Question

multiple choice 1 point
line segment ab is graphed below.

if ab is one side of parallelogram abcd, which coordinate pairs could present vertices c and d?
(-1,6) and (1,0)
(4,2) and (4,-4)
(-1,5) and (2,-1)
(-2,3) and (-1,-2)
14 multiple choice 1 point
what is most helpful when confirming a rectangle is a square?
determining all the sides are congruent
determining all the angles are right angles
determining opposite sides are parallel
determining if diagonals are congruent

Explanation:

Step1: Recall the properties of a square

A square is a special rectangle. A rectangle has four right - angles, opposite sides parallel and equal, and congruent diagonals. A square has all the properties of a rectangle and also has all sides congruent.

Step2: Analyze each option

• Option "Determining all the angles are right angles": This is a property of a rectangle, not what makes a rectangle a square.
• Option "Determining opposite sides are parallel": This is a property of a parallelogram (and thus of a rectangle), not what makes a rectangle a square.
• Option "Determining if diagonals are congruent": This is a property of a rectangle, not what makes a rectangle a square.
• Option "Determining all the sides are congruent": Since a rectangle already has four right - angles, if all its sides are congruent (in addition to the properties of a rectangle), then it is a square.

Answer:

Determining all the sides are congruent