Vghvhjbhj - Carnegie Mellon University
Geometry
Mr. Schopper Name ______________________ section ____
Chapter 6 - RETEST
Properties of Circles
Read each of the following statements very carefully.
Just one word could change its meaning.
Then, identify the statement as true or false.
Place a T in the ρ if the statement is true. Place an F in the ρ if the statement
is false and then change the underlined word or phrase to make it true.
ρ 1. A circle is a set of points in space at a given distance from a given point.
ρ 2. A diameter is a segment connecting any point on the circle and the center point.
ρ 3. A chord is a segment connecting any two points on a circle.
ρ 4. A secant is a line, in the plane of a circle, that intersects the circle in exactly one point.
ρ 5. The measure of a secant-tangent angle is equal to twice the measure of its intercepted arc. .
ρ 6. Two circles are congruent if they have the same center.
ρ 7. The ratio of a circle’s diameter to circumference is better known as ( .
ρ 8. The opposite angles of a cyclic quadrilateral are congruent.
Fill in the blank with a word or phrase to make each of the following statements true.
9. A tangent segment to a circle, at the point of tangency, is ________________________ to the
radius at the point of tangency.
10. Every angle inscribed in a semicircle is a(n) ____________________ .
11. The length of an arc is equal to the ________________ of the arc divided by 360°,
times the _____________________ of the circle.
12. The radius of a circle drawn perpendicular to a chord will ________________ the chord.
Answer each of the following. Show your work to receive full credit.
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20. Jewel Case has signed up to take a spinning class at her local fitness center.
Her bike has a 24 inch diameter wheel.
a. To the nearest inch, what is the circumference
of the wheel ?
b. She is able to bike at an average speed of 6 mph for 10 minutes.
To the nearest revolution, how many revolutions does her bike’s wheel make
in the 10 minutes she was spinning ?
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