Ch 24: NYSTCE Mathematics: Geometric Shapes

About This Chapter

Consult this chapter to review basic geometric shapes as part of your preparations for the NYSTCE Mathematics exam. These lessons will explain the properties of numerous figures about which the exam may test you.

NYSTCE Mathematics: Geometric Shapes- Chapter Summary

This chapter seeks to provide you with a resource for preparing for questions on shapes that may appear on the NYSTCE Mathematics exam. These lessons will address the following geometric shapes:

  • Triangles
  • Parallelograms
  • Polygons
  • Rectangles, squares, and rhombuses
  • Quadrilaterals and trapezoids
  • Circles

You may view these lessons either as brief videos or as full transcriptions that highlight key terminology. If you have any difficulties comprehending any of the content this chapter reviews, you may reach out to our specialists for assistance. Test how well you grasp the information you've studied by taking the self-assessment quizzes at the end of each lesson and the cumulative exam at the end of the chapter.

10 Lessons in Chapter 24: NYSTCE Mathematics: Geometric Shapes
Test your knowledge with a 30-question chapter practice test
Triangles: Definition and Properties

1. Triangles: Definition and Properties

What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.

How to Identify Similar Triangles

2. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

Parallelograms: Definition, Properties, and Proof Theorems

3. Parallelograms: Definition, Properties, and Proof Theorems

Watch this video lesson to learn how you can identify parallelograms. You will see the unique properties that belong to the parallelogram. You will see the special side and angle characteristics needed to prove a certain shape is a parallelogram.

Geometric Proofs for Polygons

4. Geometric Proofs for Polygons

Watch this video lesson to learn why it is important for you to learn how to do formal proofs in geometry. Also learn how to set up a proof and how to successfully execute one.

Properties of Shapes: Rectangles, Squares and Rhombuses

5. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

6. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.

What Are Polygons? - Definition and Examples

7. What Are Polygons? - Definition and Examples

Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.

Similar Polygons: Definition and Examples

8. Similar Polygons: Definition and Examples

Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.

Constructing Similar Polygons

9. Constructing Similar Polygons

This lesson will teach you how to construct similar polygons, which are very useful in many quantitative fields. You'll learn that all of this has something to do with, of all things, snowflakes!

Properties of Shapes: Circles

10. Properties of Shapes: Circles

Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.

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.
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