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Side Angle Side or S-A-S Congruence

When two tria...

Question

When two triangles have any of the two sides as equal in length and the angle between the equal sides are equal in measure, then both the triangles are congruent by -

A

SAS condition

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B

SSS condition

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C

RHS condition

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D

ASA condition

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Solution

The correct option is A SAS condition
SAS or Side Angle Side is the congruent condition of triangles in which the two triangles have two of their sides as equal and the angle between the equal sides as equal.

Hence, triangles will be the congruent by SAS condition.

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Q. When two triangles have corresponding sides equal in length, then the two triangles are congruent.

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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.
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(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.
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In two triangles, if two corresponding sides and the included angle are equal, then the triangles are congruent.

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