallelograms are rectangles.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize and apply the properties of rhombi and squares.

2. Determine whether quadrilaterals are rectangles, rhombi or squares.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Apply the properties of trapezoids.

2. Apply the properties of kites.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 6 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 6 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 6 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Write ratios.

2. Write and solve proportions.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use proportions to identify similar polygons.

2. Solve problems using the properties of similar polygons.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorem.

2. Use similar triangles to solve problems.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use proportional parts within triangles.

2. Use proportional parts with parallel lines.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles.

2. Use the Triangle Bisector Theorem.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Interpret scale models.

2. Use scale factor to solve problems.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 7 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 7 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 7 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Find the geometric mean between two numbers.

2. Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use the Pythagorean Theorem.

2. Use the Converse of the Pythagorean Theorem.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use the properties of 46-45-90 triangles.

2. Use the properties of 30-60-90 triangles.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find trigonometric ratios using right triangles.

2. Use trigonometric ratios to find angle measures in right triangles.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Solve problems involving angles of elevation and depression.

2. Use angles of elevation and depression to find the distance between two objects.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use the Law of Sines to solve triangles.

2. Use the Law of Cosines to solve triangles.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 8 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 8 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 8 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Draw reflections.

2. Draw reflections in the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Draw translations.

2. Draw translations in the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Draw Rotations

2. Draw rotations in the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Draw glide reflections and other compositions of isometries in the coordinate plane.

2. Draw compositions of reflections in parallel and intersecting lines.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Identify line and rotational symmetries in two-dimensional figures.

2. Identify plane and axis symmetries in three-dimensional figures.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Draw dilations.

2. Draw dilations in the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 9 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Parent(s)/Guardian(s) - download the Section 9 Answer Key from the Resources section and review any missed questions with the student.

NOTE: Due to the nature of the questions in this section, there is not a computer-scored exam.

Lesson Objectives:

1. Identify and use parts of circles.

2. Solve problems involving the circumference of a circle.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

2. Find arc lengths.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Recognize and use relationships between arcs and chords.

2. Recognize and use relationships between arcs, chords, and diameters.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find measures of inscribed angles.

2. Find measures of angles of inscribed polygons.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Use properties of tangents.

2. Solve problems involving circumscribed polygons.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find measures of angles formed by lines intersecting on or inside a circle.

2. Find measures of angles formed by lines intersecting outside the circle.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find measures of segments that intersect in the interior of a circle.

2. Find measures of segments that intersect in the exterior of a circle.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Write the equation of a circle.

2. Graph a circle on the coordinate plane.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 10 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 10 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 10 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Find perimeters and areas of parallelograms.

2. Find perimeters and areas of triangles.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find areas of trapezoids.

2. Find areas of rhombi and kites.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find areas of trapezoids.

2. Find areas of rhombi and kites.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find areas of regular polygons.

2. Find areas of composite figures.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find areas of similar figures using scale factors.

2. Find scale factors or missing measures given the areas of similar figures.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 11 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 11 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 11 Answer Key from the Resources section and review any missed questions with the student.

Lesson Objectives:

1. Find lateral areas and surface areas of prisms.

2. Find lateral areas and surface areas of cylinders.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find volumes of prisms.

2. Find volumes of cylinders.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find lateral areas and surface areas of pyramids.

2. Find lateral areas and surface areas of cones.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find volumes of pyramids.

2. Find volumes of cones.

1. Download and complete the Knowledge Check questions for this lesson.

Lesson Objectives:

1. Find surface areas of spheres.

2. Find volumes of spheres.

1. Download and complete the Knowledge Check questions for this lesson.

1. Download and complete the Section 12 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 12 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 12 Answer Key from the Resources section and review any missed questions with the student.

**Course Description**

The Geometry course includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument.

**Course Includes**

- 25+ hours of engaging instructional video
- 71 video lessons
- 71 practice worksheets
- 71 worksheet review videos where I go over each of the exercises
- 71 Knowledge Check quizzes
- 12 online section exams
- Solution guides to all Section Exams
- Solution guides to all Knowledge Check quizzes
- Solution guides for all practice worksheet

**Course Goals**

Upon successful completion of this class, students will be able to:

- Use and prove basic theorems involving congruence and similarity of figures
- Determine how changes in dimensions affect perimeter and area of common geometric figures
- Apply and use the properties of proportion
- Prove the Pythagorean theorem
- Use the Pythagorean theorem to determine distance and find missing dimensions of right triangles
- Know and use formulas for perimeter, circumference, area, volume, lateral and surface area of common figures
- Find and use measures of sides, interior and exterior angles of polygons to solve problems
- Use relationships between angles in polygons, complementary, supplementary, vertical and exterior angle properties
- Use special angle and side relationships in special right triangles
- Understand, apply, and solve problems using basic trigonometric functions
- Prove and use relationships in circles to solve problems
- Prove and use theorems involving properties of parallel lines cut by a transversal, quadrilaterals and circles
- Write geometric proofs
- Construct and judge validity of logical arguments
- Prove theorems using coordinate geometry including the midpoint of a segment and distance formula
- Understand transformations in the coordinate plane
- Construct logical verifications to test conjectures and counterexamples
- Write basic mathematical arguments statement-reason form

**Course Requirements**

Students taking this course are expected to have mastered the most important topics taught in an Algebra 1 course. Important topics to master are:

- Application of the Order of Operations
- Solving Linear Equations
- Solving Quadratic Equations
- Factoring Quadratic Polynomials
- Plotting points and graphs in the Cartesian Plane

**Target Audience**

This video course is primarily intended for students who have already mastered Algebra 1 concepts. This course can be taken before or after Algebra 2. Students generally take this course in their sophomore year of high school but could take it as early as 8^{th} grade.

**Technology**

Students will need a calculator capable of performing the basic operations, as well as square roots and trigonometric functions. A scientific calculator will be sufficient for this course.

- Teacher: Thomas
- Areas of expertise: Mathematics, Grades 6 - 12
- Education: MEd, University of South Florida, 2014; MAT, University of Tampa, 2009; BS in Computer Science, Bloomsburg University, 2004
- Interests: Volunteering, Cats, RPG Video Games, Softball
- Skills: Real-world math applications
- Associations: State licensed teacher
- Issues I care about: Education

The answer keys for all the Knowledge Check Questions.

The answer keys for all the Section Exams.

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