Answer:
- left: all three attributes
- center: not a rectangle
- right: not a rectangle
Step-by-step explanation:
Some relevant characteristics of different quadrilaterals are ...
- trapezoid: one pair of parallel sides
- parallelogram: opposite angles are congruent, diagonals bisect each other
- rectangle: a parallelogram; and all angles are congruent, diagonals are the same length
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a.
There are two angles marked as right angles, and the remaining two angles are marked as congruent. The sum of angles in a quadrilateral is 360°, and each right angle is 90°. The only way the remaining angles can be congruent is for them to be (360° -180°)/2 = 90° each. That is, all of the angles in this figure must be congruent. It is ...
- quadrilateral
- parallelogram
- rectangle
__
b.
Opposite angles are marked congruent. There is nothing to indicate any angle is a right angle. The figure is ...
- quadrilateral
- parallelogram
__
c.
The diagonals are marked as bisecting each other. There is nothing to indicate the diagonals are the same length, or that any angle is a right angle. The figure is ...
- quadrilateral
- parallelogram
