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Ch 22: HSPT Test: Transformations

About This Chapter

This chapter goes over the different types of transformations used in math. Use these lessons to help you correctly answer questions you may encounter on the HSPT test.

HSPT Test: Transformations - Chapter Summary

Let these lessons illustrate various math transformations as you explore how shapes change or do not change when they are rotated, reflected or translated. The videos help you study for HSPT test questions on the following topics:

  • Rotations, reflections and translations in math
  • Using a mirror line to reflect simple shapes
  • 2D shapes
  • Lines of symmetry
  • Graphing translations, rotations and reflections
  • Rotating shapes
  • Determining distance with the Pythagorean theorem

After you complete each lesson, you can check your understanding of what you have studied by taking a short lesson quiz. You can measure your progress overall by taking the chapter test. Links in the quizzes give you easy access to the video to check a specific point, and our expert instructors and subject-matter experts are always available to answer your questions or provide additional help.

HSPT Test: Transformations Chapter Objectives

Select Catholic schools require eighth grade students to take the HSPT test as part of the admissions process. The skills measured by the exam include reading, verbal, language, quantitative and mathematics. Our chapter on Transformations addresses some of the mathematics skills covered in the test. You will find 64 math-related questions on the exam.

The HSPT examination is paper based. All of the 298 questions that comprise the exam are multiple-choice in format, which requires you to select one correct response from a list of about four following each question.

11 Lessons in Chapter 22: HSPT Test: Transformations
Test your knowledge with a 30-question chapter practice test
Rotations in Math: Definition & Overview

1. Rotations in Math: Definition & Overview

A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.

Reflections in Math: Definition & Overview

2. Reflections in Math: Definition & Overview

A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.

What is Translation in Math? - Definition, Examples, & Terms

3. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

Reflecting Simple Shapes in a Mirror Line

4. Reflecting Simple Shapes in a Mirror Line

What is reflection? How can we reflect a shape over a line? You will learn about this as well as about the important properties of reflection as it relates to math!

What are 2D Shapes? - Definition & Examples

5. What are 2D Shapes? - Definition & Examples

In this lesson, you will find out how a flat piece of paper will help you determine what shapes are considered 2D. You will also learn the wide variety of 2D shapes you may encounter in life.

Identifying the Line of Symmetry: Definition & Examples

6. Identifying the Line of Symmetry: Definition & Examples

Symmetry can occur in many different ways in mathematics. In this lesson, learn how to identify unique forms of symmetry by finding the line of symmetry.

Graphing Translations & Finding a Set of Coordinates

7. Graphing Translations & Finding a Set of Coordinates

In this lesson, you're going to learn how to translate figures by counting boxes, find the coordinates of points, and learn how to translate a figure more quickly using simple math.

Rotating Shapes by Degrees, Center & Direction

8. Rotating Shapes by Degrees, Center & Direction

In this lesson, you're going to learn about the definition and basic concept of rotation as well as how to rotate any shape about the origin in a coordinate plane. Finish up the lesson, then test your understanding with a quiz!

How to Graph Reflections Across Axes, the Origin, and Line y=x

9. How to Graph Reflections Across Axes, the Origin, and Line y=x

A graph can be reflected in three ways - across the axes, the origin and the line y = x. There are specific rules to perform each reflection. This lesson will describe those rules and show you how to perform these reflections.

Distance Formulas: Calculations & Examples

10. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

Finding Distance with the Pythagorean Theorem

11. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

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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Other Chapters

Other chapters within the HSPT Test: Practice & Study Guide course

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