8.03 Geometry of Circles Quiz

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8.03 Geometry of Circles Quiz

Question 1

  1. Point C is the center of the circle. What is the measure of angle ACB if the measure of arc ADB is 312 degrees ?
    circle C with points A, B, and D on the circle and central angle A C B drawn
    312 degrees
    12 degrees
    48 degrees
    72 degrees

2 points

Question 2

  1. Find x.
    circle with points W, X, Y and Z on the circle, inscribed angle WXZ labeled 3x minus 5 degrees and inscribed angle WYZ labeled 2x plus 15 degrees

2 points

Question 3

  1. Angle ACB is an inscribed angle of circle P. What is the measure of angle ACB if measure of arc AB is equal to 50 degrees ?
    circle C with points A, B, and C on the circle and central angle A C B drawn
    25 degrees
    15 degrees
    50 degrees
    100 degrees

2 points

Question 4

  1. Point C is the center of the circle. What is the measure of arc AB if angle ACB is equal to 140 degrees
    circle C with points A, B, and D on the circle and central angle A C B drawn
    140 degrees
    70 degrees
    100 degrees
    110 degrees

2 points

Question 5

  1. Angle C is an inscribed angle of circle P. Angle C measures (-3x – 6)° and arc AB measures (-4x)° . Find x.
    circle P with points A, B, and C on the circle and inscribed angle A C B drawn

2 points

Question 6

  1. Circles M and K are congruent and QR is congruent to LN. Find QR.
    circle M with points R and Q on the circle, segment QR measures 5 x, circle K with points L and N on the circle, segment LN measures 3x plus 54

2 points

Question 7

  1. Circles M and K are congruent, QR is congruent to LN and OP is congruent to VW. Find y.
    circle M with points R, Q, W and V on the circle, segment QR measures negative x, segment WV measures 3 y plus 16, circle K with points L, N, O and P on the circle, segment LN measures y plus 8 and segment OP measures negative x

2 points

Question 8

  1. Find x .
    circle E and points A, B, C and D on the circle, with line through points A, E and C and line through points B, E and D drawn, angle BEC equals x degrees, arc BC equals 75 degrees and arc AD equals 143 degrees
    34 degrees
    109 degrees
    100 degrees
    54 degrees

2 points

Question 9

  1. Find the if measure of arc BC is equal to 22 degrees and angle A measures 12 degrees
    circle with points B, C and D on the circle, point A outside the circle, ray starting at point A, through points B and D, and ray AC, tangent to the circle
    34 degrees
    40 degrees
    44 degrees
    46 degrees

2 points

Question 10

  1. Find angle A if measure of arc DE is equal to 55 degrees and measure of arc BC is equal to 12 degrees
    circle with points B, C, E and D on the circle, point A outside the circle, ray starting at point A, through points B and D, and ray starting at point A, through C and E
    20 degrees
    21.5 degrees
    23 degrees
    25.5 degrees