Chapter 6 Review of Quadrilateral Properties
Name ___________________________
Draw the quadrilateral family tree in the space below.
Using the family tree, answer the following statements with always, sometimes, or never.
1.
2.
3.
4.
5.
6.
7.
8.
A parallelogram is a square.
___________
A square is a rhombus.
___________
A rectangle is a parallelogram.
___________
A rhombus is a square.
___________
A rhombus is a rectangle. ___________
A square is a rectangle.
___________
An isosceles trapezoid is a rectangle. ___________
A trapezoid is an isosceles trapezoid. ___________
Answer the following statements with true or false.
9. Every square is a rhombus.
___________
10. Every rhombus is a square.
___________
11. Every rectangle is a square.
___________
12. Every square is a rectangle.
___________
13. All rhombi are parallelogram.
___________
14. Every parallelogram is a rectangle.
___________
15. Every quadrilateral is a parallelogram. ___________
16. If quadrilateral ABCD is a parallelogram, then lines AB and CD are parallel.___________
17. If both pairs of opposite angles in a quadrilateral are congruent, then the quadrilateral is a
parallelogram.
___________
18. If NMOP is a rectangle, then it is a parallelogram.
___________
19. You can prove that a quadrilateral is a rectangle by proving that the diagonals are
congruent.___________
20. If a quadrilateral is a rhombus or a square, then the diagonals are perpendicular.___________
21. A square has all of the characteristics of a parallelogram, a rectangle, a rhombus, and a
trapezoid.
___________
22. If a quadrilateral has four right angles, then it must be a rectangle. ___________
23. The legs of an isosceles trapezoid are congruent.
___________
24. The bases of an isosceles trapezoid are congruent. ___________
25. The median of a trapezoid is parallel to the bases of the trapezoid and its measure is half the
sum of the measure of the bases. ___________
26. If QUAD is a square, then it is also a parallelogram, a rectangle, a rhombus, and a trapezoid.
___________
27. The diagonals of a trapezoid are congruent. ___________
Using what you know about quadrilaterals, complete the following table by placing a check mark if the quadrilateral has the property.
Only mark the properties that are ALWAYS true for that figure.
Property
Diagonals bisect each other
Parallelogram
Rhombus
Rectangle
Square
X
X
X
X
X
X
Diagonals are congruent
Each diagonal bisects a pair of opposite
angles
Diagonals are perpendicular
Two pair of opposite angles are
congruent
One pair of opposite sides is congruent
Two pair of opposite sides are parallel
Two pair of opposite angles are
congruent
Consecutive angles are supplementary
Two pair of adjacent sides are congruent
& no opposite sides are congruent
Four congruent sides
Four right angles
One pair of opposite sides are parallel
X
X
X
X
X
X
X
Trapezoid
Isosceles
Trapezoid
Kite
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X