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30.08.2019 •
Mathematics
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a rhombus has coordinates a(-6, 3), b(-4, 4), c(-2, 3), and d(-4, 2). what are the coordinates of rhombus a′b′c′d′ after a 90° counterclockwise rotation about the origin followed by a translation 3 units to the left and 2 units down?
a′(-6, -8), b′(-7, -6), c′(-6, -4), d′(-5, -6)
a′(6, -8), b′(7, -6), c′(6, -4), d′(5, -6)
a′(-6, 8), b′(-7, 6), c′(-6, 4), d′(-5, 6)
a′(6, 8), b′(7, 6), c′(6, 4), d′(5, 6)
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Ответ:
A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)
The first transformation is a counterclockwise rotation. The resulte would be
A(-6, -3)
B(-4, -4)
C(-2, -3)
D(-4, -2)
Next, the transformation is a translation 3 units left and 2 units down. The result would be
A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)
Ответ:
136 units²
Step-by-step explanation:
5x7=35
5x7=35
6x7=42
1/2(4)(6)=12
1/2(4)(6)=12
35+35+42+12+12=136