Question
Given: EB = BD, AE = CB, ∠A=∠C=90∘
Which congruence criterion do you use to prove ΔABE≅ΔCDB? [3 MARKS]
Answer: Option A
:
Answer: 1 Mark
Explanation: 2Â Marks
In ΔAEB and ΔCBD,
EB=BD Â [Given]
AE=CB Â [Given]
∠A=∠C=90∘ [Given]
Hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle.
∴ΔABE≅ΔCDB  [RHS congruence criterion]
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:
Answer: 1 Mark
Explanation: 2Â Marks
In ΔAEB and ΔCBD,
EB=BD Â [Given]
AE=CB Â [Given]
∠A=∠C=90∘ [Given]
Hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and one side of another right-angled triangle.
∴ΔABE≅ΔCDB  [RHS congruence criterion]
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