Geometry Regents at Random Worksheets - JMap

Geometry Regents Exam Questions at Random Worksheet # 5 NAME:________________________________
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19 In the diagram below, line p intersects line m and
line n.
If m∠1 = 7x and m∠2 = 5x + 30, lines m and n are
parallel when x equals
1) 12.5
2) 15
3) 87.5
4) 105
20 Find, in degrees, the measures of both an interior
angle and an exterior angle of a regular pentagon.
21 In the diagram below, ABC ≅ XYZ.
Which statement must be true?
1) ∠C ≅ ∠Y
2) ∠A ≅ ∠X
3) AC ≅ YZ
4) CB ≅ XZ
22 Given that ABCD is a parallelogram, a student
wrote the proof below to show that a pair of its
opposite angles are congruent.
What is the reason justifying that ∠B ≅ ∠D?
1) Opposite angles in a quadrilateral are
congruent.
2) Parallel lines have congruent corresponding
angles.
3) Corresponding parts of congruent triangles are
congruent.
4) Alternate interior angles in congruent triangles
are congruent.
23 In the diagram below of ADE, B is a point on AE
and C is a point on AD such that BC ED,
AC = x − 3, BE = 20, AB = 16, and AD = 2x + 2.
Find the length of AC.