Question

the graph shows triangles lmn and opq. is lmn similar to opq? justify your answer. yes, because a rotation 90° counterclockwise around the origin maps lmn onto opq. yes, because a translation right 5 units and down 1 unit maps lmn onto opq. no, because ∠n and ∠q do not have the same measure.

Explanation:

Step1: Check transformation type

Rotation preserves shape and size, making similar triangles. Translation also preserves shape and size. But we need to check angles.

Step2: Analyze angle measure

If \(\angle N\) and \(\angle Q\) don't have the same measure, triangles aren't similar. Similar triangles require equal corresponding angles.

Answer:

No, because \(\angle N\) and \(\angle Q\) do not have the same measure.