 # Congruence of Triangles

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• Q1

What can be said for the following statement: "Two triangles with equal corresponding angles need not be congruent."

Marks:1

It is partially true.

##### Explanation:
Two triangles with equal corresponding angles need not be congruent. This is a case when one of the triangles is an enlarged/reduced copy of the other.
• Q2

In ABC and DEF
AC = DF
AB = DE B = E = 90o
So, ABC  DEF by

Marks:1

RHS.

##### Explanation:
Here, the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle. This criterion is known as RHS congruence rule.
• Q3

In ABC and DEF, AC = DF, AB = DE and BC = EF, then congruency of ABC and DEF is defined by

Marks:1

SSS.

##### Explanation:
Since the three sides of one triangle are equal to the three corresponding sides of another triangle. This criterion is known as SSS congruence rule.
• Q4

In the given figure, triangle ABD is congruent to triangle ACD. The rule which defines their congruence is Marks:1

SSS.

##### Explanation:

In the triangle ABD and ACD,
AB = AC (given)
BD = CD (given)

Hence, the triangle ABD is congruent to triangle ACD, by SSS rule.