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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)

Respuesta :

MasterElodin
We are given the coordinate of the vertices of a rhombus
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)

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