Question

(a) which figures are rectangles?
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 squares?
mark all that apply.
figure a
figure b
figure c
none of the figures

Explanation:

(a)

• Definition of rectangle: A rectangle is a quadrilateral with four right - angles and opposite sides equal.
• Check Figure A: Figure A has four right - angles and all sides are equal (\(2\) cm). Since a square is a special case of a rectangle (a rectangle with all sides equal), Figure A is a rectangle.
• Check Figure B: Figure B has four right - angles and opposite sides equal (\(2\) cm and \(4\) cm). So, Figure B is a rectangle.
• Check Figure C: Figure C has no right - angles. So, it is not a rectangle.

(b)

• Definition of parallelogram: A parallelogram is a quadrilateral with opposite sides parallel and equal.
• Check Figure A: Figure A has opposite sides parallel and equal (all sides are \(2\) cm). So, Figure A is a parallelogram.
• Check Figure B: Figure B has opposite sides parallel and equal (\(2\) cm and \(4\) cm). So, Figure B is a parallelogram.
• Check Figure C: Figure C has opposite sides parallel and equal (\(2\) cm and \(4\) cm). So, Figure C is a parallelogram.

(c)

• Definition of square: A square is a quadrilateral with four right - angles and all sides equal.
• Check Figure A: Figure A has four right - angles and all sides equal (\(2\) cm). So, Figure A is a square.
• Check Figure B: Figure B has four right - angles but sides are \(2\) cm and \(4\) cm (not all equal). So, it is not a square.
• Check Figure C: Figure C has no right - angles. So, it is not a square.

Answer:

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