BIG IDEAS MATH Integrated Math 1: Student Edition 2016
16th Edition
ISBN: 9781680331127
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Question
Chapter 12.6, Problem 21E
To determine
To write: A paragraph proof for the theorem about right triangle.
Expert Solution & Answer
Answer to Problem 21E
A paragraph proof for the theorem about right triangle is explained below.
Explanation of Solution
Given:
The given theorem is Hypotenuse-Angle (HA) Congruence Theorem.
Calculation:
Consider the figure following HA Congruence Theorem:
If an angle and hypotenuse of a right triangle are congruent to an angle and the hypotenuse of a second right triangle then the triangles are congruent.
The objective is to write a paragraph proof for the above theorem about right triangles
Since, the given two right triangles, so the triangles have congruent right angles by the Right Angles Congruence Theorem.
Also another pair of angles and a pair of corresponding sides are congruent.
By AAS Congruence Theorem the given triangles are Congruence.
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
Ch. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10E
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