In $Δ A B C and Δ D E F$ , it is given that $∠ B = ∠ E ∠ F = ∠ C and A B = - 3 D E$ , then the two triangles are

congruent but not similar

similar but not congruent

neither congruent nor similar

similar as well as congruent

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Text Solution

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The correct Answer is:B

$Δ A B C ~ Δ E D F$ [ by AA-similarity]
But $Δ A B C and Δ D E F$ are not congruent since their corresponding sides AB and DE are not equal .

Updated on:21/07/2023

Class 10 MATHS TRIANGLES

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Knowledge Check

Question 1 - Select One
In $Δ D E F and Δ P Q R$ , it is given that $∠ D = ∠ Q and ∠ R = ∠ E$ , then which of the following is not true?
A $\frac{E F}{P R} = \frac{D F}{P Q}$
B $\frac{D E}{P Q} = \frac{E F}{R P}$
C $\frac{D E}{Q R} = \frac{D F}{P Q}$
D $\frac{E F}{R P} = \frac{D E}{Q R}$
Question 1 - Select One
In $△ A B C and △ D E F$ , if $∠ A = ∠ F, ∠ B = ∠ D$ and AB = FD , then which one of the folloing congruence conditions applies :
ASAS
BASA
CSSS
DRHS
Question 1 - Select One
In $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then, the
Atriangles will be congruent if $∠ B$ is a right angle
Btriangles are congruent only if AB = AC
Ctriangles cannot be congruent
Dtriangles must be congruent
Question 1 - Select One
If $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then the
ATriangles cannot be congruent
BTriangles must be congruent
CTriangles will be congruent if . $∠ B$ is right angle
DTriangle are congruent only if AB = AC
Question 1 - Select One
In a $Δ A B C, ∠ C = 3 ∠ B = 2 (∠ A + ∠ B)$ , then $∠ B$ = ?
A $20^{\circ}$
B $40^{\circ}$
C $60^{\circ}$
D $80^{\circ}$
Question 1 - Select One
If $Δ A B C ~ Δ D E F,$ such that $∠ A = 47^{\circ} and ∠ E = 83^{\circ},$ what is the value of $∠ C$ ?
A $43^{\circ}$
B $50^{\circ}$
C $17^{\circ}$
D $55^{\circ}$
Question 1 - Select One
In $Δ A B C$ , $∠ A + ∠ B = 65^{\circ}, ∠ B + ∠ C = 140^{\circ}$ then find $∠ B$ .
A $40^{\circ}$
B $25^{\circ}$
C $35^{\circ}$
D $20^{\circ}$

In $Δ A B C and Δ D E F$ , it is given that $∠ B = ∠ E ∠ F = ∠ C and A B = - 3 D E$ , then the two triangles are

The correct Answer is:B

$Δ A B C ~ Δ E D F$ [ by AA-similarity]
But $Δ A B C and Δ D E F$ are not congruent since their corresponding sides AB and DE are not equal .

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Knowledge Check

In $Δ D E F and Δ P Q R$ , it is given that $∠ D = ∠ Q and ∠ R = ∠ E$ , then which of the following is not true?

In $△ A B C and △ D E F$ , if $∠ A = ∠ F, ∠ B = ∠ D$ and AB = FD , then which one of the folloing congruence conditions applies :

In $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then, the

If $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then the

In a $Δ A B C, ∠ C = 3 ∠ B = 2 (∠ A + ∠ B)$ , then $∠ B$ = ?

If $Δ A B C ~ Δ D E F,$ such that $∠ A = 47^{\circ} and ∠ E = 83^{\circ},$ what is the value of $∠ C$ ?

In $Δ A B C$ , $∠ A + ∠ B = 65^{\circ}, ∠ B + ∠ C = 140^{\circ}$ then find $∠ B$ .

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RS AGGARWAL-TRIANGLES-Multiple Choice Questions (Mcq)

In ΔABCandΔDEF, it is given that ∠B=∠E∠F=∠CandAB=−3DE, then the two triangles are

The correct Answer is:B

ΔABC~ΔEDF [ by AA-similarity] But ΔABCandΔDEF are not congruent since their corresponding sides AB and DE are not equal .

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In ΔDEFandΔPQR, it is given that ∠D=∠Qand∠R=∠E, then which of the following is not true?

In △ABCand△DEF , if ∠A=∠F,∠B=∠D and AB = FD , then which one of the folloing congruence conditions applies :

In ΔABCandΔLMN,AB=LM,AC=LNand∠B=∠M. Then, the

If ΔABCandΔLMN,AB=LM,AC=LNand∠B=∠M . Then the

In a ΔABC,∠C=3∠B=2(∠A+∠B), then ∠B = ?

If ΔABC~ΔDEF, such that ∠A=47∘and∠E=83∘, what is the value of ∠C ?

In ΔABC, ∠A+∠B=65∘,∠B+∠C=140∘ then find ∠B.

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RS AGGARWAL-TRIANGLES-Multiple Choice Questions (Mcq)

In $Δ A B C and Δ D E F$ , it is given that $∠ B = ∠ E ∠ F = ∠ C and A B = - 3 D E$ , then the two triangles are

$Δ A B C ~ Δ E D F$ [ by AA-similarity]
But $Δ A B C and Δ D E F$ are not congruent since their corresponding sides AB and DE are not equal .

In $Δ D E F and Δ P Q R$ , it is given that $∠ D = ∠ Q and ∠ R = ∠ E$ , then which of the following is not true?

In $△ A B C and △ D E F$ , if $∠ A = ∠ F, ∠ B = ∠ D$ and AB = FD , then which one of the folloing congruence conditions applies :

In $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then, the

If $Δ A B C and Δ L M N, A B = L M, A C = L N and ∠ B = ∠ M$ . Then the

In a $Δ A B C, ∠ C = 3 ∠ B = 2 (∠ A + ∠ B)$ , then $∠ B$ = ?

If $Δ A B C ~ Δ D E F,$ such that $∠ A = 47^{\circ} and ∠ E = 83^{\circ},$ what is the value of $∠ C$ ?

In $Δ A B C$ , $∠ A + ∠ B = 65^{\circ}, ∠ B + ∠ C = 140^{\circ}$ then find $∠ B$ .