Question

PLEASE HELP. 50 POINTS. WILL MARK BRAINLIEST​

Answer 1

Answer:

• Option C

Step-by-step explanation:

If the given is the parallelogram, its opposite sides are parallel.

It means the slopes of those lines are equal:

• AB ║ CD
• (y₂ - y₁)/(x₂ - x₁) = (y₄ - y₃)/(x₄ - x₃)

If the parallelogram is a rectangle, then its adjacent sides are perpendicular.

It means the product of slopes of those lines is - 1:

• CD ⊥ AD or CD ⊥ BC
• (y₄ - y₃)/(x₄ - x₃) ×  (y₄ - y₁)/(x₄ - x₁) = - 1

or

• (y₄ - y₃)/(x₄ - x₃) ×  (y₃ - y₂)/(x₃ - x₂) = - 1

The matching choice is combination of AB ║ CD and CD ⊥ BC.

Correct choice is C