Geometry Regents at Random Worksheets - JMap

Geometry Regents Exam Questions at Random Worksheet # 23 NAME:________________________________
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114 The coordinates of the vertices of RST are
R(−2,3), S(4,4), and T(2,−2). Triangle R′S ′T ′ is
the image of RST after a rotation of 90° about
the origin. State the coordinates of the vertices of
R′S ′T ′. [The use of the set of axes below is
optional.]
115 In circle O, diameter RS has endpoints
R(3a,2b − 1) and S(a − 6,4b + 5). Find the
coordinates of point O, in terms of a and b.
Express your answer in simplest form.
116 Determine whether the two lines represented by the
equations y = 2x + 3 and 2y + x = 6 are parallel,
perpendicular, or neither. Justify your response.
117 As shown in the diagram below, FJ is contained in
plane R, BC and DE are contained in plane S, and
FJ , BC , and DE intersect at A.
Which fact is not sufficient to show that planes R
and S are perpendicular?
1) FA ⊥ DE
2) AD ⊥ AF
3) BC ⊥ FJ
4) DE ⊥ BC
118 In the diagram below of ABC, BC is extended to
D.
If m∠A = x 2 − 6x, m∠B = 2x − 3, and
m∠ACD = 9x + 27, what is the value of x?
1) 10
2) 2
3) 3
4) 15