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 squares?
mark all that apply.
☐ figure a ☐ figure b ☐ figure c ☐ none of the figures
(c) which figures are rectangles?
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 (it is a parallelogram). Figure B is a rectangle, which is a type of parallelogram (all rectangles have parallel opposite sides). Figure C has opposite sides equal and parallel, so it is also a parallelogram.
(b) A square is a quadrilateral with four equal sides and four right angles. None of the figures have four equal sides (all have two pairs of sides of lengths 4 mm and 6 mm), so no squares.
(c) A rectangle is a parallelogram with four right angles. Only Figure B has four right angles and opposite sides equal, so it is the only rectangle.

Answer:

(a) Figure A, Figure B, Figure C
(b) None of the figures
(c) Figure B