Question

O GEOMETRY Identifying parallelograms, rectangles, and squares Answer the questions about the figures below. 6 in Figure A 6 in 4 in 6 in 5 in (a) Which figures are rectangles? Mark all that apply. Figure A Figure B (b) Which figures are parallelograms? Mark all that apply. Figure A Figure B (c) Which figures are squares? Mark all that apply. Figure A Figure B Figure C Figure C O Figure C Figure B 5 in 5 in ☐ L 5 in None of the figures None of the figures O None of the figures 4 in P Figure C X 6 in 6 in 1 4 in ? W

Answer 1

Given:

Required:

We need to find parallelograms, rectangles, and squares.

Step-by-step explanation:

a)

We know that a rectangle is a four-sided polygon in which the opposite sides are parallel and equal to each other and four angles are right angles or equal to 90 degrees.

In figure A, four angles are not 90 degrees.

Figure A is not a rectangle.

In figure B, the opposite sides are parallel and equal to each other by 5 in and four angles are right angles.

Figure B is a rectangle.

In figure C, the opposite sides are parallel and equal to each other by 6 in and 4 in. Four angles are right angles.

Figure C is a rectangle.

b)

We know that the opposite sides of the parallelogram are parallel to each other.

In figure A, the sides are not parallel to each other

The top and bottom sides are parallel but the right and left sides are not parallel.

Figure A is not a parallelogram.

In figure B, the sides are parallel to each other

The top and bottom sides are parallel and the right and left sides are parallel.

Figure B is a parallelogram.

In figure C, the sides are parallel to each other

The top and bottom sides are parallel and the right and left sides are parallel.

Figure C is a parallelogram.

C)

We know that a square has four equal sides and four right angles.

In figure A, the four sides are not equal and the four angles are not right angles.

Figure A is not a square.

In figure B, the four sides are equal and the four angles are right angles.

Figure B is a square.

In figure C, the four angles are right angles but the four sides are not equal.

Figure C is not a square.

Final answer:

a)