Determine whether the two triangles are similar. If they are, complete the similarity statement. Select all that apply. △TSU∼△ ? The triangles are not similar. △TSU∼△WVU △TSU∼△VWU By SAS similarity By SSS similarity By AA similarity

Observe that TS∥VW (parallel) In △TSU and △WVU ∠STU=∠VWU (Interior Alternate Angle) Also TSU=∠UVW (Interior Alternate Angle) So, △TSU∼△WVU by AA Similarity Also △WVU in same △VWU Hence Correct options are △TSU∼△WVU △TSU∼△VWU By AA similarity

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High School
Geometry
High school geometry
Similarity

Clifland

Answered question

2021-08-11

Determine whether the two triangles are similar. If they are, complete the similarity statement.
Select all that apply.

△ T S U \sim △

The triangles are not similar.

△ T S U \sim △ W V U

△ T S U \sim △ V W U

By SAS similarity
By SSS similarity
By AA similarity

Answer & Explanation

Szeteib

Skilled2021-08-12Added 102 answers

Observe that
$T S ∥ V W$ (parallel)
In $△ T S U and △ W V U$
$∠ S T U = ∠ V W U$ (Interior Alternate Angle)
Also $T S U = ∠ U V W$ (Interior Alternate Angle)
So, $△ T S U \sim △ W V U$ by AA Similarity
Also $△ W V U$ in same $△ V W U$
Hence Correct options are
$△ T S U \sim △ W V U$
$△ T S U \sim △ V W U$
By AA similarity

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