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SAS Postulate

Two triangles...

Question

Two triangles are said to be congruent if the sides and angles of one triangle are ___ the corresponding sides and angles of the other triangle.

A

lesser than

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B

not equal to

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C

greater than

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D

equal to

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Solution

The correct option is D equal to
Two triangles are said to be congruent if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle.

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Similar questions

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 :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?

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

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. Two triangles having same side lengths and same corresponding angles are said to be congruent triangles.

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