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Important questions on Criteria For Triangle Congruence

HARD

In right triangle , right angled at , is the mid-point of hypotenuse . is joined to and produced to a point such that . Point is joined to point (see the given figure). Show that:  

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HARD

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

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HARD

Prove that any two sides of a are together greater than twice the median drawn to the third side.

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HARD

  and    are two isosceles triangles on the same base    (see Fig.). Show that 

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HARD

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

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HARD

Plot the points and on the graph paper. Draw the triangle formed by reflecting these points in the x-aixs. Are the two triangles congruent?

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HARD

In the given figure, and . Prove that .

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HARD

By applying congruence rule, you want to establish that . It is given that and . What additional information is needed to establish the congruence?

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HARD

In right triangle , right angled at is the mid-point of hypotenuse . is joined to and produced to a point such that . Point is joined to point . Show that 

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MEDIUM

If and , then

A

B

C

D

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More important questions

Introduction to Congruence