Question

name: practice & problem solving 7 leveled practice trapezoid abcd is shown. draw the reflection of trapezoid abcd across the y - axis. identify the points of the preimage. a b c d identify the points of the image. a b c d plot the points and draw trapezoid abcd.

Explanation:

Step1: Locate preimage points

Read coordinates from the graph:
$A=(2, 8)$, $B=(6, 8)$, $C=(8, 3)$, $D=(2, 3)$

Step2: Apply y-axis reflection rule

For a point $(x,y)$, reflection over y-axis is $(-x,y)$:
$A'=(-2, 8)$, $B'=(-6, 8)$, $C'=(-8, 3)$, $D'=(-2, 3)$

Answer:

Preimage Points:

$A=(2, 8)$
$B=(6, 8)$
$C=(8, 3)$
$D=(2, 3)$

Image Points (reflection over y-axis):

$A'=(-2, 8)$
$B'=(-6, 8)$
$C'=(-8, 3)$
$D'=(-2, 3)$

(To complete the task, plot these image points on the grid and connect them in order to form trapezoid $A'B'C'D'$)