Q:

plz plz help me friendsIn 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∠Fii. BC = FGiii. m∠A = m∠Eiv. FG = 3v. m∠B = m∠EA. i onlyB. iii or v onlyC. i and iii onlyD. i or iv only

Accepted Solution

A:
Answer:The answer is i and iii only ⇒ answer CStep-by-step explanation:* Lets revise the cases of congruence- SSS  ⇒ 3 sides in the 1st Δ ≡ 3 sides in the 2nd Δ  - SAS ⇒ 2 sides and including angle in the 1st Δ ≡ 2 sides and    including angle in the 2nd Δ - ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  ≡ 2 angles and the side whose joining them in the 2nd Δ - AAS ⇒ 2 angles and one side in the first triangle ≡ 2 angles  and one side in the 2ndΔ - HL ⇒ hypotenuse leg of the first right angle triangle ≡ hypotenuse  leg of the 2nd right angle Δ * Lets solve the problem- From the figure in Δ ABC and Δ EFG∵ AB = 2 units∵ ∠A and ∠B are the end vertex of AB∵ EF = 2 units∵∠E and ∠F are the end vertex of EF∴ Δ ABC is congruent to Δ EFG if:# m∠B = m∠F# m∠A = m∠E∴ The necessary statements to prove that Δ ABC is congruent to    Δ EFG by ASA are:    i. m∠B = m∠F    iii. m∠A = m∠E* The answer is i and iii only