Question

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

Answer 1

Its A and D

i just did it on edg

Answer 2

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

`\angle UST` must equal
`\angle UVT`

So:

`\angle UST = \angle UVT = 98`

Next:

UV must equal US.

So:

`UV = US = 14`

Also:

ST must equal VT

So:

`ST = VT = 20`

Lastly

`\angle TUV` must equal
`\angle TUS`

So:

`\angle TUV = \angle TUS = 45`

Hence: Options A and D are correct