prove by using the principle of similar triangles that:
the diagonals of of a parallelogram bisects each other.

prove by using the principle of similar triangles that: the line segment drawn parallel to the side of a triangle divides the other sides proportionally.

prove by using the principle of similar triangles that: the centroid of triangle divides a median in the ratio of 2:1 .

prove by using the principle of similar triangles that: in a right angle triangle, the square on the hypotenuse is equal to the sum of squares on the two other sides. (Pythagoras theorem)

prove by using the principle of similar triangles that: if a line segment divides two sides of a triangle proportionally, then it is a parallel to the third side.

Name the quadrilaterals whose diagonals. are perpendicular bisectors of each other

Name the quadrilaterals whose diagonals. bisect each other

The length of one diagonal of a parallelogram is 8 cm. and height of each of the triangles whose common base is the given diagonal of the parallelogram is 4 cm. Find the area of the parallelogram.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding angle bisector.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

If the areas of a similar triangle are equal,prove that they are congruent.