Which of the following can be used to prove that - ABC - DEF-

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Standard IX

Mathematics

SAS Criteria for Congruency

Which of the ...

Question

Which of the following can be used to prove that $Δ A B C ≅ Δ D E F$ ?

ASA

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SAS

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RHS

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AAA

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Solution

The correct option is C RHS
Here, the hypotenuses and one pair of corresponding sides are equal to $90^{o}$ .
Therefore, $Δ A B C ≅ Δ D E F$ by RHS congruence condition.

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Similar questions

Q. Which of the following can be used to prove

Δ A B C

and

Δ D E F

are similar?

Q. Which of the following postulate can be used to prove

Δ P Q R

and

Δ A B C

are similar?

Q. To prove that

Δ D E F

and

Δ A B C

are congruent by SAS, what additional information is needed?

If D, E and F are the mid-points of sides BC, CA and AB respectively of a $Δ A B C$ , then using coordinate geometry prove that Area of $Δ D E F = \frac{1}{4} (A r e a o f Δ A B C)$

(a) Show with an example that two triangles can't be congruent using AAA criterion.

(b) Which congruence criterion will you use in the following?

Given: AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

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Which of the following can be used to prove that ΔABC≅ΔDEF?

The correct option is C RHSHere, the hypotenuses and one pair of corresponding sides are equal to 90o.Therefore, ΔABC≅ΔDEF by RHS congruence condition.

Which of the following can be used to prove that $Δ A B C ≅ Δ D E F$ ?

The correct option is C RHS
Here, the hypotenuses and one pair of corresponding sides are equal to $90^{o}$ .
Therefore, $Δ A B C ≅ Δ D E F$ by RHS congruence condition.