Math  /  Geometry

QuestionDetermine if triangle RSTR S T and triangle UVWU V W are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answer Attempt 2 out of 2
SSS: three sides proportionate SSS: three sides congruent SAS: two sides proportionate, included angle congruent SAS: two sides + included angle congruent AA: two angles congruent

Studdy Solution
Determine if any similarity criteria are satisfied:
- We have one pair of congruent angles (RST=UWV \angle RST = \angle UWV ). - We have two pairs of proportional sides (RSUW=STWV=15 \frac{RS}{UW} = \frac{ST}{WV} = \frac{1}{5} ).
This satisfies the SAS (Side-Angle-Side) similarity criterion, as two sides are proportional and the included angle is congruent.
The triangles RST \triangle RST and UVW \triangle UVW are similar by the SAS criterion.

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