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    Circles

    Uploaded by

    ericmilamattim
    The document contains geometry problems related to circles including finding measures of angles, lengths of arcs and segments, and using properties of circles to prove congruence. Answers to the 20 multiple choice questions are required to complete the worksheet.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Circles

    Uploaded by

    ericmilamattim
    179 views3 pages
    The document contains geometry problems related to circles including finding measures of angles, lengths of arcs and segments, and using properties of circles to prove congruence. Answers to the 20 multiple choice questions are required to complete the worksheet.

    Original Description:

    practice test in circles

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    © © All Rights Reserved

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    The document contains geometry problems related to circles including finding measures of angles, lengths of arcs and segments, and using properties of circles to prove congruence. Answers to the 20 multiple choice questions are required to complete the worksheet.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    179 views3 pages

    Circles

    Uploaded by

    ericmilamattim
    The document contains geometry problems related to circles including finding measures of angles, lengths of arcs and segments, and using properties of circles to prove congruence. Answers to the 20 multiple choice questions are required to complete the worksheet.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    You are on page 1of 3
    At a glance
    Powered by AI
    The passage discusses properties of circles, including relationships between angles, arcs, diameters, radii, chords, and tangents.

    The measure of the angle is equal to half the sum of the intercepted arcs.

    Congruent central angles have congruent arcs.

    Circles

    Name_____________________________________________

    1. In the diagram at the right, the segments shown are


    tangent to the circle. Find the value of x.
    [1] 5
    [2] 6
    [3] 7
    [4] 9

    2. Given: Circle O with diameter CD, AB CD


    .
    and m
    AB 80. Find mCA
    [1] 50
    [2] 60
    [3] 80
    [4] 100

    1.________

    2.________

    3. Given the circle at the right with two


    intersecting chords. Find the length
    represented as x.
    [1] 2
    [2] 6
    [3] 8
    [4] 10

    3.________

    4. In the accompanying diagram, tangent AB and


    secant ACD are drawn to circle O from point A,
    AB = 6 and AC = 4. Find AD.
    [1] 5
    [2] 9
    [3] 10
    [4] 13

    5. In the accompanying diagram of circle O, m<ABC = 2x


    AC x 60 .Find the value of x.
    and m
    [1] 20
    [2] 40
    [3] 60
    [4] 80

    6. In the diagram at the right, secant AB intersects circle O at D,


    secant AC intersects circle O at E, AE = 4, AC = 24,
    and AB = 16. Find AD.
    [1] 4
    [2] 5
    [3] 6
    [4] 10

    4.________

    5.________

    6.________

    AllRightsReservedRegentsPrep.org

    7. Given the circle at the right with diameter AB , find x.


    [1] 30
    [2] 45
    [3] 60
    [4] 90
    8. Given a circle with the center indicated.
    Find x.
    [1] 100
    [3] 50
    [2] 80
    [4] 40

    7.________

    8.________

    9. Two chords intersect within a circle to form an angle whose


    measure is 53. If the intercepted arcs are represented by
    3x + 3 and 10x - 14, find the measure of larger of these two
    arcs.
    [1] 9
    [2] 13
    [3] 30
    [4] 76

    10. A cathedral window is built in the shape of a semicircle. If the window is to


    contain three stained glass sections of equal size,
    what is the area of each stained glass section?
    Express answer to the nearest square foot.
    [1] 1 sq. ft.
    [3] 13 sq. ft.
    [2] 3 sq. ft.
    [4] 26 sq. ft.

    11. Given the two secants shown in the diagram at the


    right, find the number of degrees in the angle labeled x.
    [1] 40
    [2] 60
    [3] 80
    [4] 140

    12. The number of common tangents that can be drawn for two externally
    tangent circles is
    [1] 1
    [2] 2
    [3] 3
    [4] 4
    13. Given tangent AC to the circle shown at the right.
    Find the size of the arc designated by x.
    [1] 25
    [2] 50
    [3] 100
    [4] 260

    AllRightsReservedRegentsPrep.org

    9.________

    10._______

    11._______

    12._______

    13._______

    14. Given a circle with two secants as shown at the right.


    Find the value of the arc designated by x.
    [1] 105
    [3] 45
    [2] 80
    [4] 25
    15. Given the circle at the right with the indicated center.
    Find the measure of the angle designated by x.
    [1] 35
    [2] 55
    [3] 70
    [4] 72.5
    16. Given the circle at the right with two tangents to the
    circle from a common external point. Find the
    measure of the angle designated by x.
    [1] 60
    [2] 80
    [3] 85
    [4] 130
    17. Given: AB AC in circle O at the right. Which method
    for proving congruent triangles can be used to prove that
    ACO ABO ?
    [1] Side-Side-Side (SSS)
    [3] Angle-Side-Angle (ASA)
    [2] Side-Angle-Side (SAS) [4] All of the above.
    18. In the same circle, or congruent circles, congruent central angles have congruent
    arcs.
    [1] TRUE
    [2] FALSE
    19. Given the circle at the right with designated center, designated
    perpendicular, and radius 5. Find length of segment labeled x.
    [1] 4
    [2] 5
    [3] 8
    [4] 10
    20. Given: tangent AD, diameter CD, secant AC in circle O
    shown at the right. Which two sets of congruent angles can
    be used to prove ADC DBC ?
    [1] 1 1 and ADC 5
    [2] 1 1 and ADC 4
    [3] 1 6 and ADC 4
    [4] 2 6 and ADC 4

    14._______

    15._______

    16._______

    17._______

    18._______

    19._______

    20._______

    AllRightsReservedRegentsPrep.org

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