Determine if triangle OPQ and triangle RST are or are not similar, and, if they are, state which triangle similarity shortcut (AA, SSS, SAS) you can use to prove it. Show your work below proving that the triangles met the shortcut's criteria (Note that figures are NOT necessarily drawn to scale.)

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03-12-2021
Mathematics

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Determine if triangle OPQ and triangle RST are or are not similar, and, if they are, state which triangle similarity shortcut (AA, SSS, SAS) you can use to prove it. Show your work below proving that the triangles met the shortcut's criteria (Note that figures are NOT necessarily drawn to scale.)

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lor067ewp lor067ewp · Answer 1 · 2021-12-03T23:15:20-05:00

lor067ewp lor067ewp

03-12-2021

Answer:

SAS Similarity

Step-by-step explanation:

ΔOPQ similar to ΔRST

∠Q = ∠T

OQ : RT = 28 : 84 = 1 : 3

QP : TS = 16 : 48 = 1 : 3

The measures of two sides of ΔOPQ are proportional to the measure of two side of ΔRST and their included angles are congruent. The triangles are similar by SAS Similarity.

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