   Chapter 2.4, Problem 12E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
4 views

# In Exercises 11 and 12, make drawings as needed.Suppose that T is a point on side P Q ¯ of Δ P Q R . Also, R T ¯ bisects ∠ P R Q , and ∠ P ≅ ∠ Q . If ∠ 1 and ∠ 2 are the angles formed when R T ¯ intersects P Q ¯ , explain why ∠ 1 ≅ ∠ 2 .

To determine

To explain:

The reason that 1 is congruent to 2.

Explanation

Given:

In ΔRPQ,

RT¯ bisects PRQ, and PQ.

Figure (1)

Property:

In a triangle, the sum of the measures of the interior angles is 180°.

Calculation:

In ΔRPQ,

RT¯ bisects PRQ,

So,

m3=m4

The given statement is,

PQ

So,

mP=mQ

In ΔPRT,

m3+m1+mP=180°(1)

In ΔQRT,

m4

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the derivatives of the functions in Problems 1-14. 14.

Mathematical Applications for the Management, Life, and Social Sciences

#### In Exercises 49-62, find the indicated limit, if it exists. 55. limx1xx1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Find the seventh term of the arithmetic progression x, x+y,x+2y,.....

Finite Mathematics for the Managerial, Life, and Social Sciences

#### limx37x+65x12 = ______. a) 12 b) 75 c) 9 d) 4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 