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Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.

(a) Describe a property of squares that is also a property of rectangles.
(b) Describe a property of squares that is NOT necessarily a property of all rectangles.
(c) Describe a property of rhombi that is also a property of squares.
(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.
(e) Describe a property that applies to ALL parallelograms.

2 Answers

4 votes

Final answer:

Squares and rhombi have certain properties in common with other quadrilaterals, but also have unique properties.

Step-by-step explanation:

Squares and Rectangles:

Property of squares: Squares have four right angles, which is also a property of rectangles.

Property of squares: Squares have four congruent sides, which is NOT necessarily a property of all rectangles.

Squares and Rhombi:

Property of rhombi: Rhombi have four congruent sides, which is also a property of squares.

Property of rhombi: Rhombi have diagonals that are perpendicular to each other, which is NOT necessarily a property of all parallelograms.

Property of all parallelograms:

Property: Opposite sides are parallel and congruent.

User Feldur
by
6.5k points
10 votes

Answer:

A. they both have 4 right angles

B. a sqaure has 4 even sides, a rectangle doesnt

c. they both have 4 even sides

d. rhombi has 2 acute and 2 obtuse angles

e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.

User Rotareti
by
7.3k points
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