Question

answer the questions about the figures below.
figure a
figure b
figure c
(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:

(a) A parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal. Figure A has opposite sides equal and parallel, Figure B (a square) has opposite sides equal and parallel, Figure C has opposite sides equal and parallel, so all three are parallelograms.
(b) A rectangle is a parallelogram with four right angles. Figure A has four right angles and opposite sides equal, Figure B (a square) is a special rectangle with four right angles and all sides equal, while Figure C has no right angles, so it is not a rectangle.
(c) A square is a quadrilateral with four equal sides and four right angles. Only Figure B has all sides equal and four right angles; Figure A has unequal adjacent sides, and Figure C has no right angles.

Answer:

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