Question

Describe the sequence of transformations from quadrilateral ABCD to A'B'C'D A: -8,8 B: 8,-2 C: 4,-8 D: 4,-2 A': 2,-10 B': 8,-10 C': 2,-6 D: 8, -5?

Answer 1

Answers:

See below

Explanation:

First transformation

Reflection about the line y = 6.

This inter-converted Points A and C and Points B and D.

The coordinate transformations were (Fig. 1):

A: (-8, 8) ⟶ (-8, 4)

B: (-2, 8) ⟶ (-2, 4)

C: (-8, 4) ⟶ (-8, 8)

D: (-2, 4) ⟶ (-2, 8)

Second transformation

Translation 10 units to the right and 14 units down.

The coordinate transformations were (Fig. 2):

A: (-8, 4) ⟶ (2, -10)

B: (-2, 4) ⟶ (8, -10)

C: (-8, 8) ⟶ (2, -6)

D: (-2, 8) ⟶ (8, -6)

The transformations were:

1. Reflection about the line y = 6
2. Translation 10 units to the right and 14 units down