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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 # 6 NAME:________________________________<br />

www.jmap.org<br />

24 On the diagram below, use a compass and<br />

straightedge to construct the bisector of ∠ABC.<br />

[Leave all construction marks.]<br />

25 The coordin<strong>at</strong>es of trapezoid ABCD are A(−4,5),<br />

B(1,5), C(1,2), and D(−6,2). Trapezoid<br />

A″B″C ″D″ is the image after the composition<br />

r x − axis r y = x is performed on trapezoid ABCD.<br />

St<strong>at</strong>e the coordin<strong>at</strong>es of trapezoid A″B″C ″D″.<br />

[The use of the set of axes below is optional.]<br />

26 For which polygon does the sum of the measures of<br />

the interior angles equal the sum of the measures of<br />

the exterior angles?<br />

1) hexagon<br />

2) pentagon<br />

3) quadril<strong>at</strong>eral<br />

4) triangle<br />

27 In the diagram below, ABC ∼ DEF, DE = 4,<br />

AB = x, AC = x + 2, and DF = x + 6. Determine the<br />

length of AB. [Only an algebraic solution can<br />

receive full credit.]<br />

28 Point M is the midpoint of AB. If the coordin<strong>at</strong>es<br />

of A are (−3,6) and the coordin<strong>at</strong>es of M are (−5,2),<br />

wh<strong>at</strong> are the coordin<strong>at</strong>es of B?<br />

1) (1,2)<br />

2) (7,10)<br />

3) (−4,4)<br />

4) (−7,−2)<br />

29 Which st<strong>at</strong>ement is true about every parallelogram?<br />

1) All four sides are congruent.<br />

2) The interior angles are all congruent.<br />

3) Two pairs of opposite sides are congruent.<br />

4) The diagonals are perpendicular to each other.

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