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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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a) If m A B > m C D , write an inequality that compares m A Q B m C Q D . _

b) If Q R > Q P , write an inequality that compares A B and C D . _

Chapter 6.CT, Problem 14CT, aIf mABmCD, write an inequality that compares mAQBmCQD. _ bIf QRQP, write an inequality that

To determine

a)

An inequality that compares mAQBand mCQD.

Explanation

Given:

mAB>mCD.

Approach:

“In a circle the measure of a central angle is equal to the measure of the arc that it intercepts”.

Calculation:

Consider the given circle with center Q.

From given it is clear that mAB>mCD.

We know that the measure of a central angle of a circle is equal to the measure of the arc that intercept.

Therefore, mAB is an arc made by the intercepts of an angle mAQB and mCD is an arc made by the intercepts of an angle mCQD

To determine

b)

An inequality that compares AB and CD.

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