Question

PLEASE HELP!!!!!!!a student is trying to prove that ABC is congruent to PQR. He claims that ABC will map onto pqr by a sequence of rigid motions only if the length of the segment QP is 5 cm. Is his claim correct? Explain your work

Answer 1

yes

Explanation

$\text{PQR}\cong ABC$

Step 1

reflect the ABC triangle horizontally ( over the x axis)

as we can see, the angles of 54 degrees are in the same position, also, the length of 4.7 cm

$\begin{gathered} m\measuredangle A=180-54-49=77 \\ m\measuredangle A=m\measuredangle P \end{gathered}$

$\begin{gathered} AB=PQ \\ 5=\text{PQ} \end{gathered}$

so, the student is rigth,

I hope this helps you