+309 Using Postulates and/or Theorems, determine whether PRQ ~ MRN. Show all your work and explain why the triangles are similar or why they are not.
+9481 Both triangles have a 90° angle. In order for the triangles to be similar, the sides that form this angle must be proportional, by the SAS Similarity Theorem.
If △PRQ ~ △MRN , then PR / RQ = MR / RN
Is it true that PR / RQ = MR / RN ?
PR / RQ \(\stackrel{?}{=}\) MR / RN
Plug in the lengths of PR, RQ, MR, and RN.
12 / 18 \(\stackrel{?}{=}\) 8 / 6
Reduce 12/18 by 3 .
4 / 6 \(\stackrel{?}{=}\) 8 / 6
4 / 6 ≠ 8 / 6
Therefore △PRQ is not similar to △MRN
+9481 Both triangles have a 90° angle. In order for the triangles to be similar, the sides that form this angle must be proportional, by the SAS Similarity Theorem.
If △PRQ ~ △MRN , then PR / RQ = MR / RN
Is it true that PR / RQ = MR / RN ?
PR / RQ \(\stackrel{?}{=}\) MR / RN
Plug in the lengths of PR, RQ, MR, and RN.
12 / 18 \(\stackrel{?}{=}\) 8 / 6
Reduce 12/18 by 3 .
4 / 6 \(\stackrel{?}{=}\) 8 / 6
4 / 6 ≠ 8 / 6
Therefore △PRQ is not similar to △MRN
