In a squared sheet, draw two triangles of equal areas such that
the triangles are congruent. What do you say about its perimeters?

In a squared sheet, draw two triangles of equal areas such that the triangles are not congruent. What do you say about its perimeters?

If the areas of two similar triangles are equal, prove that they are congruent.

Two equilateral triangles are always congruent.

If the side of the square is halved. What can you say about its area?

If two medians of a triangle are equal, prove that the triangle is isosceles.

Two isosceles triangles are always congruent.

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using SAS congruence rule. If the triangles are congruent, write them in symbolic form. (It will be always helpful to draw a rough figure, mark the measuremants and then probe the question).

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using RHS congruence rule. In case of congruent triangles, write the result in symbolic form: