Question

01/06 - translations and reflections practice l
look at the starting and ending coordinate of the preimage and image. determine the type of translation that happened.
pre-image-- a ( 2, 7) b (6, 7) c(1, 3) d( -4, 3)
image-- a’( -5, 7) b’(-1, 7) c’(-6, 3) d’(-11, 3)
quadrilateral abcd was translated 7 units

Explanation:

Step1: Analyze x-coordinate change for A

Pre-image A: \( x = 2 \), Image A': \( x = -5 \). Change: \( -5 - 2 = -7 \).

Step2: Analyze x-coordinate change for B

Pre-image B: \( x = 6 \), Image B': \( x = -1 \). Change: \( -1 - 6 = -7 \).

Step3: Analyze x-coordinate change for C

Pre-image C: \( x = 1 \), Image C': \( x = -6 \). Change: \( -6 - 1 = -7 \).

Step4: Analyze x-coordinate change for D

Pre-image D: \( x = -4 \), Image D': \( x = -11 \). Change: \( -11 - (-4) = -7 \).

Step5: Analyze y-coordinate (no change)

All y-coordinates remain the same (7 or 3), so translation is horizontal. A negative x-change means left.

Answer:

left