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Geometry Regents at Random Worksheets - JMap

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<strong>Geometry</strong> <strong>Regents</strong> Exam Questions <strong>at</strong> <strong>Random</strong> Worksheet # 9 NAME:________________________________<br />

www.jmap.org<br />

39 In the diagram below of circle O, radius OC is 5<br />

cm. Chord AB is 8 cm and is perpendicular to OC<br />

<strong>at</strong> point P.<br />

Wh<strong>at</strong> is the length of OP, in centimeters?<br />

1) 8<br />

2) 2<br />

3) 3<br />

4) 4<br />

40 In the diagram below, LATE is an isosceles<br />

trapezoid with LE ≅ AT, LA = 24, ET = 40, and<br />

AT = 10. Altitudes LF and AG are drawn.<br />

Wh<strong>at</strong> is the length of LF?<br />

1) 6<br />

2) 8<br />

3) 3<br />

4) 4<br />

41 Segment AB is the diameter of circle M. The<br />

coordin<strong>at</strong>es of A are (−4,3). The coordin<strong>at</strong>es of M<br />

are (1,5). Wh<strong>at</strong> are the coordin<strong>at</strong>es of B?<br />

1) (6,7)<br />

2) (5,8)<br />

3) (−3,8)<br />

4) (−5,2)<br />

42 Using a compass and straightedge, construct the<br />

bisector of ∠CBA. [Leave all construction marks.]<br />

43 In the diagram below of ABC, side BC is<br />

extended to point D, m∠A = x, m∠B = 2x + 15, and<br />

m∠ACD = 5x + 5.<br />

Wh<strong>at</strong> is m∠B?<br />

1) 5<br />

2) 20<br />

3) 25<br />

4) 55

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