Why Quadrilateral Abcd Is a Parallelogram?
Theorem: If in a Quadrilateral, Each Pair of Opposite Angles Is Equal, Then It Is a Parallelogram. Given: Abcd Is a Quadrilateral in Which ∠A = ∠C and ∠B = ∠D...
Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D . We know that the sum of the angles of a quadrilateral is 360o. Hence, ABCD is a parallelogram.
How do you prove a quadrilateral ABCD is a parallelogram?
Theorem: Opposite angles of a parallelogram are congruent to each other. In ABCD, ZA ∼ = ZC, and ZB ∼ = ZD. Conversely, if both pairs of opposite angles of a quadrilateral are congruent to each other, then the quadrilateral is a parallelogram.
When quadrilateral is a parallelogram?
If one pair of opposite sides of a quadrilateral is parallel and the other pair is congruent, then the quadrilateral is a parallelogram.
Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.
