Question

Given: ZXWU = ZZVT; ZZTV = ZXUW: TU = WW
Which relationship in the diagram is true?
Х
N
O AXYZ = AXYS by SSS
O AZYX = AVYU by AAS
O ARYZ = AXZY by SAS
AZVT – AXWU by ASA
S
R
w
U

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Given : ∠XWU ≅ ∠ZVT, ∠ZTV ≅ ∠XUW and TU ≅ VW

From the figure attached,

In ΔZVT and ΔXWU,

∠ZVT ≅ ∠XWU [Given]

∠ZTV ≅ ∠XUW [Given]

TU ≅ VW [Given]

TU + UV ≅ VW + UV [Since UV is common in both the segments]

TV ≅ UW

ΔZVT ≅ ΔXWU  [By ASA property of congruence]

Therefore, Option(4) is the answer.

Answer 2

The relationship in the diagram that is true is: ΔZVT ≅ ΔXWU by ASA.

The ASA Congruence Theorem

ASA stands for angle-side-angle congruence theorem. The ASA congruence theorem, states that if two triangles possess one pair of included sides that are congruent, and two pairs of congruent angles, then both triangles are congruent.

From the diagram given, Triangles ZVT and XWU have two pairs of congruent angles and one pair of congruent included side.

Therefore, the relationship in the diagram that is true is: ΔZVT ≅ ΔXWU by ASA.

Learn more about ASA Congruence Theorem on:

https://brainly.com/question/2102943