$△$ DEF and $△$ LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent? Which condition do you use?
If $∠ F = 40^{\circ}$ , what is the measures $∠ N$ ?

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Solution

$Δ D E F & Δ L M N$
(i) DE = LM (Given)
(ii) EF = MN (Given)
(iii) DF = LN (Since, LM = LN)
By SSS congruency rule
$∠ F = ∠ N = 40^{\circ} (b y C P C T)$

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Question 146

$Δ D E F$ and $Δ L M N$ are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent? Which condition do you use?
If $∠ E = 40^{\circ}$ , what is the measure of $∠ N$ ?

Q. Triangles ABC and PQR are both isosceles with AB = AC and PQ = PR respectively. If also, AB = PQ and BC = QR, are the two triangles congruent? Which condition do you use? If ∠B =50°, what is the measure of ∠R?

For drawing a triangle LMN exactly same as triangle ABC, which of the following minimum conditions are required? (Given M = $90^{\circ}$ )

△

ABC and

△

DEF are two triangles, then to ensure that two triangles ABC and DEF are congruent, 3 conditions given; AB = DE, AC =DF,

∠

ABC =

∠

DEF are

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△ DEF and △ LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent? Which condition do you use? If ∠F=40∘, what is the measures ∠N?

ΔDEF &ΔLMN (i) DE = LM (Given) (ii) EF = MN (Given) (iii) DF = LN (Since, LM = LN) By SSS congruency rule ∠F = ∠N=40∘ (by CPCT)

$△$ DEF and $△$ LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent? Which condition do you use?
If $∠ F = 40^{\circ}$ , what is the measures $∠ N$ ?

$Δ D E F & Δ L M N$
(i) DE = LM (Given)
(ii) EF = MN (Given)
(iii) DF = LN (Since, LM = LN)
By SSS congruency rule
$∠ F = ∠ N = 40^{\circ} (b y C P C T)$