Assertion :Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Reason: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
Which of the following options hold?

Assertion is correct and Reason is true

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is incorrect but Reason is correct

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Both Assertion and Reason are incorrect

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Assertion is incorrect but Reason is correct
By $S A S$ congurance condition, two triangles are congurent when two sides and included angle of one triangle is equal to two sides and included angle of the other triangle.

So assertion is false because included angle is not mentioned.

Suggest Corrections

Similar questions

Q. Assertion : Two

Δ

s are said to be congruent if two sides and an angle of the one triangle are respectively equal to the two sides and an angle of the other triangle.
Reason: Two

Δ

s are congruent if two sides and the included angle of the one triangle are equal to the corresponding two sides and included angle of the other triangle.

Two statements A and R are given above. Which of the following statements is correct?

Q. Which of the following statements is CORRECT?
Statement-1 : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
Statement-2 : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.

Q. Assertion: Each angle of an equilateral triangle is 60°.
Reason: Angles opposite to equal sides of a triangle are equal.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: ∆ABC and ∆DBC are two isosceles triangles on the same base BC. Then, ∠ABD = ∠ACD.

Reason: The angles opposite to equal sides of a triangle are equal.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

If two sides and the included angle of a triangle are respectively equal to two sides and the included angle of the other triangle, the two triangles are congruent.

Join BYJU'S Learning Program