jackie310011
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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why triangle ABC~UVW?

Check all that apply.

A. AAS
B. LL
C. LA
D. HL
E. ASA
F. SAS

Based only on the information given in the diagram which congruence theorems or postulates could be given as reasons why triangle ABCUVW Check all that apply A class=

Respuesta :

mbh292
LA because we know its a right angle and there are a leg and angle congruent on both triangles. AC=UW and C=W.

and ASA because there are 2 angles which are the same with a side in between. A=U, AC=UW, and C=W.
boffeemadrid

Answer:

(C) and (E)

Step-by-step explanation:

Given: ΔABC and ΔUVW, AC=UW, ∠A=∠U=90° and ∠C=∠W.

To Prove: ΔABC≅ΔUVW

Solution:

From ΔABC and ΔUVW,

∠A=∠U=90° (Given)

AC=UW (Given)

∠C=∠W (Given)

Thus, by ASA rule of congruency, ΔABC≅ΔUVW

Also, from  ΔABC and ΔUVW,

AC=UW (Given)

∠C=∠W (Given)

Thus, by LA rule of congruency , ΔABC≅ΔUVW

Therefore, option C and E are correct.

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