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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 # 21 NAME:________________________________<br />

www.jmap.org<br />

104 In the diagram below, PA and PB are tangent to<br />

circle O, OA and OB are radii, and OP intersects<br />

the circle <strong>at</strong> C. Prove: ∠AOP ≅ ∠BOP<br />

105 The coordin<strong>at</strong>es of the vertices of ABC are<br />

A(1,2), B(−4,3), and C(−3,−5). St<strong>at</strong>e the<br />

coordin<strong>at</strong>es of A' B' C', the image of ABC after<br />

a rot<strong>at</strong>ion of 90º about the origin. [The use of the<br />

set of axes below is optional.]<br />

106 In the diagram below, A′B′C ′ is a transform<strong>at</strong>ion<br />

of ABC, and A″B″C ″ is a transform<strong>at</strong>ion of<br />

A′B′C ′.<br />

The composite transform<strong>at</strong>ion of ABC to<br />

A″B″C ″ is an example of a<br />

1) reflection followed by a rot<strong>at</strong>ion<br />

2) reflection followed by a transl<strong>at</strong>ion<br />

3) transl<strong>at</strong>ion followed by a rot<strong>at</strong>ion<br />

4) transl<strong>at</strong>ion followed by a reflection<br />

107 Wh<strong>at</strong> is the length of AB with endpoints A(−1,0)<br />

and B(4,−3)?<br />

1) 6<br />

2) 18<br />

3) 34<br />

4) 50

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