Question

1. what are the vertices of the image of △abc after it is reflected across the x - axis? select all vertices.

m. a=(2,0)
p. a=(-2,0)
r. b=(2,1)
s. b=(-2,-1)
t. c=(1,-3)
v. c=(-1,3)

Explanation:

Step1: Recall reflection rule

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

Step2: Identify original points

From the graph, assume $A=(2,0)$, $B = (- 2,1)$, $C=(1,3)$.

Step3: Apply reflection rule to point A

For $A=(2,0)$, after reflection across the $x - axis$, $A'=(2,0)$ since $0$ remains $0$ when negated.

Step4: Apply reflection rule to point B

For $B=(-2,1)$, after reflection, $B'=(-2,-1)$.

Step5: Apply reflection rule to point C

For $C=(1,3)$, after reflection, $C'=(1,-3)$.

Answer:

M. $A'=(2,0)$
S. $B'=(-2,-1)$
T. $C'=(1,-3)$