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SAS Criteria for Congruency

If A B C and ...

Question

If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5cm and ∠D = 75°. Are two triangles congruent?

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Solution

It is given that

Since, two sides and angle between them are equal, therefore triangle ABC and DEF are congruent.

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Q. If ABC and DEF are two triangles such that ΔABC

≅

ΔFDE and AB = 5cm, ∠B = 40°

(a) DF = 5cm, ∠F = 60°

(b) DE = 5cm, ∠E = 60°

(c) DF = 5cm, ∠E = 60°

(d) DE = 5cm, ∠D = 40°

△

△

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

∠

∠

Two triangles ABC and DEF are such that, AB = ED, BC = DF, AC = EF

Q. Construct a triangle

A B C

A B = 5 c m, ∠ A = 30^{\circ}

A C - B C = 2.5 c m

△ A B C

△ P Q R

A B = 2.5 c m, A C = 3.5 c m, B C = 4.0 c m, P Q = 5 c m, P R = 7 c m

Q R = 8 c m

, then find whether

△ A B C

△ P Q R

are similar or not

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