Ch 34: PLACE Mathematics: Introduction to Geometric Figures

About This Chapter

Use the lessons in this chapter to learn the fundamentals of working with geometric figures and gain practical experience. The brief video lessons and self-assessment quizzes will aid you in preparing for the PLACE Mathematics exam.

PLACE Mathematics: Introduction to Geometric Figures - Chapter Summary

The video lessons in this chapter can assist you in answering questions about geometric figures, such as line segments, angles and points, on the PLACE Mathematics exam. These lessons and self-assessment tests will help you understanding these topics:

  • Definition of line segments, rays, points and angles
  • Geometric constructions with angles and lines
  • Midpoint theorem
  • Line segment bisection
  • Parallel, perpendicular and transverse lines
  • Types of angles and constructing an angle bisector
  • Equilateral triangles, squares and regular hexagons inscribed in circles

Our instructors explain each topic in an enjoyable way, emphasizing important points that could show up on the test. You'll come away with a sound idea of the fundamentals of working with geometric figures.

Objectives of the PLACE Mathematics: Introduction to Geometric Figures Chapter

The PLACE Mathematics exam is Colorado's required test for prospective teachers of mathematics in its public schools. The topics in the Introduction to Geometric Figures chapter are part of the measurement and geometry subarea, which makes up 19% of the total exam. The questions in the exam are multiple choice, requiring you to work out a problem then choose the correct answer. You can gauge your knowledge and practice your test-taking skills with the multiple-choice questions at the end of every lesson.

9 Lessons in Chapter 34: PLACE Mathematics: Introduction to Geometric Figures
Test your knowledge with a 30-question chapter practice test
Line Segments & Rays: Definition & Measurement

1. Line Segments & Rays: Definition & Measurement

Watch this video lesson to learn the difference between a line segment and a ray. You will also learn how to measure and add line segments. Learn why you can't measure or add a ray.

Points, Lines & Angles in Geometry

2. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

Geometric Constructions Using Lines and Angles

3. Geometric Constructions Using Lines and Angles

Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.

Line Segment Bisection & Midpoint Theorem: Geometric Construction

4. Line Segment Bisection & Midpoint Theorem: Geometric Construction

Watch this video lesson and you will learn how to bisect a line segment without measurements using just a compass and a straight edge. You'll also learn about the midpoint theorem, which lets you calculate the midpoint if you have the measurements.

Dividing Line Segments into Equal Parts: Geometric Construction

5. Dividing Line Segments into Equal Parts: Geometric Construction

Watch this video lesson to learn one way to easily divide any line segment into as many equal parts as you need. Also, learn where in real life this skill comes in handy.

Parallel, Perpendicular and Transverse Lines

6. 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.

Types of Angles: Vertical, Corresponding, Alternate Interior & Others

7. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

Constructing an Angle Bisector in Geometry

8. Constructing an Angle Bisector in Geometry

Watch this video lesson to learn a cool way to split an angle in half. You can use this method to split a pie slice in half where you can be sure each side is equal.

Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles

9. Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles

Constructing an accurate triangle, square, or hexagon within a circle is a matter of a few simple steps, and can be extremely practical. In this lesson, we'll practice the construction of those three shapes.

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 PLACE Mathematics: Practice & Study Guide course

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