Question

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

Explanation:

Step1: Recall definitions

A parallelogram has opposite - sides parallel. A rectangle is a parallelogram with four right - angles. A square is a rectangle with all sides equal.

Step2: Analyze Figure A

Figure A has all sides equal (\(6\) cm) and four right - angles. So it is a square, a rectangle, and a parallelogram.

Step3: Analyze Figure B

Figure B has opposite sides equal (\(6\) cm and \(3\) cm) and four right - angles. So it is a rectangle and a parallelogram, but not a square.

Step4: Analyze Figure C

Figure C has opposite sides equal (\(6\) cm and \(4\) cm) and is a parallelogram, but it has no right - angles. So it is only a parallelogram.

Answer:

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