Given: EB = BD, AE = CB, ∠ A = ∠ C = 90 ∘ Which congruence criterion do you use to prove Δ A B E ≅ Δ C D B ? [3 MARKS]

Given: EB = BD, AE = CB, ∠A=∠C=90∘Which congruence criterion do you use to

Question

Given: EB = BD, AE = CB,

∠ A = ∠ C = 90^{\circ}

Which congruence criterion do you use to prove

Δ A B E ≅ Δ C D B

? [3 MARKS]

Answer:
:
Answer: 1 Mark
Explanation: 2Marks

Δ A E B

and

Δ C B D

E B = B D

[Given]

A E = C B

[Given]

∠ A = ∠ C = 90^{\circ}

[Given]
Hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle.

∴ Δ A B E ≅ Δ C D B

[RHS congruence criterion]

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