Question

11. Consider rectangle ABCD.
Suppose ABCD is dilated with
the center at vertex C and a
scale factor of three.
Determine the sum of the y-
coordinates of A'B'CD'.
Coordinates are
D(-6,7)
A(-6,5)
B(3,5)
C(3,7)

Answer 1

Answer:

A'(-24,1), B'(3,1), C'(3,7), D'(-24,7)

Step-by-step explanation:

Rctangle ABCD has vertices at points A(-6,5), B(3,5), C(3,7) and D(-6,7).

The dilation with the center at vertex C and a scale factor of three has the rule

$(x,y)\rightarrow (3(x-x_C)+x_C,3(y-y_C)+y_C)$

Then

• $C(3,7)\rightarrow C'(3,7);$
• $A(-6,5)\rightarrow A'(-24,1);$
• $B(3,5)\rightarrow B'(3,1);$
• $D(-6,7)\rightarrow D'(-24,7).$