WorksheetsGEO Semester 2 Final Review
Total questions: 86
Worksheet time: 5hrs 10mins
Name
Class
Date
1.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
2.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
3.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
4.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
5.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
3
6.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
7.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
0
b)
6
c)
5
d)
9
8.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
9.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
10.
The diagonals of an isosceles trapezoid are congruent.
a)
True
b)
False
11.
Find the missing angle.
a)
100
b)
70
c)
None of these
d)
120
12.
A kite is a quadrilateral with exactly two pairs of consecutive congruent _________.
a)
Angles
b)
Sides
c)
Diagonals
d)
Vertices
13.
The diagonals in a kite __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
14.
What is the measure of angle 1?
a)
48
b)
101
c)
105.5
d)
360
15.
What is x?
a)
35
b)
45
c)
55
d)
90
16.
What is the value of x in the illustration?
a)
3
b)
4
c)
5
d)
6
17.
A quadrilateral with all congruent sides would best be described as a -?-
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
18.
A quadrilateral with all congruent angles would best be described as a -?-
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
19.
Diagonals are congruent in all -?-
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
20.
Diagonals are perpendicular in all -?-
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
21.
BCDE is square. Find BD.
a)
40
b)
90
c)
80
d)
20
22.
BCDE is square. Find m∠BFC
a)
45
b)
90
c)
180
d)
40
23.
Find v.
a)
81
b)
4
c)
27
d)
90
24.
Diagonals of a parallelogram are perpendicular.
a)
always true
b)
sometimes true
c)
never true
25.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
26.
What is the measure of angle 2?
a)
54
b)
108
c)
72
d)
36
27.
Find y.
a)
2
b)
4
c)
15
d)
10
28.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
29.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
30.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
31.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
32.
Find the measure of angle E.
a)
9
b)
97°
c)
48°
d)
79°
33.
Solve for x.
a)
100
b)
120
c)
125
d)
130
34.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
35.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
36.
The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
37.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
38.
If G is the circumcenter, what type of segments are drawn?
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
centroids
39.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
verticies
b)
sides
c)
center
d)
medsegment
40.
The incenter of a triangle is equidistant from the _________ of the triangle.
a)
midsegment
b)
center
c)
verticies
d)
sides
41.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
42.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
43.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
44.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
45.
What is the point of concurrency for altitudes?
a)
orthocenter
b)
median
c)
incenter
d)
circumcenter
46.
Point A is the incenter of ΔPQR . Find each measure of ∠YGA
a)
21
b)
32
c)
37
d)
53
47.
Find the measure of ∠MFZ
a)
10
b)
19
c)
21
d)
32 31
48.
Find x
a)
6
b)
-6
c)
2
d)
-2
49.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
50.
If G is the centroid of triangle ABC and BF= 10. Find the length of FA.
a)
20
b)
10
c)
5
d)
Not Enough Information
51.
Find the length of segment AG.
a)
x=6
b)
x=3
c)
x=9
d)
x=18
52.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
53.
If point P is the circumcenter, which segment is congruent to PB?
a)
DA
b)
AC
c)
PC
d)
PF
54.
Give the reason for similarity.
a)
AA
b)
SAS
c)
Not Similar
d)
AAS
55.
Give the reason for similarity
a)
AA
b)
Not Similar
c)
SAS
d)
SSS
56.
The triangles are similar. Solve for x.
a)
100
b)
1
c)
0.1
d)
10
57.
The triangles are similar. Solve for x.
a)
448
b)
88
c)
56
d)
0.8
58.
Are the triangles similar? If so, what similarity test is used?
a)
Similar. SSS
b)
Similar. SAS
c)
Similar. AA
d)
Not Similar.
59.
Are the triangles similar? If so, what similarity test is used?
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
60.
Write the similarity statement for the triangle pair
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
61.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
62.
Are the triangles similar?
a)
Yes
b)
No
63.
Are the triangles similar?
a)
Yes
b)
No
64.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
65.
Solve for x.
a)
21
b)
27/7
c)
13
d)
18
66.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
67.
The figures are similar. Solve for k.
a)
11.5
b)
14.5
c)
25.3
d)
37.1
68.
The triangles are similar. What is the value of X and Y ?
a)
X=2.5 and Y=6.5
b)
X=6.5 and Y=2.5
c)
X=3 and Y=7
d)
X=2 and Y= 5
69.
Determine whether the triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not Similar
70.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
71.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
72.
a)
10
b)
12
c)
14
d)
16
73.
a)
15
b)
16
c)
17
d)
18
74.
a)
8
b)
10
c)
12
d)
14
75.
a)
3
b)
5
c)
7
d)
9
76.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
77.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
w = 18 m
b)
w = 6 m
c)
6 m
d)
w = 0.16 m
78.
Find the scale factor.
a)
4:1
b)
1:3
c)
2:1
d)
7:3
79.
Solve for f.
a)
10
b)
14
c)
4
d)
9
80.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
81.
Are the triangles similar?
a)
Yes
b)
No
82.
Which set of lengths could form a triangle?
a)
3 in, 4 in, 7 in
b)
4 in, 4 in, 8 in
c)
5 in, 7 in, 9 in
d)
7 in, 9 in, 17 in
83.
Two sides of a triangle measure 14 cm and 6 cm. Which inequalities represent all possible lengths of the third side, X?
a)
8 < x < 20
b)
6 < x < 14
c)
5 < x < 13
d)
20 < x < 8
84.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
85.
Does the set of numbers represent a Pythagorean Triple (does it form a right triangle)?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
86.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
100 %
