Quadrilateral Word Problems: Geometry Review Sheet With Answers Page 2
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6Sample Questions:
1) In the diagram below of parallelogram
with diagonals
and
, the
and the
.
What is the measure of <2?
(1) 57
(2) 23
(3) 37
(4) 60
2) The diagram below shows isosceles trapezoid ABCD with
and
. If
and
, what is the value of ? What is the length of
?
3) In rectangle
, the length of diagonal
is represented by
and the length of diagonal
is
represented by
. Find b and the length of
.
4) In rectangle
, the diagonals intersect at . The length of
is represented as
and the length of
is represented as
. Find the value of
and
.
5) In rhombus
, the length, in inches of
is
and
is
. Find the number of inches in length of
.
6) In the following diagram of isosceles trapezoid
,
. Find the measure of all of the remaining
angles.
7) Given parallelogram
, diagonals
and
intersect at point . If the length of
is represented as
and the length of
is represented as
, then what is the measure of
?
8) In parallelogram
, the measure of
exceeds the measure of
by 28 degrees. Find the degree
measure of
and
.
9) In square
, the
. What is the value of ?
10) One angle of a parallelogram is 12 less than 5 times the measure of the adjacent angle. What are the measures
of these angles?
11) A square has a perimeter of 36 inches. Find the length of the diagonal in simplest radical form.
12) The lengths of the diagonals of a rhombus are 14 and 16. Find the measure of the length of the side of a
rhombus.
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