Question

2. Consider polygon ABCD with coordinates A(8,12), B(10,4),C(4,4),D(2,8).

Part A: What are the coordinates of A"B"C"D" if we reflect it over the line y = 2, then dilate
by a scale factor of-centered at the origin?
2
A(8,12) ► A'(?)→ A"(?)
B(10,4) →B'(?)→ B"(?)
C(4,4) → C'(?)→ C"(?)
D(2,8) ► D'(?)→ D"(?)

Answer 1

Explanation:

Lets take point A:

Reflection across the line y = 2 moves the point to

(8, -8)

A dilation of 1/2 will bring the above point to (1/2*8, 1/28-8= (4, -4).

So for the other points we have

B(10,4)-->B'(10, 0)---> B"( 5, 0)

C(4, 4)--> C'(4, 0) ------C"(2, 0)

D(2, 8)----D'(2, -4)---->D"(1, -2)