In ABC and XYZ- if AB - XY - BC - YZ and - ABC - XYZ -90- then by which postulate is ABC - XY Z -A- SSSB- SASC- ASAD- RHS

The correct option is B SAS In ABC and XYZ, (i) AB = XY .......(given) (ii)∠ ABC = ∠ XYZ = 90^∘ .....(given) (iii) BC = ZY .......(given) nbsp;⇒ ABC ≅ X ...

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Byju's Answer

Standard VII

Mathematics

SAS Criteria for Congruency of Triangles

In ABC and XY...

Question

In $△$ ABC and $△$ XYZ, if AB = XY, BC = YZ and $∠$ ABC = $∠$ XYZ = $90^{\circ}$ , then by which postulate is $△ A B C$ $≅ △ X Y Z$ ?

SSS

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SAS

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ASA

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RHS

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Solution

The correct option is B
SAS

In $△$ ABC and $△$ XYZ,

(i) AB = XY .......(given)

(ii) $∠ A B C = ∠ X Y Z = 90^{\circ}$ .....(given)

(iii) BC = ZY .......(given)

$\Rightarrow △ A B C ≅ △ X Y Z$ ......(SAS Postulate)

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Similar questions

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 $△ A B C ≅ △ Z X Y$ ?

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

In the given figure, if $∠$ ACB = $∠$ CAD = $90^{\circ}$ and AB = DC, then by which postulate is $△$ ABC $≅$ $△$ ADC ?

△ A B C

is similar to

△ X Y Z

S S S

similarity. If in

△ A B C

A B = 12, B C = 8, A C = 6

and in

△ X Y Z,

X Y = 6, Y Z = 4

. Find the value of

X 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^{o}

and in

△ X Y Z

X Y = 3

∠ Y = 60^{o}

. Find the value of

Y Z

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In △ ABC and △ XYZ, if AB = XY, BC = YZ and ∠ ABC = ∠XYZ = 90∘, then by which postulate is △ABC ≅△XYZ ?

The correct option is B SAS In △ ABC and △ XYZ, (i) AB = XY .......(given) (ii)∠ABC=∠XYZ=90∘ .....(given) (iii) BC = ZY .......(given) ⇒ △ABC≅△XYZ ......(SAS Postulate)

In $△$ ABC and $△$ XYZ, if AB = XY, BC = YZ and $∠$ ABC = $∠$ XYZ = $90^{\circ}$ , then by which postulate is $△ A B C$ $≅ △ X Y Z$ ?

The correct option is B
SAS

In $△$ ABC and $△$ XYZ,

(i) AB = XY .......(given)

(ii) $∠ A B C = ∠ X Y Z = 90^{\circ}$ .....(given)

(iii) BC = ZY .......(given)

$\Rightarrow △ A B C ≅ △ X Y Z$ ......(SAS Postulate)