Unit Test — Unit test Answers

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
5

Line segments XY and ZY are tangent to circle O.

Question illustration
A
an equilateral triangle
B
an isosceles triangle
C
a scalene triangle
D
a right triangle
8

AD and MN are chords that intersect at point B.

Question illustration
A
4 units
B
6 units
C
18 units
D
24 units
13

Which circle has a radius that measures 10 units?

A
Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.
Option A
B
Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.
Option B
C
Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.
Option C
D
Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Option D
14

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
4 units
B
5 units
C
6 units
D
9 units
15

Angle D is a circumscribed angle of circle O.

Question illustration
A
17 units
B
23 units
C
27 units
D
60 units
17

Line segment KL is tangent to circle J at point K.

Question illustration
A
8 units
B
10 units
C
12 units
D
16 units
20

Which statements about circle O are true? Select three options.

A
The radius of circle O is 13.
B
The diameter of circle O is 34.
C
LP is a diameter of circle O.
D
∠LMP intercepts a semicircle.
E
The measure of arc LP is 90°.

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