High School

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Circle Z is shown. Line segments Z T, Z U, and Z V are radii of the circle. Line segment U X goes through point X and is a diameter. Line segment W Y goes from one side to the opposite side and intersects line segment U X at point S. Line segment W X is a secant. Angle X W X is 42 degrees, angle W S Y is 100 degrees, and angle T Z U is 79 degrees.

Complete the statements about circle Z.



A central angle, such as angle

of circle Z, is an angle whose vertex is

and whose sides are radii of the circle.



Angle

is not a central angle of circle Z.



The degree measure of an arc is

the degree measure of the central angle that intercepts it.



The measure of is

degrees.

Circle Z is shown Line segments Z T Z U and Z V are radii of the circle Line segment U X goes through point

Answer :

The words that complete the statements are:
1.) UZV

2.) The center of the circle

3.) WSX

4.) Equal to

5.) 79°

The completed statement about Circle Z is given as follows.

A central angle, such as angle UZV

of circle Z, is an angle whose vertex is the center of the circle

and whose sides are radii of the circle.

Angle WSX is not a central angle of circle Z.

The degree measure of an arc is equal to

the degree measure of the central angle that intercepts it.

The measure of ∡TU is 79 degrees.

Thus, the right inserts are:

1.) UZV

2.) The center of the circle

3.) WSX

4.) Equal to

5.) 79

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Rewritten by : Jeany

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