Question

Coordinate plane with triangles LMN and PQR with L at negative 3 comma 2, M at 1 comma 6, N at 1 comma 2, P at negative 2 comma 3, Q at 0 comma 5, and R at 0 comma 3

Which set of transformations would prove ΔLMN ~ ΔPQR?

Answer 1

D) Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Explanation:

Answer 2

1) Dilation of ΔLMN by scale factor of 1/2

2) Translation following this rule

Explanation:

The Set of transformations applied to prove the similarity between this pair of triangles is:

`\bigtriangleup PQR \sim \bigtriangleup LMN`

1) Dilation of ΔLMN by scale factor of 1/2

Shrinking figures, their factor is <1

`D=((1)/(2) x, (1)/(2)y)`

2) Translation following this rule

`(x-0.5,y+2)`

ΔL'M'N' translated will be ΔPQR

Their angles remain with the same value. Therefore they are similar.