Question

In OE, m overline HQ =48,HI=JK , and JR = 7.5 . Find each measure. 1. m overline HI 2. m overline QI E AK 3. m overline JK 4. HI 5. PI 6. JK

Answer 1

1.96

2.48

3.96

4.15

5.7.5

6. 15

Explanation:

1. Line segment EQ bisects chord HI. This also means that it bisects Arc HI so that

• Arc HQ equal Arc QI

Using that Arc HI= HQ times 2. HQ equal 48 so

`48 * 2 = 96`

HI=96.

2. Since Arc HQ equal QI, QI measure is 48.

3. Since Both chrods are equidistant from the center of the circle, they are equal in length. Arc HI measures 96. Using the transitive property, Arc JK also measures 96.

JK=96

4. JR measures 7.5 so that means JK also measures 7.5. JK measure is 15. HI=JK so HI=15.

5.PI is half of HI so it measures 7.5

6. JK measures 15.