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-- x (2, 7) y (- 4, 3) z (5, 2)
image-- x(2, 4) y(-4, 0) z(5, -1)
triangle xyz was translated units .

Explanation:

Step1: Analyze x-coordinates

For point \( X(2,7) \) to \( X'(2,4) \), x-coordinate remains \( 2 \). For \( Y(-4,3) \) to \( Y'(-4,0) \), x-coordinate remains \( -4 \). For \( Z(5,2) \) to \( Z'(5,-1) \), x-coordinate remains \( 5 \). So no horizontal translation.

Step2: Analyze y-coordinates

For \( X \): \( 7 - 4 = 3 \). For \( Y \): \( 3 - 0 = 3 \). For \( Z \): \( 2 - (-1) = 3 \). So y-coordinate decreases by 3, meaning translation down 3 units.

Answer:

3, down