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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 # 31 NAME:________________________________<br />

www.jmap.org<br />

157 Triangle TAP has coordin<strong>at</strong>es T(−1,4), A(2,4), and<br />

P(2,0). On the set of axes below, graph and label<br />

T ′A′P ′, the image of TAP after the transl<strong>at</strong>ion<br />

(x,y) → (x − 5,y − 1).<br />

158 In parallelogram ABCD shown below, diagonals<br />

AC and BD intersect <strong>at</strong> E.<br />

Which st<strong>at</strong>ement must be true?<br />

1) AC ≅ DB<br />

2) ∠ABD ≅ ∠CBD<br />

3) AED ≅ CEB<br />

4) DCE ≅ BCE<br />

159 The diagram below shows ABC, with AEB,<br />

ADC, and ∠ACB ≅ ∠AED. Prove th<strong>at</strong> ABC is<br />

similar to ADE.<br />

160 Which reason could be used to prove th<strong>at</strong> a<br />

parallelogram is a rhombus?<br />

1) Diagonals are congruent.<br />

2) Opposite sides are parallel.<br />

3) Diagonals are perpendicular.<br />

4) Opposite angles are congruent.<br />

161 In the diagram of ABC shown below, DE BC .<br />

If AB = 10, AD = 8, and AE = 12, wh<strong>at</strong> is the<br />

length of EC ?<br />

1) 6<br />

2) 2<br />

3) 3<br />

4) 15

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