   Chapter 6.CR, Problem 19CR ### 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
1 views

# In Review Exercises 15 to 22, state whether the statements are always true (A), sometimes true (S), or never true (N).If a parallelogram is inscribed in a circle, then each of its diagonals must be a diameter.

To determine

To state: Whether the statement is always true (A), sometimes true (S), or never true (N).

Explanation

Approach:

Theorem:

1) A radius that is perpendicular to a chord bisects the chord.

2) Congruent chords are located at the same distance from the center of a circle.

Calculation:

Given that

If a parallelogram is inscribed in a circle, then each of its diagonals must be a diameter.

In a parallelogram, opposite sides are equal and parallel.

Let O be the center of the two circles and AB and CD be chords.

Also, AB = CD; ABCD and AC = BD, ACBD.

Since congruent chords are located at the same distance from the center of a circle, OQ = OP.

And AO = OD = CO = OB are radii

### 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

#### Calculate y'. 44. y=sinmxx

Single Variable Calculus: Early Transcendentals, Volume I

#### 263

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

#### Find the domain of the function. 6. g(x)=11tanx

Single Variable Calculus: Early Transcendentals

#### An integral for the solid obtained by rotating the region at the right about the x-axis is:

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