Circles
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   High School Geometry
High School Geometry
Math

 

(pre-made sample)
Name _____________________________
Date ___________________
(Key 1 - Answer ID # 0418755)
1.  

An isosceles right triangle inscribed in a circle. If the length of the two equal sides is 20 cm, find the radius of the circle.


2.  

If a minor arc makes a central angle of 78, what is the measure of the angle made by its complementary major arc?


3.  

Explain the difference between a line segment containing the center of a circle with endpoints on the circle and a line segment that has one end point on the circle and another at its center.


4.  

Circles that have same radius are called ______.

conjoint circles

congruent circles

concentric circles

semicircles

5.  

What is the distance between the endpoints of a semicircle? Explain how you got your answer.


6.  

If an arc makes a central angle of 84, is it a major or minor arc? Explain how you know.


7.  

P and Q are congruent circles that intersect at C and D. If the radius is 15 cm and PQ = 8 cm, what is the area of quadrilateral PCQD?


8.  

P and Q are congruent circles that intersect at C and D. What kind of quadrilateral must PCQD be?

a square

a parallelogram

a trapezoid

a rhombus

9.  

If two chords of the same circle are congruent, which must be true?
(I) They are the same distance from the center.
(II) They intercept congruent arcs.
(III) They are parallel.

I and II only

I only

II only

I, II, and III

II and III only

10.  

P and Q have radii 23 and 25. Given the distance between the center of the circles P and Q is 24, find the length of the common chord .







Circles
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   High School Geometry
High School Geometry
Math