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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 # 59 NAME:________________________________<br />

www.jmap.org<br />

301 The coordin<strong>at</strong>es of the vertices of parallelogram<br />

ABCD are A(−2,2), B(3,5), C(4,2), and D(−1,−1).<br />

St<strong>at</strong>e the coordin<strong>at</strong>es of the vertices of<br />

parallelogram A″B″C ″D″ th<strong>at</strong> result from the<br />

transform<strong>at</strong>ion r y − axis T 2,−3 . [The use of the set of<br />

axes below is optional. ]<br />

302 Wh<strong>at</strong> are the center and the radius of the circle<br />

whose equ<strong>at</strong>ion is (x − 3) 2 + (y + 3) 2 = 36<br />

1) center = (3,−3); radius = 6<br />

2) center = (−3,3); radius = 6<br />

3) center = (3,−3); radius = 36<br />

4) center = (−3,3); radius = 36<br />

303 If ABC ∼ ZXY, m∠A = 50, and m∠C = 30,<br />

wh<strong>at</strong> is m∠X ?<br />

1) 30<br />

2) 50<br />

3) 80<br />

4) 100<br />

304 Two triangles are similar, and the r<strong>at</strong>io of each pair<br />

of corresponding sides is 2:1. Which st<strong>at</strong>ement<br />

regarding the two triangles is not true?<br />

1) Their areas have a r<strong>at</strong>io of 4:1.<br />

2) Their altitudes have a r<strong>at</strong>io of 2:1.<br />

3) Their perimeters have a r<strong>at</strong>io of 2:1.<br />

4) Their corresponding angles have a r<strong>at</strong>io of 2:1.<br />

305 The coordin<strong>at</strong>es of the vertices of parallelogram<br />

ABCD are A(−3,2), B(−2,−1), C(4,1), and D(3,4).<br />

The slopes of which line segments could be<br />

calcul<strong>at</strong>ed to show th<strong>at</strong> ABCD is a rectangle?<br />

1) AB and DC<br />

2) AB and BC<br />

3) AD and BC<br />

4) AC and BD<br />

306 In isosceles triangle ABC, AB = BC. Which<br />

st<strong>at</strong>ement will always be true?<br />

1) m∠B = m∠A<br />

2) m∠A > m∠B<br />

3) m∠A = m∠C<br />

4) m∠C < m∠B<br />

307 Line segment AB has endpoints A(2,−3) and<br />

B(−4,6). Wh<strong>at</strong> are the coordin<strong>at</strong>es of the midpoint<br />

of AB?<br />

1) (−2,3)<br />

2) −1,1 1 <br />

<br />

2 <br />

3) (−1,3)<br />

4) 3,4 1 <br />

<br />

2

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