In the given figure- it is given that LM-ON and NL-MO-ii Is - NOM - MLN- Given reason-

Step: Checking for congruence of triangles Given , nbsp; LM=ON and NL=MO. In Δ NOM and Δ MLN LM = ON (Given) NL = MO nbsp; (Given) MN = NM (Common sid ...

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Standard VIII

Mathematics

ASA Congruency

In the given ...

Question

In the given figure, it is given that LM=ON and NL=MO.

(ii) Is $Δ N O M ≅ Δ M L N$ . Given reason?

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Solution

Step: Checking for congruence of triangles

Given , LM=ON and NL=MO.

In $Δ N O M a n d Δ M L N$

LM = ON (Given)

NL = MO (Given)

MN = NM (Common side)

$∴ Δ N O M ≅ Δ M L N$ [By SSS Congruency]

Hence, $Δ N O M ≅ Δ M L N$ .

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Similar questions

Q. In the given figure, LM CB and LN CD.
Prove that

\frac{A M}{A B} = \frac{A N}{A D} .

Question 145 (ii)

In the given figure, it is given that LM = ON and NL = MO

Is $Δ N O M ≅ Δ M L N$ ? Give reason.

Question 145 (i)

In the given figure, it is given that LM = ON and NL = MO

State the three pairs of equal parts in the $Δ N O M$ and $Δ M L N$

Q. In the given figure, it is given that LM=ON and NL=MO.

(i) State the three pairs of equal parts in the triangles NOM and MLN.

Q. In the figure given below,

A B ∥ C R

and

L M ∥ Q R

.
(i) Prove that

B M / M C = A L / L Q

(ii) Calculate

L M : Q R

, given that

B M : M C = 1 : 2

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In the given figure, it is given that LM=ON and NL=MO. (ii) Is ΔNOM≅ΔMLN. Given reason?

Step: Checking for congruence of triangles Given , LM=ON and NL=MO. In ΔNOM and ΔMLN LM = ON (Given) NL = MO (Given) MN = NM (Common side) ∴ΔNOM≅ΔMLN [By SSS Congruency] Hence, ΔNOM≅ΔMLN.

In the given figure, it is given that LM=ON and NL=MO.

(ii) Is $Δ N O M ≅ Δ M L N$ . Given reason?

Step: Checking for congruence of triangles

Given , LM=ON and NL=MO.

In $Δ N O M a n d Δ M L N$

LM = ON (Given)

NL = MO (Given)

MN = NM (Common side)

$∴ Δ N O M ≅ Δ M L N$ [By SSS Congruency]

Hence, $Δ N O M ≅ Δ M L N$ .