Which statement must be true?. 1.) If a parallelogram is not a rectangle, then it is not a square. 2.) If a parallelogram is not a square, then it is not a rectangle. 3.) All rectangles are squares. 4.) If a parallelogram is a rectangle, then it is a square.

Question

Mathematics

Allyson Larsen

7 December, 10:19

Which statement must be true?. 1.) If a parallelogram is not a rectangle, then it is not a square. 2.) If a parallelogram is not a square, then it is not a rectangle. 3.) All rectangles are squares. 4.) If a parallelogram is a rectangle, then it is a square.

+3

Answers (1)

Know the Answer?

Cassidy · Answer 1

1) False. parallelogram is not a rectangle but a rectangle is considered a special case of a parallelogram

2) False : Quadrilaterals are four-sided polygons. All rectangles are quadrilaterals.

3.) False. All rectangles are not squares.

4) True. A square is a parallelogram with four congruent sides and four right angles.