Question

answer the questions about the figures below.
figure a
figure b
figure c
(a) which figures are rectangles?
mark all that apply.
figure a figure b figure c none of the figures
(b) which figures are squares?
mark all that apply.
figure a figure b figure c none of the figures
(c) which figures are parallelograms?
mark all that apply.
figure a figure b figure c none of the figures

Explanation:

(a)

Step1: Recall rectangle definition

A rectangle has four right angles and opposite sides equal.
Figure A: All sides \(2\) in (a special rectangle - square). Figure B: Opposite sides \(4\) in and \(2\) in, four right angles. Figure C: No right angles (parallelogram, not rectangle).

(b)

Step1: Recall square definition

A square has four right angles and all sides equal.
Figure A: All sides \(2\) in. Figure B: Sides \(4\) in and \(2\) in (not all equal). Figure C: No right angles.

(c)

Step1: Recall parallelogram definition

A parallelogram has opposite sides parallel and equal.
Figure A: Opposite sides equal and parallel (a special parallelogram - square). Figure B: Opposite sides equal and parallel (a rectangle is a special parallelogram). Figure C: Opposite sides equal and parallel.

Answer:

(a) Figure A, Figure B
(b) Figure A
(c) Figure A, Figure B, Figure C