Question

answer the questions about the figures below.
figure a
figure b
figure c
(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) Determine which figures are rectangles

• Definition of a rectangle: A rectangle is a parallelogram with four right - angles.
• Figure A: It is a parallelogram but does not have four right - angles.
• Figure B: It is a parallelogram with four right - angles.
• Figure C: It is a parallelogram with four right - angles (a special case of a rectangle where length = width).

(b) Determine which figures are parallelograms

• Definition of a parallelogram: A quadrilateral with two pairs of parallel sides.
• Figure A: Has two pairs of parallel sides.
• Figure B: Has two pairs of parallel sides.
• Figure C: Has two pairs of parallel sides.

(c) Determine which figures are squares

• Definition of a square: A square is a rectangle with all sides equal.
• Figure A: Sides are \(2\) ft and \(4\) ft (not equal).
• Figure B: Sides are \(2\) ft and \(3\) ft (not equal).
• Figure C: All sides are \(2\) ft and has four right - angles.

Answer:

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