∠J ⇔ ∠D
NB ⇔XH
∠P ⇔ ∠L
JN ⇔ DX
Step-by-step explanation:
A flat shape with 4 straight sides where opposite sides are parallel,opposite sides are equal in length, and opposite angles are equal is called Parallelogram.
Here in above picture, Parallelogram NBPJ ~ Parallelogram XHLD i.e. both are similar as all the sides and all the angles are congruent. . Since, parallelograms are similar every corresponding angle or side is also similar to other parallelogram . ∴ ∠J is similar to ∠D as angle D is corresponding to angle J in both parallelograms { ∠J ⇔ ∠D }. Side NB is corresponding to side XH , so NB ⇔XH. ∠P is corresponding to ∠L , ∴ ∠P ⇔ ∠L. Side JN corresponds to Side DX , so JN ⇔ DX.
