Unit 4 Quiz 1 ReviewMs. Schneider

Question 1

Describe the relationship between a tangent line and a radius of a circle.

Question 1

Describe the relationship between a tangent line and a radius of a circle.

They are

perpendicular

to one

another.

Question 2𝒁𝒀 is a radius of circle Y. 𝒁𝑾 is tangent to circle Y at point Z. ZW = 10 and YW = 15. What is the length of 𝒁𝒀.

Question 2𝒁𝒀 is a radius of circle Y. 𝒁𝑾 is tangent to circle Y at point Z. ZW = 10 and YW = 15. What is the length of 𝒁𝒀.

𝟓 𝟓≈ 𝟏𝟏. 𝟏𝟖

Question 3A circle has a radius of 8 cm. The midpoint of a chord of the circle is 3 cm from the center. How long is the chord?

Question 3A circle has a radius of 8 cm. The midpoint of a chord of the circle is 3 cm from the center. How long is the chord?

𝟐 𝟓𝟓≈ 𝟏𝟒. 𝟖𝟑

Question 4Chords RS and PQ intersect at point T. What is the value of X?

8

1

2

Question 4Chords RS and PQ intersect at point T. What is the value of X?

8

1

2

𝒙 =𝟖

𝟓= 1.6

Question 5The radius of Circle O is 12 in, FD = 5 in, and 𝑮𝑯 ≅ 𝑱𝑲. What is the length of 𝑶𝑳?

Question 5The radius of Circle O is 12 in, FD = 5 in, and 𝑮𝑯 ≅ 𝑱𝑲. What is the length of 𝑶𝑳?

7 inches

Question 6In this figure, CZ = 50 ft, DZ = 88 ft, and WZ = 94 ft. What is the length of DW?

Question 6In this figure, CZ = 50 ft, DZ = 88 ft, and WZ = 94 ft. What is the length of DW?

82 feet

Question 7A central angle in a circle measures 66˚. What is the measure of an inscribed angle that intercepts the same arc?

Question 7A central angle in a circle measures 66˚. What is the measure of an inscribed angle that intercepts the same arc?

33˚

Question 8Quadrilateral PCRG is inscribed in this circle with 𝒎∠𝑪𝑹𝑮 = 𝟒𝟔°. What is the measure of ∠𝑪𝑷𝑮?

Question 8Quadrilateral PCRG is inscribed in this circle with 𝒎∠𝑪𝑹𝑮 = 𝟒𝟔°. What is the measure of ∠𝑪𝑷𝑮?

134˚

Question 9In this circle, 𝒎∠𝑭𝑱𝑯 = 𝟓𝟔° and 𝒎 𝑭𝑯 = 𝟐𝟔°. What is 𝒎 𝑬𝑮?

Question 9In this circle, 𝒎∠𝑭𝑱𝑯 = 𝟓𝟔° and 𝒎 𝑭𝑯 = 𝟐𝟔°. What is 𝒎 𝑬𝑮?

86˚

Question 10Find the value of x.

210˚

Question 10Find the value of x.

210˚

30˚

Question 11Find the value of x.

28˚

Question 11Find the value of x.

28˚

116˚