Question

figure a
3 ft
5 ft 5 ft
3 ft
figure b
4 ft
4 ft 4 ft
4 ft
figure c
2 ft
3 ft 3 ft
5 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 four equal - length sides and four right - angles. Figure B has side lengths of 4 ft each and four right - angles, so it is a square. Figures A and C do not meet these criteria.

Step2: Recall rectangle definition

A rectangle has four right - angles and opposite sides are equal. Figure B is a rectangle (a special case where all sides are equal), and since a square is a type of rectangle, Figure B is a rectangle. Figure A is a parallelogram (opposite sides are equal but no right - angles), and Figure C is a trapezoid (not all opposite sides are equal and no right - angles).

Step3: Recall parallelogram definition

A parallelogram has opposite sides equal. Figure A has opposite sides of length 3 ft and 5 ft, so it is a parallelogram. Figure B is also a parallelogram (a special case with right - angles). Figure C is not a parallelogram as its opposite sides are not all equal.

Answer:

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