Given: UR ∥ ST ∠R, ∠T right angles Prove: ∆RSU ≅ ∆TUS

Question

contestada

Respuesta :

preety89 preety89 · Answer 1 · 2020-03-15T10:57:03+01:00

Answer:

It is proved that ∆ R S U ≅ ∆ T U S

Step-by-step explanation:

Compare Δ R S U & Δ T U S

∠ R = ∠ T

Side S U is common in both triangle.

So in these two triangles one angle & one side are same, so Property of similarity of triangles is satisfied. so

∆ R S U ≅ ∆ T U S

Proved.

Answer Link

MrRoyal MrRoyal · Answer 2 · 2021-12-23T15:07:11+01:00

∆RSU and ∆TUS are congruent by SAS congruence theorem

The given parameters are:

The triangles are given as: ∆RSU and ∆TUS

From the names of the triangles, we can see that both triangles have a common side length at length SU; we denote by S (side)

Angles R and T on both triangles are congruent; we denote this by A (angle)

Lastly, we denote parallel sides UR and ST by S (side)

Hence, ∆RSU and ∆TUS are congruent by SAS congruence theorem