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Standard VII

Mathematics

SAS Criteria for Congruency

If ABC and XY...

Question

If $△ A B C$ and $△ X Y Z$ are right-angled triangles, right angled at B and Y respectively, then for what value of x will $△ A B C$ be congruent to $△ X Y Z$ ?

x = 8 cm

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x = 10 cm

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x = 6 cm

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x = 5 cm

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Solution

The correct option is A x = 8 cm

AB = XY (given)
$∠ A B C$ = $∠ X Y Z$ = $90^{\circ}$ (given)
If BC = YZ = 8 cm, then the two triangles are congruent by SAS congruency rule.
Hence, x = 8 cm.

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Similar questions

If $△ A B C$ and $△ X Y Z$ are right-angled triangles, right angled at B and Y respectively, then for what value of x will $△ A B C$ be congruent to $△ X Y Z$ ?

For what value of $x$ will $△ A B C$ be congruent to $△ X Y Z$ ?

Q. In

△ A B C

and

△ X Y Z

, if BC = YZ,

∠ A B C = ∠ X Y Z

and

∠ A C B = ∠ X Z Y,

, then by which postulate is

△ A B C ≅ △ X Y Z

For what value of $x$ will $△ A B C ≅ △ X Y Z$ ?

△ A B C

is similar to

△ X Y Z

S A S

similarity.If in

△ A B C

A B = 12, B C = 8, ∠ B = 60

and in

△ X Y Z

Find the value of

∠ Y

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If △ABC and △XYZ are right-angled triangles, right angled at B and Y respectively, then for what value of x will △ABC be congruent to △XYZ ?

The correct option is A x = 8 cm AB = XY (given) ∠ABC = ∠XYZ = 90∘ (given) If BC = YZ = 8 cm, then the two triangles are congruent by SAS congruency rule. Hence, x = 8 cm.

If $△ A B C$ and $△ X Y Z$ are right-angled triangles, right angled at B and Y respectively, then for what value of x will $△ A B C$ be congruent to $△ X Y Z$ ?

The correct option is A x = 8 cm

AB = XY (given)
$∠ A B C$ = $∠ X Y Z$ = $90^{\circ}$ (given)
If BC = YZ = 8 cm, then the two triangles are congruent by SAS congruency rule.
Hence, x = 8 cm.