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QUADRILATERAL RELATIONSHIPS
Use. these. words in this diagram.
(1)
Isosceles trapezoids
Kites
Parallelograms
Quadri laterals
Rectangles
Rhombuses
Squares
Trapezoids
(2)
(5)
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Tell whether the statement is true always, sometimes, or never. If your answer is sometimes or never,
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_~A~__ Each diagonal of
0.
square divides the square into two isosceles
triangles.
10.
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11. __
..::5:....-_If two co~ruent
Each diagonal of a rectangle
isosceles triangles.
divides the rectangle
isosceles triangles have
their other sides from a rhombus.
0
into two
-
common side, then
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12. __
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.1f two congruent equilateral triangles
their other sides form a rhombus.
13.
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Each diagonal of a rhombus divides the rhombus into two . /-+-J
isosceles triangles.
14.
have a common side, then
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_---.:S~__ .If two right
triangles
form a rectangle.
15. __
have a common hypotenuse,
~S:...-_If the diagonals of a quadrilateral
quadrilateral is a rectangle.
are congruent,
then their legs
then the
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16.
17.
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7
If the diagonals of a 9uadrilateral
quadrilateral is a rhombus.
are perpendicular,
then the
_--:A~__ If each diagonal of a quadrilatergl
angles, then the quadrilateral
bisects a pair of opposite
is a rhombus.
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Answer true or false.
18.
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19.
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20.
_---!.... __
_
All squares are rhombi.
All rhombi are squares.
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All squares are rectangles.
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21. __
All rectangles are squares.
T
Some rectangles are squares.
23.
F
AIItrapezoids are parallelograms.
24.
f
All quadrilaterals are trapezoids.
25.
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All parallelograms are trapezoids.
26.
_F
All squares are trapezoids.
22._--=-_
27. _...:...F_· __
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28.
29. _~--\
All quadrilaterals are parallelograms.
Any rhombus with one right angle is a squarer
All rectangles are parallelograms.
30.
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Every rhombus is a trapezoid.
31.
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No trapezoids has a pair of congruent sides.
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33.
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32.
F_
34.
A parallelogram with four right angles is a square.
A parallelogram with adjacent sides of equal measure is called a rhombus.
---' '---~.... -,-.
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..
Opposite sides of all quadrilaterals are equal in length.
-\
Every parallelogram is a quadrilateral.
35. _--1_1.....-_
Some parallelograms are not squares.
36.~
37.
E
Every square is a trapezoid.
38. _---'\:.-_
Some quadrilaterals are neither trapezoids nor parallelograms.
39.
No trapezoids are rectangles.
40. ~
\
Some rectangles are rhombuses.
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