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PLEASE
In addition to the facts in the diagram, which other statements are necessary to prove that ∆ABC is congruent to ∆EFG by the ASA criterion?


i. m∠B = m∠F
ii. BC = FG
iii. m∠A = m∠E
iv. FG = 3
v. m∠B = m∠E



A. i or iv only
B. i only
C. i and iii only
D. iii or v only

PLEASE In addition to the facts in the diagram which other statements are necessary to prove that ABC is congruent to EFG by the ASA criterion i mB mF ii BC FG class=

Respuesta :

let's recall that ASA is just the acronym for Angle Side Angle.

so we really need two angles and a side between them.

now, from the graph, we can see that AB = 2 = EF, so AB = EF.

now, if those angles cornering those sides can just be equal, that'd be grand, namely if ∡A = ∡E and ∡B = ∡F, then we'd have the ASA congruence.

vijayhalder031

The correct answer is Option (c)  i and iii only

What is Angle side Angle?

  • Angle side angle states that Two triangles are congruent if two angles and the included side of one triangle are congruent

How to Solve the Problem?

The problem can be solved by following steps

ΔABC ≅ΔEFG By ASA (Given)

We need to explain which statements are necessary

So , If we rotate a triangle EFG in 90 degrees it will be same as Triangle ABC then we can say that

the m∠B = m∠F and m∠A =m∠E

Hence Option (C) i and iii only are correct and rest are incorrect

Learn more about Angle side angle here

https://brainly.com/question/3168048

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