Question

Here is my question
Given below are measurements of some parts of a triangle . Examine whether these two triangles are congruent or not . If yes , then write them in the symbolic form by ASA congruence rule.
1-Angel D= 60° Angle F= 80° DF=5cm
2- Angle Q=60° Angle R=40° QP= 5cm

Answer 1

Answer:

no

Step-by-step explanation:

these are not congruent because here(according to the question) we must use ASA property .

here,

A(angle)- it is equal .... that is 60 and 60

S(side)- they are equal 5cm and 5cm

A(angle)-they are not equal one is 80 degrees and 140 degrees

Answer 2

Both the triangles are congruent.

Step-by-step explanation:

Consider the provided information.

Let us consider that first triangle is ΔDEF.

It is given that Angel D= 60° Angle F= 80° DF=5cm

As we know sum of all interior angle of a triangle is 180°

∠D+∠E+∠F=180°

60°+∠E+80°=180°

∠E=180°-140°

∠E=40°

Let the second triangle is ΔPQR.

It is given that Angle Q=60° Angle R=40° QP= 5cm

We need to use use ASA congruence rule.

ASA means Angle side angle property.

In triangle ΔDEF and ΔPQR.

∠D=∠Q=60°      (Given)

∠E=∠R=40°

DE=QP=5 cm    (Given)

∴ ΔDEF≅ΔPQR     (ASA congruence rule)

Hence, both the triangles are congruent.

#Learn more

State Asa congruence rule

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