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PLZ HELP ITS DUEEE RNNNNN!!!!

PLZ HELP ITS DUEEE RNNNNN!!!!-example-1

1 Answer

3 votes

Answer:

  • left: all three attributes
  • center: not a rectangle
  • right: not a rectangle

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

__

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
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