Use the following information and diagram to answer the question. Given: Quadrilateral ABDC has vertices at A(2,6), B(6,8), C(1,2), and D(5,4). Prove: Quadrilateral ABDC is a parallelogram. Which plan for a proof for this problem will show that quadrilateral ABDC

Question

Use the following information and diagram to answer the question. Given: Quadrilateral ABDC has vertices at A(2,6), B(6,8), C(1,2), and D(5,4). Prove: Quadrilateral ABDC is a parallelogram. Which plan for a proof for this problem will show that quadrilateral ABDC

is a parallelogram?

Answer 1

One possible plan for a proof to show that quadrilateral ABDC is a parallelogram:

1. Show that opposite sides of ABDC are parallel.
2. Show that opposite sides of ABDC are congruent.
3. Conclude that ABDC is a parallelogram by the definition of a parallelogram.

This plan follows the properties and characteristics of a parallelogram, which state that opposite sides are parallel and congruent. By proving these two properties, it can be concluded that ABDC is a parallelogram.