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WorksheetsPolygons, Quadrilaterals and Right Triangles
Total questions: 54
Worksheet time: 5hrs 45mins
Name
Class
Date
1.
Name that shape.
a)
square
b)
square
rhombus
rhombus
c)
quadrilateral
parallelogram
rhombus
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
parallelogram
square
2.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
3.
Name that shape.
a)
quadrilateral, parallelogram, rectangle, rhombus, square
b)
square
c)
quadrilateral, parallelogram, square
d)
quadrilateral, parallelogram, rhombus, square
4.
Name that shape.
a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
5.
If a quadrilateral has 4 equal sides, then it is a square.
a)
TRUE
b)
FALSE
6.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides.
a)
TRUE
b)
FALSE
7.
Kate built a garden box with 4 sides. It has two sets of parallel sides. Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
8.
Find Angle 1, Angle 2, and Angle 3.
a)
Angle 1 = 45, Angle 2 = 45, Angle 3 = 135
b)
Angle 1 = 135, Angle 2 = 55, Angle 3 = 55
c)
Angle 1 = 55, Angle 2 = 55, Angle 3 = 125
d)
Angle 1 = 40, Angle 2 = 40, Angle 3 = 135
9.
Find the measure of the midsegment.
a)
21
b)
9
c)
4.5
d)
10.5
10.
Which of the following can NEVER have all 4 sides congruent?
a)
square
b)
rhombus
c)
rectangle
d)
trapezoid
11.
The sum of the exterior angles of a polygon are always ____ degrees.
a)
90
b)
180
c)
360
d)
depends on the number of sides
12.
Opposite angles of a parallelogram are ____________.
a)
Congruent
b)
Supplementary
c)
Complementary
d)
Alternate Interior Angles
13.
The diagonals of a parallelogram always ________.
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
14.
Sketch isosceles trapezoid CATS with legs CA and TS and base AT. Solve for x if CA = 5x - 4, AT = x - 3, TS = 3x + 8.
a)
x = 1/4
b)
x = -11/2
c)
x = 6
d)
cannot be determined
15.
Find the midsegment of a trapezoid given base lengths of 2 and 32.
a)
15
b)
16
c)
17
d)
34
16.
Given Quadrilateral WXYZ with coordinates W(-3, -3), X(1, -6), Y(5, -3) and Z(1, 0). Graph. Compute the slopes and use distance formula to determine the most precise name for this figure.
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Square
17.
Find the measure of one interior angle in this polygon.
a)
147.3
b)
150
c)
144
d)
yellow
18.
What is the measure of one exterior angle?
a)
120
b)
60
c)
90
d)
72
19.
Parallelogram ABCD has coordinates A(1, 5), B(6, 3), C(3, -1) and D(-2, 1). What are the coordinates of E, the intersection of diagonals AC and BD?
a)
(2, 2)
b)
(4.5, 1)
c)
(3.5, 2)
d)
(-1, 3)
20.
In the diagram, LATE is an isosceles trapezoid with LE≅AT . LA = 24, ET = 40, and AT=10. What is the length of LF?
a)
6
b)
8
c)
3
d)
4
21.
Find the perimeter of the kite.
a)
23.1
b)
13.9
c)
74
d)
41
22.
How many sides does a polygon have with an exterior angle of 30 degrees?
a)
20
b)
150
c)
12
d)
10
23.
What is the sum of the interior for a 24-agon
a)
3960
b)
360
c)
15
d)
4280
24.
What is the formula for the sum of the exterior angles in a polygon?
a)
S=360
b)
S=180(n-2)
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
25.
What is the formula for the sum of the interior angles in a polygon?
a)
S=360
b)
S=180(n-2)
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
26.
How many sides does Dodecagon have?
a)
12
b)
3
c)
5
d)
10
27.
How many sides does a nonagon have?
a)
3
b)
4
c)
6
d)
9
28.
a)
A
b)
B
c)
C
d)
D
29.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
30.
In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x.
a)
15
b)
20
c)
30
d)
130
31.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
32.
Two tangents of a circle that meet outside of the circle at one point are _________.
a)
congruent
b)
perpendicular
c)
the same
d)
impossible
33.
The tangent is ________ to the radius of a circle at the point of tangency.
a)
intersecting
b)
next
c)
perpendicular
d)
parallel
34.
In a circle, the perpendicular bisector of a chord:
a)
is tangent to the circle
b)
is the diameter
c)
is a right triangle
d)
is nonexistent
35.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
d)
8 feet
36.
Determine whether the triangles are similar(name the postulate or theorem you used).
a)
SSS similar
b)
AA similar
c)
SAS similar
d)
Not similar
37.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
38.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
39.
Are these triangles similar?
a)
No
b)
Yes by SSS∼
c)
Yes by AA∼
d)
Yes by SAS∼
40.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question. The angles change unpredictably.
d)
The angles all change to larger angles.
41.
How many pairs of congruent angles in 2 triangles are needed to prove the 2 triangles are similar?
a)
2 or 3
b)
1
c)
0
d)
only 3
42.
Use special right triangles to find the value of x
a)
10
b)
40
c)
10√3
d)
10√2
43.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
44.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
45.
What is the value of y?
a)
2
b)
√3
c)
4
d)
√5
46.
What is the value of x?
a)
√3
b)
3
c)
√20=2√5
d)
6
47.
Find Tan A
a)
21/20
b)
29/20
c)
21/29
d)
20/21
48.
Find Cos A
a)
21/20
b)
29/20
c)
21/29
d)
20/29
49.
Find Sin C
a)
21/20
b)
20/29
c)
21/29
d)
20/21
50.
Tan C
a)
27/45
b)
36/27
c)
36/45
d)
27/36
51.
Cos C
a)
27/45
b)
36/27
c)
36/45
d)
27/36
52.
Use trig ratios (SOH CAH TOA) to solve for x
a)
12.1
b)
7.2
c)
6.0
d)
8.9
53.
Use trig ratios (SOH CAH TOA) to solve for x
a)
5.0
b)
6.1
c)
7.7
d)
6.4
54.
Use trig ratios (SOH CAH TOA) to solve for x
a)
10
b)
11.3
c)
12.0
d)
15.0
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