Question

question 22 of 40
which graph represents the reflection of △abc over the line y = 0?

Explanation:

Step1: Identify original triangle vertices

From the graph, vertices of $\triangle ABC$ are:
$A(1,1)$, $B(4,1)$, $C(3,3)$

Step2: Apply reflection rule for $y=0$

Reflection over $y=0$ (x-axis) uses the rule $(x,y)\to(x,-y)$.
Calculate new vertices:
$A'(1,-1)$, $B'(4,-1)$, $C'(3,-3)$

Step3: Match to the correct option

Compare the new vertices to the options:

• Option A: Vertices are on left side (negative x-axis) → incorrect
• Option B: Vertices are $(1,-1)$, $(4,-1)$, $(3,-3)$ → matches
• Option C: Vertices are on left side (negative x-axis) → incorrect
• Option D: Vertices are same as original → incorrect

Answer:

B. <Graph with triangle having vertices (1,-1), (4,-1), (3,-3)>