Question

A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), 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 ?

Answer 1

Answer:

See below.

Step-by-step explanation:

Firstly the counterclockwise  rotation is (x, y)  ---> (-y, x), so A(-6, 3) moves to (-3, -6).

Then the translation (-3, -6) ---> ( -3-3), -6) = (-6, -6)   (3 units to the left).

Finally the second translation  moves (-6, -6) to (-6, -6-2) = (-6, -8)  = A'  ( 2 units down).

The coordinates of B', C' and D' are calculated in exactly the same way.