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Ch 39: OAE Middle Grades Math: Symmetry, Similarity & Congruence

About This Chapter

As you prepare for the OAE Middle Grades Mathematics test, study the lessons in this chapter to improve your understanding of lines of symmetry, congruent shapes, and parallel and perpendicular lines.

OAE Middle Grades Math: Symmetry, Similarity & Congruence - Chapter Summary

The activities of this chapter have been assembled to aid in your review of symmetry, similarity and congruence in geometry. Our expert instructors review the properties of similar and congruent shapes, parallel lines with transverse lines, and perpendicular lines in geometric shapes. After these lessons, you should be better prepared for questions on the Ohio Assessments for Educators (OAE) Middle Grades Mathematics exam about:

  • Lines of symmetry in geometric shapes
  • Congruence and similarity in geometric shapes
  • Parallel and transverse lines
  • Perpendicular lines
  • Parallel and perpendicular lines in geometric shapes

Use the quizzes that accompany these lessons to insure your retention of the information presented and find out what material you haven't mastered. Improve your understanding of any areas of weakness by returning to the lesson with video tags that take you directly to the locations that cover this material or read over written outlines with lesson transcripts.

OAE Middle Grades Math: Symmetry, Similarity & Congruence Chapter Objectives

The OAE Middle Grades Mathematics test is a certification exam used to test educators mastery over middle grade mathematics in the state of Ohio. This computer-based test is composed of 150 multiple-choice questions that are administered in a four-hour and 15-minute testing session. On test day, you can expect to see one-fourth of these questions to be about measurements and geometry, including some on the principles of similarity and congruence. Use the activities of this chapter to prepare for these questions and improve your understanding of symmetry, similarity and congruence in geometry.

7 Lessons in Chapter 39: OAE Middle Grades Math: Symmetry, Similarity & Congruence
Test your knowledge with a 30-question chapter practice test
What is a Line of Symmetry in Geometric Shapes?

1. What is a Line of Symmetry in Geometric Shapes?

After viewing this lesson, you should be able to identify shapes that have a line of symmetry in them and know how to find where this line is. A short quiz to test your knowledge will follow the lesson.

Congruence in Geometric Shapes

2. Congruence in Geometric Shapes

Watch this video lesson to learn how you can determine whether two shapes are congruent or not. You will learn what the one criterion is when determining congruency between two shapes.

Similarity in Geometric Shapes

3. Similarity in Geometric Shapes

View this lesson to learn how you can determine whether shapes are similar. Find out how to use the one rule that tells you when your two shapes are geometrically similar.

Parallel, Perpendicular and Transverse Lines

4. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Identifying Parallel Lines in Geometric Shapes

5. Identifying Parallel Lines in Geometric Shapes

Watch this video lesson to learn how you can spot parallel lines in a rectangle, in a square, and in a parallelogram. You will learn how many pairs of parallel lines each of these shapes has.

Constructing Perpendicular Lines in Geometry

6. Constructing Perpendicular Lines in Geometry

In this video lesson, you will see how to use geometric construction to draw perpendicular lines. Learn why geometric construction is useful. Also find out the only two tools in addition to your pencil that you need to do this.

Identifying Perpendicular Lines in Geometric Shapes

7. Identifying Perpendicular Lines in Geometric Shapes

Do you know what a perpendicular line is? Do you know how to spot one in a geometric shape? This lesson will tell you how to spot perpendicular lines in squares, rectangles, triangles, and trapezoids.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

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