Question

The frame of a bridge is constructed of triangles, as shown below.

A large triangle is made up of 4 smaller triangles within the larger triangle. Vertical line T U cuts the large triangle in half. Lines U S and U V are diagonal from point U and go up to each side. Angle S U T is 45 degrees and angle T V U is 98 degrees. Line segment T V is 20 feet and line segment S U is 14 feet.

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

UV = 14 ft and m∠TUV = 45°

TU = 26 ft

m∠STU = 37° and m∠VTU = 37°

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

m∠UST = 98° and m ∠TUV = 45°

Answer 1

A: UV = 14 ft and m∠TUV = 45°

and

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

Explanation:

Answer 2

UV = 14 ft and m∠TUV = 45°

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

Explanation: