Given below are the measurements of some parts of two triangles. Examine whether the two triangles or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.
$△ A B C △ D E F A B = 7 c m, B C = 5 c m, ∠ B = 50 ° D E = 5 c m, E F = 7 c m, ∠ E = 50 °$

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Solution

$I n △ A B C a n d △ D E F A B = E F (G i v e n) B C = E F (G i v e n) ∠ B = ∠ E (50 ° e a c h) △ A B C ≅ △ D E F (S A S)$
Hence, two triangles are congruent by SAS criterion.

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From the given data, draw a rough figure, mark the measurements and examine whether the two triangles are congruent or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.

$∆ A B C$
$A B = 7 c m, B C = 5 c m, ∠ B = 50 °$

$∆ D E F$
$D E = 5 c m, E F = 7 c m, ∠ E = 50 °$

Given below are the measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form.

$△ A B C △ P Q R ∠ A = 90 °, A C = 5 c m, B C = 9 c m ∠ Q = 90 °, P R = 8 c m, P Q = 5 c m$

Q. Given below are some measurements of some parts of two triangles. Examine whether the two triangles are congruentor not by ASA congruence rule. In case they are congruent write them in symbolic form.
1. <D=60 degree , <F =60 degree , DF=5cm
angle Q=60 degree , angle R= 60 degree , QP=5cm

Q. Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by

A S A

congruence rule. In case of congruence, write it in the symbolic form

Given below are measurements of some parts of two triangles.Examine whether the two triangles are congruent or not,using RHS congruence rule.In case of congruent triangles, write the result in symbolic form:

△ A B C

has

∠ B = 90^{\circ}, A C = 8

cm,

A B = 3

cm and

△ P Q R

has

∠ P = 90^{\circ}, P R = 3

cm,

Q R = 8

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Given below are the measurements of some parts of two triangles. Examine whether the two triangles or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.△ABC△DEFAB=7cm,BC=5cm,∠B=50°DE=5cm,EF=7cm,∠E=50°

In△ABCand△DEFAB=EF(Given)BC=EF(Given)∠B=∠E(50°each)△ABC≅△DEF(SAS)Hence, two triangles are congruent by SAS criterion.

Given below are the measurements of some parts of two triangles. Examine whether the two triangles or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.
$△ A B C △ D E F A B = 7 c m, B C = 5 c m, ∠ B = 50 ° D E = 5 c m, E F = 7 c m, ∠ E = 50 °$

$I n △ A B C a n d △ D E F A B = E F (G i v e n) B C = E F (G i v e n) ∠ B = ∠ E (50 ° e a c h) △ A B C ≅ △ D E F (S A S)$
Hence, two triangles are congruent by SAS criterion.