In particular, diagonals of a parallelogram intersect each other at a point that divides each diagonal in half.
So in parallelogram ABCD, its correct to assert that AB equals CD and that BC equals DA. Therefore, rhombus has all the properties of parallelogram. The slope of BC is (5 - 2) / (3 - 2) = 3/1 = 3. Final answer: In a parallelogram, opposite sides are indeed equal. Heres the complete proof: Quadrilateral ABCD is a parallelogram. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.Ī.) lengths of consecutive sides are not equalĭ.) slopes of consecutive sides are not equalĬomplete the proof to show that ABCD is a parallelogram: My intuition is that ABCD is definitely a rectangle, since two opposite angles of the quadrilateral are both right angles in the first place.
Complete the proof to show that ABCD is a parallelogram.
