Question

A diagonal of a llgm divided it into two congruent triañgles

Answer 1

Answer:

Theorem 1 - The Diagonal Divides a Parallelogram into Two Congruent Triangles. Proof : ... Similarly diagonal AC divides ||gmABCD into two congruent triangles ABC and ADC. Hence the diagonal divides a parallelogram into two congruent triangles.

Answer 2

A diagonal of a llgm divides it into two congurent triangles.

★$\huge\textsf{Given:-}$

ABCD is llgm and AC is diagonal.

★$\huge\textsf{To\:proof:-}$

∆ ADC congurent ∆ABC.

★$\huge\textsf{Proof:-}$

In ∆ADC and ∆ABC

AB = DC (given)

AD=BC (given)

AC = AC (common)

∆ADC congurent ∆ABC.