Circle Terminology & Practice

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| By Sdadmehr
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Sdadmehr
Community Contributor
Quizzes Created: 4 | Total Attempts: 25,350
| Attempts: 676
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  • 1/10 Questions

    Always, Sometimes, Never: A tangent to a circle contains the diameter.

    • Always
    • Sometimes
    • Never
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Circle Terminology & Practice - Quiz
About This Quiz

Explore key concepts of circle geometry with this quiz titled 'Circle Terminology & Practice'. Assess your understanding of chords, tangents, secants, and their properties in relation to circles, enhancing both fundamental and complex geometric skills.

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  • 2. 

    Always, Sometimes, Never: A secant to the circle contains the diameter.

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Sometimes
    Explanation
    A secant to the circle may or may not contain the diameter. It depends on the position of the secant in relation to the circle. If the secant intersects the circle at two distinct points, then it contains the diameter. However, if the secant only intersects the circle at one point or does not intersect at all, then it does not contain the diameter. Therefore, the statement is sometimes true depending on the specific scenario.

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  • 3. 

    Always, Sometimes, Never: A chord in a circle contains a radius.

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Sometimes
    Explanation
    A chord in a circle contains a radius sometimes because it depends on the position of the chord in relation to the center of the circle. If the chord is a diameter, it will always contain a radius. However, if the chord is not a diameter, it will not contain a radius. Therefore, the statement is sometimes true depending on the specific scenario.

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  • 4. 
    Which segment is tangent to the circle? - ProProfs

    Which segment is tangent to the circle?

    • 3

    • 1 and 4

    • 4

    • 1,2, and 4

    Correct Answer
    A. 4
    Explanation
    A segment is tangent to a circle if when you extend the segment to a line, it's an actual tangent to the circle. Notice in one place, "tangent" is used as an adjective, and in the other it's a noun.

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  • 5. 

    Always, Sometimes, Never: Two concentric circles are similar.

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Always
    Explanation
    All circles are similar because their radii are proportional.

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  • 6. 

    Always, Sometimes, Never: Two tangent segments to a circle are congruent.

    • Always

    • Sometimes

    • Never

    Correct Answer
    A. Sometimes
    Explanation
    They are congruent if they come from the SAME external point. Note that you could also have tangent segments that come from different external points, but the segments don't have to be congruent.

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  • 7. 
    Which figure shows a chord? - ProProfs

    Which figure shows a chord?

    • B

    • C

    • A

    • A and B

    • A, B and C

    Correct Answer
    A. A and B
    Explanation
    A chord is a segment whose endpoints are ON the circle.

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  • 8. 
    Assume the segment that looks tangent is tangent. Find CB. - ProProfs

    Assume the segment that looks tangent is tangent. Find CB.

    • 2

    • 10

    • 4

    Correct Answer
    A. 4
    Explanation
    Connect points A and D to make a right triangle with hypotenuse between D and B. AD = 6 (why?). Pythagorean Theorem.

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  • 9. 
    Assume the segment that looks tangent is tangent. Find the radius of the circle. - ProProfs

    Assume the segment that looks tangent is tangent. Find the radius of the circle.

    • Cannot be determined with given information.

    • 4

    • 5

    Correct Answer
    A. 5
    Explanation
    Let PQ and MP both equal "x". Set up the Pythagorean Theorem.

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  • 10. 
    Assume the segments that look tangent are tangent. Find m - ProProfs

    Assume the segments that look tangent are tangent. Find m

    • 30

    • 55

    • 25

    Correct Answer
    A. 25
    Explanation
    The angles in a quadrilateral sum to 360. Once you solve for x, plug in to find D.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 09, 2011
    Quiz Created by
    Sdadmehr
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