Question

geometry unit-3 review

1. draw the reflection of abcd across the line p and label it as abcd.

Explanation:

Step1: Identify line of reflection

Line $p$ is $x=2$ (vertical line at $x=2$).

Step2: Find coordinates of ABCD

Read coordinates from grid:
$A(-6,-2)$, $B(-5,-4)$, $C(-4,1)$, $D(-3,0)$

Step3: Reflect each point over $x=2$

Use reflection formula for vertical line $x=k$: new $x = 2k - x_{original}$, $y$ stays same.

• For $A(-6,-2)$: $x=2(2)-(-6)=4+6=10$, $A'(10,-2)$
• For $B(-5,-4)$: $x=2(2)-(-5)=4+5=9$, $B'(9,-4)$
• For $C(-4,1)$: $x=2(2)-(-4)=4+4=8$, $C'(8,1)$
• For $D(-3,0)$: $x=2(2)-(-3)=4+3=7$, $D'(7,0)$

Step4: Plot and connect A'B'C'D'

Plot the reflected points and connect them in order.

Answer:

Coordinates of the reflected figure $A'B'C'D'$:
$A'(10,-2)$, $B'(9,-4)$, $C'(8,1)$, $D'(7,0)$
(When drawn on the grid, connect these points in sequence to form the reflected quadrilateral.)