Question

the formula that goes with the given characteristic. sides are parallel diagonals bisect sides or diagonals are congruent sides or diagonals are perpendicular drag & drop the answer midpoint formula distance formula or pythagorean theorem slope formula

Explanation:

Step1: Recall parallel - lines property

Parallel lines have equal slopes. So, the slope formula is used to check if sides are parallel.

Step2: Recall mid - point concept

The mid - point formula is used to check if diagonals bisect each other as the mid - point of both diagonals should be the same for them to bisect.

Step3: Recall distance concept

The distance formula (or Pythagorean theorem) is used to check if sides or diagonals are congruent as congruent segments have equal lengths.

Step4: Recall perpendicular - lines property

Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope formula is used to check if sides or diagonals are perpendicular.

Answer:

Sides are parallel: Slope Formula
Diagonals bisect: Midpoint Formula
Sides or diagonals are congruent: Distance Formula or Pythagorean Theorem
Sides or diagonals are perpendicular: Slope Formula