Question

suppose △rst is translated and then reflected to form △rst. select all of the statements that are true. a length rs = 4.3cm b ∠r ≅ ∠r c m∠t = 71 d st ≅ ts e length rt > length rt

Explanation:

Step1: Recall properties of translations and reflections

Translations and reflections are rigid - motions. Rigid - motions preserve side - lengths and angle - measures.

Step2: Analyze side - length preservation

Since $\triangle RST$ is translated and then reflected to form $\triangle R'S'T'$, corresponding side - lengths are equal. So, length $RS =$ length $R'S'=4.3$ cm.

Step3: Analyze angle - measure preservation

Corresponding angle - measures are equal. So, $m\angle T=m\angle T' = 71^{\circ}$, and $\angle R\cong\angle R'$. Also, $\overline{ST}\cong\overline{S'T'}$ because of rigid - motion properties. And the relative lengths of non - corresponding sides like $RT$ and $R'T'$ are not related in the way described in option E.

Answer:

A. length $R'S' = 4.3$ cm
B. $\angle R\cong\angle R'$
C. $m\angle T = 71^{\circ}$
D. $\overline{ST}\cong\overline{S'T'}$