Question

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?

PLEASE HELP ME
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Answer 1

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The Side-Angle-Side Similarity Theorem states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

Verify

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

Answer 2

Find out  statements from the diagram that proves triangles are similar by the SAS similarity theorem ANSWERBy SAS similarity theoremIf the two right triangles contain corresponding sides through equal ratios, they are said to be similar take  In the Δ RST and ΔVUT  take Now take ∠RST = ∠ VUT = 90° ( shown in the diagram )therefore the triangle shown in diagram i.e Δ RST and ΔVUT are similar   by SAS similarity property.