Question

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

A square has four equal sides and four right angles. Figure A has four sides of 3 cm and four right angles, so it is a square. Figure B is a parallelogram with sides 2 cm, 4 cm, 2 cm, 4 cm (not equal), so not a square. Figure C has sides 2 cm, 4 cm, 2 cm, 4 cm (not equal), so not a square.

A parallelogram has opposite sides parallel and equal. Figure A (square, a type of parallelogram) has opposite sides equal and parallel. Figure B is a parallelogram (opposite sides 2 cm, 4 cm are equal and parallel). Figure C (rectangle, a type of parallelogram) has opposite sides equal and parallel. So all three figures are parallelograms.

A rectangle has four right angles and opposite sides equal. Figure A (square, a type of rectangle) has four right angles and equal sides. Figure C has four right angles and opposite sides (2 cm, 4 cm) equal. Figure B has no right angles, so not a rectangle.

Answer:

Figure A

(b) Which figures are parallelograms?