Ch 23: NYSTCE Mathematics: Geometric Construction

About This Chapter

This chapter on Geometric Construction is designed to help you prepare for the related portions of the NYSTCE Mathematics exam. It includes easy-to-follow video lessons taught by professional instructors that touch on all the relevant topics within the subject.

NYSTCE Mathematics: Geometric Construction - Chapter Summary

This chapter covers the various geometric constructions you'll want to have down going into the exam, with lessons that focus on individual operations and allow you to go at your own pace through the material. By the end of this chapter, you'll have strengthened your ability to answer questions involving:

  • Geometric constructions using lines and angles
  • Line segment bisection and midpoint theorem
  • Dividing line segments into equal parts
  • Constructing perpendicular lines
  • Constructing angle bisectors
  • Constructing triangles and the median of a triangle

Once you're through with a lesson, you'll have the opportunity to verify your understanding of it with a practice quiz that you can take and re-take as many times as you want. These quizzes provide links back to the topic in question should you answer incorrectly, and you'll also be able to print them as worksheets for further offline study.

7 Lessons in Chapter 23: NYSTCE Mathematics: Geometric Construction
Test your knowledge with a 30-question chapter practice test
Geometric Constructions Using Lines and Angles

1. 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

2. 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

3. 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.

Constructing Perpendicular Lines in Geometry

4. 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.

Constructing an Angle Bisector in Geometry

5. 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 Triangles: Types of Geometric Construction

6. Constructing Triangles: Types of Geometric Construction

When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.

Constructing the Median of a Triangle

7. Constructing the Median of a Triangle

If you have one triangle and want to divide it, you can use a median line. Medians have special geometric properties that we'll learn about in this lesson.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
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 NYSTCE Mathematics (004): Practice & Study Guide course

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