Question

eak, so lets start a new one today. which of the following sequences of transformations maps △klm onto △abc? sequence a a translation 9 units to the left and 7 units down, then a reflection over the line with slope −1 through point c. sequence b a reflection over the line $overleftrightarrow{kl}$, then a translation 3 units to the left and 1 unit down. choose 1 answer: a only sequence a b only sequence b c both d neither

Explanation:

Step1: Analyze Sequence A

First, translate \( \triangle KLM \) 9 units left and 7 units down. Then reflect over the line with slope -1 through \( C \). Visually, this sequence aligns \( \triangle KLM \) with \( \triangle ABC \) as translations and reflections preserve shape and can map congruent triangles.

Step2: Analyze Sequence B

Reflect \( \triangle KLM \) over \( \overleftrightarrow{KL} \), then translate 3 units left and 1 unit down. This also adjusts the position and orientation to match \( \triangle ABC \), as reflections and translations are rigid transformations (preserve congruence).

Answer:

C. Both