Question

HELP ASAP MARKING AS BRINLIST

Given QT = SR, QV = SU, and the diagram, prove that triangles QUT and SVR are congruent. Write a paragraph proof.

Answer 1

Because they are equal (Right angle)

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer 2

Hello There the answer is Δ QUT ≅ Δ SVR. (Proved)

Explanation:

See the given diagram below.

Given that QV = SU

⇒ - QV = - SU

⇒ QS - QV = QS - SU

⇒ SV = QU .......... (1)

Now, also given that QT = SR

Then between Δ QUT and Δ SVR,

(i) QT = SR {Given}

(ii) QU = SV {Already prooveed}

and (iii) ∠ QUT = ∠ SVR {They are 90°}

Therefore, by Side-Side-Angle i.e. SSA criteria it is proved that Δ QUT ≅ Δ SVR. (Proved)

Hope it helps!