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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 # 69 NAME:________________________________<br />

www.jmap.org<br />

357 In the diagram below, the vertices of DEF are<br />

the midpoints of the sides of equil<strong>at</strong>eral triangle<br />

ABC, and the perimeter of ABC is 36 cm.<br />

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

1) 6<br />

2) 12<br />

3) 18<br />

4) 4<br />

358 The diagram below shows a pennant in the shape of<br />

an isosceles triangle. The equal sides each measure<br />

13, the altitude is x + 7, and the base is 2x.<br />

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

1) 5<br />

2) 10<br />

3) 12<br />

4) 24<br />

359 A city is planning to build a new park. The park<br />

must be equidistant from school A <strong>at</strong> (3,3) and<br />

school B <strong>at</strong> (3,−5). The park also must be exactly 5<br />

miles from the center of town, which is loc<strong>at</strong>ed <strong>at</strong><br />

the origin on the coordin<strong>at</strong>e graph. Each unit on the<br />

graph represents 1 mile. On the set of axes below,<br />

sketch the compound loci and label with an X all<br />

possible loc<strong>at</strong>ions for the new park.<br />

360 If the diagonals of a quadril<strong>at</strong>eral do not bisect<br />

each other, then the quadril<strong>at</strong>eral could be a<br />

1) rectangle<br />

2) rhombus<br />

3) square<br />

4) trapezoid

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