Geometry Regents at Random Worksheets - JMap

113 ANS: 4
The slope of 3x + 5y = 4 is m = −A
B
= −3
5 . m ⊥
= 5
3 .
PTS: 2 REF: 061127ge STA: G.G.62 TOP: Parallel and Perpendicular Lines
114 ANS:
R′(−3,−2), S' (−4,4), and T ′(2,2).
PTS: 2 REF: 011232ge STA: G.G.54 TOP: Rotations
115 ANS:
3a + a − 6
(2a − 3,3b + 2). ,
2
2b − 1 + 4b + 5
4a − 6
= ,
2 2
6b + 4
= (2a − 3,3b + 2)
2
PTS: 2 REF: 061134ge STA: G.G.66 TOP: Midpoint
116 ANS:
The slope of y = 2x + 3 is 2. The slope of 2y + x = 6 is −A
B
lines are perpendicular.
ID: A
−1
= . Since the slopes are opposite reciprocals, the
2
PTS: 2 REF: 011231ge STA: G.G.63 TOP: Parallel and Perpendicular Lines
117 ANS: 4 PTS: 2 REF: 081211ge STA: G.G.5
TOP: Planes
118 ANS: 4
x 2 − 6x + 2x − 3 = 9x + 27
x 2 − 4x − 3 = 9x + 27
x 2 − 13x − 30 = 0
(x − 15)(x + 2) = 0
x = 15, − 2
PTS: 2 REF: 061225ge STA: G.G.32 TOP: Exterior Angle Theorem
119 ANS:
M
−7 + 5
2
, 2 + 4
2
3 + 5
= M(−1,3). N
2
, −4 + 4
2
= N(4,0). MN is a midsegment.
PTS: 4 REF: 011237ge STA: G.G.42 TOP: Midsegments
120 ANS: 1 PTS: 2 REF: 061125ge STA: G.G.39
TOP: Special Parallelograms