Theorem 8.1 : A diagonal of a parallelogram divides it into two congruent triangles.

A diagonal of parallelogram divides it into two congruent triangles.

A diagonal of parallelogram divides it into two congruent triangles.

Prove that each diagonal of a parallelogram divides it into two congruent triangles.

A diagonal of a parallelogram divides it into two triangles of equal area.

A diagonal of parallelogram divides it into four triangles of equal area.

Prove that each of the following diagonals of a parallelogram divides it into two congurent triangles. The following lowing are the steps involved in proving the above results. Arrange them in sequential order. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VIII_C16_E04_031_Q01.png" width="80%"gt (A) By SSS conguruence property , Delta DAB ~= Delta BCD . (B) Let ABCD be a parallelogram and join BD. (C ) AB=CD,AD=BC (opposite sides of parallelogram) and BD =BD (common side). (D ) Similarly , AC divides the parallelogram into two congruent triangles.

Show that the diagonals of a rhombus divide it into four congruent triangles.

Show that the diagonals of a rhombus divide it into four congruent triangles.