Question

∆ABC ~= ∆ DEF and angle A= 80°,AB =6 cm, AC= 5 cm , angle A= angle D and DE is congruent to AB then find OE and DF.​

Answer 1

Step-by-step explanation:

Example 1:

triangle to be congruent SAS(Side angle Side) axiom we need to have two equal sides and the included angle same.

In ΔABC and ΔDFE

We have AB=DF

and ∠A=∠D

But ∠A is formed by the two sides AB and AC of ΔABC

But ∠D is formed by the two sides DE and DF of ΔDFE

So we need AC=DE for the two triangles to be congruent

Example 2:

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ .

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE=5cm, since it is not defined.

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE=5cm, since it is not defined.In the second option, DF=5cm and ∠E=60

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE=5cm, since it is not defined.In the second option, DF=5cm and ∠E=60 ∘

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.In the first option, DF=5 cm but ∠F is not equal to 60 ∘ . In the third and the fourth options, the length of DE=5cm, since it is not defined.In the second option, DF=5cm and ∠E=60 ∘ is satisfied