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Quadrilaterals Review
1.
Which statement is false?
1)
2)
3)
4)
2.
A builder is building a rectangular deck with dimensions of 16 feet by 30 feet. To ensure
that the sides form 90° angles, what should each diagonal measure?
1)
2)
3)
4)
3.
All parallelograms are quadrilaterals.
All rectangles are parallelograms.
All squares are rhombuses.
All rectangles are squares.
16 ft
30 ft
34 ft
46 ft
In the accompanying diagram of rectangle ABCD,
What is
1)
2)
3)
4)
4.
and
?
12
37
40
50
In rectangle ABCD,
and
. Find the length of
.
.
5.
As shown in the accompanying diagram, a rectangular gate has two diagonal
supports. If
, what is
?
6.
In rhombus ABCD, the measure, in inches, of
of inches in the length of
.
7.
Which quadrilateral has diagonals that always bisect its angles and also bisect each
other?
1)
2)
3)
4)
8.
and
is
. Find the number
rhombus
rectangle
parallelogram
isosceles trapezoid
The diagonals of a quadrilateral are congruent but do not bisect each other. This
quadrilateral is
1)
2)
3)
4)
9.
is
an isosceles trapezoid
a parallelogram
a rectangle
a rhombus
Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which
quadrilaterals must have perpendicular diagonals?
1)
2)
3)
4)
the rhombus, only
the rectangle and the square
the rhombus and the square
the rectangle, the rhombus, and the
square
10.
Which reason could be used to prove that a parallelogram is a rhombus?
1)
2)
3)
4)
11.
In rhombus ABCD, the diagonals
the length of ?
1)
2)
3)
4)
12.
Diagonals are congruent.
Opposite sides are parallel.
Diagonals are perpendicular.
Opposite angles are congruent.
and
7
10
13
17
In the diagram below of rhombus ABCD,
What is
1)
2)
3)
4)
intersect at E. If
40
45
50
80
?
.
and
, what is
13.
In the diagram below, MATH is a rhombus with diagonals
If
1)
2)
3)
4)
14.
, what is
and
.
?
12
78
84
156
In the diagram below, quadrilateral STAR is a rhombus with diagonals
intersecting at E.
,
,
,
,
,
. Find SR, RT, and
.
and
, and
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