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asambeis [7]
3 years ago
11

Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

2) triangleTRS ~ triangleTPQ; SAS ~

Step-by-step explanation:

TR = TP + PR = 42 + 6 = 48\\TS = TQ + QS = 28 + 4 = 32\\In \:\triangle TRS\: and \:\triangle TPQ\\\frac{TR}{TP} = \frac{48}{42} = \frac{8}{7} ....(1)\\\\\angle RTS \cong \angle PTQ.. (common \: \angle)... (2)\\\\\frac{TS}{TQ} = \frac{32}{28} = \frac{8}{7} ....(3)\\\\

From equations (1), (2) & (3) it is obvious that:

\therefore \triangle TRS \sim\triangle TPQ... (SAS \: Postulate)

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