Express the congruence in the given triangles- Write in symbolic form-In - XYZ- XY-4-2 cm- XZ-6-5 cm - Y-90oIn - DEF- FE-6-5 cm- FD-4-2 cm - D-90o

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Standard IX

Mathematics

RHS Criteria for Congruency

Express the c...

Question

Express the congruence in the given triangles. Write in symbolic form.
In $Δ X Y Z, X Y = 4.2 c m, X Z = 6.5 c m ∠ Y = 90^{o}$
In $Δ D E F, F E = 6.5 c m, F D = 4.2 c m ∠ D = 90^{o}$

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Solution

In $△ X Y Z$ and $△ D E F$ ,
$X Z = F E = 6.5 c m$
$X Y = F D = 4.2 c m$
$∠ Y = ∠ D = 90^{o}$
Hence,
$△ X Y Z ≅ △ D E F$ by $R H S$ criterion.

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Similar questions

Q. Construct a parallelogram

A B C D

, where

A B = 3.6 c m, B C = 4.2 c m

and

A C = 6.5 c m

Q. In

△ A B C, ∠ A B C = 90^{o}, A D = D C, A B = 12 c m

and

B C = 6.5 c m

. Find the area of

△ A D B

Q. In fig,

∠ A B C = 90^{o}, A C = B C, O A = 12 c m

and

O C = 6.5 c m

. Find the area of

△ A O B .

Q. In the figure,

∠ B = 90^{o}, ∠ D = 90^{o}

, and

A O = O C

. Then

Δ B A O ≅ Δ D C O

by the congruence postulate

Construct the following quadrilateral.
Quadrilateral $P L A N$ where
$P L = 4 c m$
$L A = 6.5 c m$
$∠ P = 90^{\circ}$
$∠ A = 110^{\circ}$
$∠ N = 85^{\circ}$

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Express the congruence in the given triangles. Write in symbolic form.In ΔXYZ, XY=4.2 cm, XZ=6.5 cm ∠Y=90oIn ΔDEF, FE=6.5 cm, FD=4.2 cm ∠D=90o

In △XYZ and △DEF ,XZ=FE=6.5 cmXY=FD=4.2 cm∠Y=∠D=90oHence,△XYZ≅△DEF by RHS criterion.

Express the congruence in the given triangles. Write in symbolic form.
In $Δ X Y Z, X Y = 4.2 c m, X Z = 6.5 c m ∠ Y = 90^{o}$
In $Δ D E F, F E = 6.5 c m, F D = 4.2 c m ∠ D = 90^{o}$

In $△ X Y Z$ and $△ D E F$ ,
$X Z = F E = 6.5 c m$
$X Y = F D = 4.2 c m$
$∠ Y = ∠ D = 90^{o}$
Hence,
$△ X Y Z ≅ △ D E F$ by $R H S$ criterion.