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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 # 87 NAME:________________________________<br />

www.jmap.org<br />

444 Using a compass and straightedge, on the diagram<br />

below of RS → ←⎯<br />

, construct an equil<strong>at</strong>eral triangle with<br />

RS as one side. [Leave all construction marks.]<br />

445 In the diagram below of circle O, chords DF, DE,<br />

FG, and EG are drawn such th<strong>at</strong><br />

mDF :mFE :mEG :mGD = 5:2:1:7. Identify one<br />

pair of inscribed angles th<strong>at</strong> are congruent to each<br />

other and give their measure.<br />

446 In the diagram below, SQ and PR intersect <strong>at</strong> T,<br />

PQ is drawn, and PS QR.<br />

Wh<strong>at</strong> technique can be used to prove th<strong>at</strong><br />

PST ∼ RQT?<br />

1) SAS<br />

2) SSS<br />

3) ASA<br />

4) AA<br />

447 Which equ<strong>at</strong>ion represents the circle whose center<br />

is (−2,3) and whose radius is 5?<br />

1) (x − 2) 2 + (y + 3) 2 = 5<br />

2) (x + 2) 2 + (y − 3) 2 = 5<br />

3) (x + 2) 2 + (y − 3) 2 = 25<br />

4) (x − 2) 2 + (y + 3) 2 = 25

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