Which of the following statements are true and which are false;
All squares are congruent.
If two squares have equal areas, they are congruent.
If two rectangles have equal areas, they are congruent.
If two triangles have equal areas, they are congruent.

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

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

State which of the following statements are true and which are false : A triangle can have two right angles.

Prove that a median divides a triangle into two triangles of equal area.

Fill in the blanks: Two square are congruent if Two rectangles are congruent if Two circles are congruent if

Show that the two triangles given the following figure are congruent.

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

If two angles and a side of one triangles are equal to two angles and a side of another triangles , the triangles are congruent.

Which of the following pairs of triangle are congruent by ASA condition?

Show that a median of a triangle divides it into two triangles of equal areas.