Question

question 1 (worth 1 points)
which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a square?
prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals
prove that segments ad and ab are congruent and parallel
prove that opposite sides are congruent and that the slopes of consecutive sides are equal
prove that segments bc and cd are congruent and parallel
question 2 (worth 1 points)

Explanation:

Step1: Recall properties of a square

A square has all - sides congruent and adjacent sides are perpendicular (slopes of adjacent sides are negative reciprocals).

Step2: Analyze the options

• Option 1 only shows congruence and parallelism of two non - opposite sides.
• Option 2 only shows congruence and slope relationship of opposite sides.
• Option 3 only shows congruence and parallelism of two non - opposite sides.
• Option 4: Proving all sides are congruent and slopes of consecutive sides are opposite reciprocals proves that the quadrilateral has all equal sides and right angles, which are the properties of a square.

Answer:

Prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals.