Question

figure a: 6 ft, 6 ft, 6 ft, 6 ft; figure b: 3 ft, 6 ft, 6 ft, 6 ft; figure c: 6 ft, 4 ft, 6 ft, 4 ft; (a) which figures are squares? 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 parallelograms? mark all that apply. figure a figure b figure c none of the figures

Explanation:

Step1: Recall square definition

A square has 4 equal - length sides and 4 right - angles. Figure A has 4 sides of length 6 ft and 4 right - angles, so it is a square. Figure B has non - equal side lengths (3 ft and 6 ft for the parallel sides), so it is not a square. Figure C has non - equal side lengths (4 ft and 6 ft), so it is not a square.

Step2: Recall rectangle definition

A rectangle has 4 right - angles and opposite sides are equal. Figure A is a special case of a rectangle (since all sides are equal). Figure C has 4 right - angles and opposite sides are equal (4 ft and 6 ft pairs), so it is a rectangle. Figure B is not a rectangle as it does not have 4 right - angles.

Step3: Recall parallelogram definition

A parallelogram has opposite sides parallel. Figure A is a special case of a parallelogram (since it has opposite sides parallel and equal). Figure C is a parallelogram as it has opposite sides parallel and equal. Figure B is not a parallelogram as its opposite sides are not parallel (it is a trapezoid).

Answer:

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