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 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: Define square properties

A square has 4 equal sides and 4 right angles.

Step2: Match figures to squares

• Figure A: Sides 4/6 in, no right angles → Not square.
• Figure B: 4 equal 6-in sides, 4 right angles → Square.
• Figure C: Sides 3/6 in → Not square.

Step3: Define rectangle properties

A rectangle has 4 right angles, opposite sides equal.

Step4: Match figures to rectangles

• Figure A: No right angles → Not rectangle.
• Figure B: Meets rectangle rules (is a square, a special rectangle) → Rectangle.
• Figure C: 4 right angles, opposite sides equal → Rectangle.

Step5: Define parallelogram properties

A parallelogram has opposite sides parallel and equal.

Step6: Match figures to parallelograms

• Figure A: Opposite sides equal/parallel → Parallelogram.
• Figure B: Opposite sides equal/parallel (square) → Parallelogram.
• Figure C: Opposite sides equal/parallel (rectangle) → Parallelogram.

Answer:

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