Given- EB - BD - AE - CB - - A - C -90-Which congruence criterion do you use to prove - ABE - CDB- -3 MARKS-

Answer: 1 Mark Explanation: 2 Marks In Δ AEB and Δ CBD, EB = BD [Given] AE = CB [Given] ∠A = ∠C = 90^∘ [Given] Hypotenuse and one side of a right angle ...

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Standard VIII

Mathematics

Congruency of Triangles

Given: EB = B...

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]

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Solution

Answer: 1 Mark
Explanation: 2 Marks

In $Δ A E B$ 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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Similar questions

Q. 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

Question 1 (d)
Which congruence criterion do you use in the following?
Given: EB = BD, AE = CB, $∠ A = ∠ C = 90^{\circ}$

Q. Which congruence criterion do you use in the following?
Given: EB = BD, AE = CB,

∠ A = ∠ C = 90^{\circ}

Q. Which congruence criterion is used in the following?
Given: EB = BD, AE = CB,

∠ A = ∠ C = 90^{\circ}

Q. Which congruence criterion do you use in the following?
Given: EB = DB
AE = BC

∠ A = ∠ C = 90^{\circ}

So, ΔABE ≅ ΔCDB

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

Answer: 1 Mark Explanation: 2 Marks In ΔAEB and ΔCBD, EB=BD [Given] AE=CB [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]

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]