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Criteria for Triangle Congruence

Congruence of Triangles
Maths
Class 7

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Criteria for Triangle Congruence

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If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then prove that two triangles are congruent. 

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If the 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.If true enter 1 else 0. 

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Given in fig. 4, the criteria by which the triangles are congruent :

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In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.

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In Figure 6.29, AD BC and AD is the bisector of angle BAC. Then, by RHS.

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In the figure, ABCD is a parallelogram is produced to E such that . AD produced to F such that . Show that .

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In the adjacent figure is a square and is an equilateral triangle. Prove that

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In the given figure, and are points on and respectively such that . Prove that

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In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

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In the given fig & such that , . Prove that

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