Congruence of Triangles
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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.
In ABC and DEF
AC = DF
AB = DE
B = E = 90o
So, ABC DEF byMarks:1
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.
In ABC and DEF, AC = DF, AB = DE and BC = EF, then congruency of ABC and DEF is defined byMarks:1
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.
In the given figure, triangle ABD is congruent to triangle ACD. The rule which defines their congruence is
In the triangle ABD and ACD,
AB = AC (given)
BD = CD (given)
AD = AD (Common)
Hence, the triangle ABD is congruent to triangle ACD, by SSS rule.
Among two congruent angles, one has a measure of 600 ; the measure of the other angle is …….Marks:1
Explanation:When two angles are congruent, then measure of each angle is equal.