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

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

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

2) Translation following this rule

Step-by-step 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

$D=(\frac{1}{2} x, \frac{1}{2}y)$

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.