In ABC and XYZ- if - ABC - XY Z -90- AC - XZ and BC - YZ- then by which postulate is ABC - XY Z -A- SSSB- RHSC- SASD- ASA

The correct option is B RHS In ABC and XYZ, (i) ∠ ABC = ∠ XYZ = 90^∘ ....(given) (ii) AC = XZ ......(given) (iii) BC = ZY ......(given) ⇒ ABC ≅ XYZ ....(RHS ...

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Standard VII

Mathematics

RHS Criteria for Congruency

In ABC and XY...

Question

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

SSS

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SAS

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RHS

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Solution

The correct option is D
RHS

In $△ A B C$ and $△$ XYZ,

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

(ii) AC = XZ ......(given)

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

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

Hence (D)

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Similar questions

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 $△ A B C$ 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 $△ A B C ≅ △ Z X Y$ ?

△ 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

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Q. For

△ A B C

and

△ X Y Z

△ A B C \leftrightarrow △ X Y Z

is a similarity. If

\frac{A B}{4} = \frac{B C}{6} = \frac{C A}{3}

A C = 3

X Y = 5

, find

Y Z

and

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Q. In triangle ABC, AB = 2.2 cm, BC = 1.5 cm and AC = 2.3 cm. In triangle XYZ, XY = 4.4 cm, YZ = 3 cm and XZ = 4.6 cm. Find the ratio AB : XY, BC : YZ, AC : XZ. Are the lengths of corresponding sides of

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ABC and

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XYZ are in proportion?

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

The correct option is D RHS In △ABC and △ XYZ, (i) ∠ABC=∠XYZ=90∘ ....(given) (ii) AC = XZ ......(given) (iii) BC = ZY ......(given) ⇒ △ABC≅△XYZ ....(RHS Postulate ) Hence (D)

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

The correct option is D
RHS

In $△ A B C$ and $△$ XYZ,

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

(ii) AC = XZ ......(given)

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

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

Hence (D)