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Ch 25: HSPT Test: The Pythagorean Theorem

About This Chapter

This chapter on the Pythagorean theorem can equip your student with the knowledge required to take on some of the questions on the HSPT test. He or she can learn from this chapter's online tutorial videos, which are short, animated and entertaining.

HSPT Test: The Pythagorean Theorem - Chapter Summary

Before taking the HSPT test, your student can use this chapter's informative text and video lessons to learn about the fundamentals of the Pythagorean theorem. In one lesson, the purpose of the Pythagorean theorem is explored while another lesson looks at the relationship between the theorem and the law of cosines. After reviewing different formulas and working through some of the examples, your student could be able to:

  • Apply the Pythagorean theorem
  • Use the converse of the Pythagorean theorem
  • Calculate the hypotenuse of a right triangle
  • Find shorter sides with the Pythagorean theorem
  • Solve functional problems using the theorem

All of the lessons were developed by qualified educators. It's possible to jump from topic to topic by clicking on the timeline link and selecting any of the videos' main topics. Multiple-choice quizzes follow the presentations, and they test students' retention of this chapter's facts. A practice chapter examination is also included.

HSPT Test: The Pythagorean Theorem Chapter Objectives

Comprised of five sections and 298 multiple-choice questions, the HSPT test has a time limit of two and a half hours. The Verbal, Quantitative, Reading, Mathematics and Language Skills categories all have questions that evaluate your eight-grade student's readiness for a Catholic high school curriculum. The Mathematics section may gauge your student's knowledge of the Pythagorean theorem as well as his or her general understanding of arithmetic, mathematics concepts, geometry and algebra. The section contains 64 multiple-choice questions and must be completed in 45 minutes. Students aren't penalized for wrong answers. Instead, a point is added to scores for each correct answer.

5 Lessons in Chapter 25: HSPT Test: The Pythagorean Theorem
Test your knowledge with a 30-question chapter practice test
The Pythagorean Theorem: Practice and Application

1. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

The Pythagorean Theorem: Converse and Special Cases

2. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

3. How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

After watching this video lesson, you will be able to use the Pythagorean Theorem and its resultant formula to help you find the length of the hypotenuse of a right triangle when you know the measurements of the triangle's two other sides.

How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

4. How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

Sure, the Pythagorean Theorem is useful for finding the hypotenuse of a right triangle, but what about the other sides? As this lesson shows, it's just a matter of flipping the formula.

How to Solve Functional Problems Involving the Pythagorean Theorem

5. How to Solve Functional Problems Involving the Pythagorean Theorem

One of the most useful aspects of studying triangles is the Pythagorean Theorem. In this lesson, we use it to find the unknown length of a side of a triangle, whether it is a shorter side or the hypotenuse.

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 HSPT Test: Practice & Study Guide course

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