Question

question 1: reflection
rectangle abcd is the pre - image with vertices a(-1,3), b(-2,6), c(-8,4), and d(-7,1).
a. graph its image under the reflection over the x - axis.
b. label the vertices of the image on the graph using a, b, c, and d.
c. give the coordinates of the image.
a ________ b ________
d __________

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Apply rule to point A

For point $A(-1,3)$, applying the rule gives $A'(-1,- 3)$.

Step3: Apply rule to point B

For point $B(-2,6)$, applying the rule gives $B'(-2,-6)$.

Step4: Apply rule to point C

For point $C(-8,4)$, applying the rule gives $C'(-8,-4)$.

Step5: Apply rule to point D

For point $D(-7,1)$, applying the rule gives $D'(-7,-1)$.

Answer:

$A'(-1,-3)$
$B'(-2,-6)$
$C'(-8,-4)$
$D'(-7,-1)$