1. Tardigrade
  2. Question
  3. Mathematics
  4. Show that each diagonal of a parallelogram divide it into two congruent triangles. The following are the steps involved in showing the above result. Arrange them in sequential order. (A) In triangle A B C and triangle C D A, A B=D C and B C=A D(∵ opposite angles of parallelogram) A C=A C (common side). (B) Let A B C D be a parallelogram. Join A C. (C) By SSS congruence property, triangle A B C ≅ triangle C D A. (D) Similarly, B D divides the triangle into two congruent triangles.

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Q. Show that each diagonal of a parallelogram divide it into two congruent triangles. The following are the steps involved in showing the above result. Arrange them in sequential order. (A) In $\triangle A B C$ and $\triangle C D A, A B=D C$ and $B C=A D(\because$ opposite angles of parallelogram) $A C=A C$ (common side). (B) Let $A B C D$ be a parallelogram. Join $A C$. (C) By SSS congruence property, $\triangle A B C \cong \triangle C D A$. (D) Similarly, $B D$ divides the triangle into two congruent triangles.

Geometry

Solution:

$BACD$ is the required sequential order.