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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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