/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q9. Explain how Corollary I follows ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q9. (page 574)

Explain how Corollary I follows from Theorem 14-1.

Short Answer

Expert verified

It verified that a triangle is mapped to a congruent triangle by isometry.

Step by step solution

01

Step 1. Given Information.

The theorem 14-1 states that an isometry maps a triangle to a congruent triangle.

Given: Isometry T: 螖ABC鈫�螖A'B'C'

Prove: 螖ABC鈮�螖A'B'C'

Corollary 1 states that an isometry maps an angle to a congruent angle. It is also termed as angle isometry theorem corollary.

02

Step 2. Explanation.

According to theorem the two triangles 螖ABC and 螖A'B'C' are congruent to each other. They are also isometric. So,

鈭�A=鈭�A'鈭�B=鈭�B'鈭�C=鈭�C'

Thus, all the three angles are mapped to congruent triangle.

03

Step 3. Conclusion.

Therefore, it verified that a triangle is mapped to a congruent triangle by isometry.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A line with equation y=x+5 is reflected in the x-axis. Find an equation of the image line.

Why are the measures of the angles that the initial light ray and the reflected light rays make with the mirrors in the diagram of the periscope on the previous page?

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk Stands for ?炉.

If you can see the eyes of someone when you look into the mirror, can the other person see your eyes in that same mirror?

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point A.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.