OST - Chapter 10 - Circles

Circle M has radius MN, and circle P has radius PQ. Points M and P are distinct points. Select a term for each blank to complete the statements describing how to prove that the circles are similar. Translate the center of circle M onto point _____ before dilating the image of circle M by a scale factor of _______

• P; PQ/MN
• N; MN/PQ
• N; PQ/MN
• P; MN/PQ
• Q; PQ/MN

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

In the circles, sectors HIJ and KLM have the same area. What is the measure of angle KLM to the nearest degree?

• 90
• 40
• 360
• 50

Tags

CCSS.HSG.C.B.5

What is the equation of a circle that has a center at (1, 3) and a radius of 4 units

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• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s. What are the two values for t and s?

• t = -13; s = 4/7
• t = 13; s = 7/4
• t = 13; s = -4/7
• t = -13; s = 7/4

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

The image shows the first few steps to construct a circle inscribed in triangle PRQ. What reasoning should be used to determine the next step?

• Use the fact that the radius drawn to the point of tangency is perpendicular to the tangent line of a circle
• Use the fact that the radius drawn perpendicular to a chord bisects the chord

Tags

CCSS.HSG.C.A.3

The image shows the first few steps to construct a circle inscribed in triangle PRQ. The next step is draw a perpendicular line from point __________ to any side of the triangle.

• C
• E
• G

Tags

CCSS.HSG.C.A.3

In the figure, L is the center of the circle and PQ is a chord of the circle measuring 30 cm. How many centimeters long is PL?(round to the nearest tenth as needed)

Tags

CCSS.HSG.C.A.2

A circle with center L contains points J and K. Circle L is dilated by a factor of 2, resulting in a new circle with center P. Points M and N are on circle P such that central angle MPN has the same measure as central angle JLK. Which statement identifies the relationship between the arc length of JK and the arc length of MN?

• The arc length of JK is half the arc length of MN
• The arc length of MN is half the arc length of JK
• The arc length of JK is a quarter of the arc length of MN
• The arc length of MN is a quarter of the arc length of JK

Tags

CCSS.HSG.C.B.5

Angle ABC is inscribed in a circle as shown. What is the measure, degrees, of angle ABC (to the nearest whole degree)?

• 120
• 60
• 90
• 75

Tags

CCSS.HSG.C.A.2

Quadrilateral ABCD is inscribed in circle O. What is the value of y?

• 83
• 76
• 97
• 104

Tags

CCSS.HSG.C.A.2