WorksheetsGeometry Topic 5 Review
Total questions: 72
Worksheet time: 2hrs 0mins
Name
Class
Date
1.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
3.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
4.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
5.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
6.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
7.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
8.
Two sides of a triangular tile measure 4 inches and 6 inches. The length of the third side is either 7 inches or 10 inches. Which length is the correct length for the third side?
a)
neither
b)
7 inches
c)
10 inches
d)
both, either 7 inches or 10 inches is correct
9.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}
d)
{7,8,1}
10.
Two sides of a triangle have lengths 7 and 10. What are the possible lengths of the third side?
a)
3 < x < 17
b)
7 < x < 10
c)
x > 3
d)
x < 17
11.
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
12.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Orthocenter
d)
Altitude
13.
The three altitudes of a triangle intersect at the___________________.
a)
orthocenter
b)
median
c)
centroid
d)
circumcenter
14.
When you construct the angle bisectors of a triangle, they are concurrent at the _________________ .
a)
centroid
b)
orthocenter
c)
circumcenter
d)
incenter
15.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
16.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
17.
Which of these is called the center of gravity.
a)
orthocenter
b)
incenter
c)
circumcenter
d)
centroid
18.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
19.
The image show which point of concurrency
a)
circumcenter
b)
centroid
c)
incenter
d)
orthocenter
20.
The circumcenter is _________________ in the triangle.
a)
always
b)
sometimes
c)
never
d)
definitely
21.
The circumcenter of a right triangle falls on the____________.
a)
vertex
b)
hypotenuse
c)
vertex
d)
side
22.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
23.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
24.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
25.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Midcenter
26.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
24
27.
If G is the centroid of triangle ABC and BF= 10. Find the length of FA.
a)
20
b)
10
c)
5
d)
25
28.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
48
29.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
30.
Find the length of segment AG.
a)
x=6
b)
x=3
c)
x=9
d)
x=18
31.
Find the length of segment AG.
a)
22
b)
11
c)
3
d)
66
32.
To construct a ____________, you draw a segment from the vertex, which is perpendicular to the opposite side.
a)
Median
b)
Perpendicular Bisector
c)
Altitude
d)
Angle Bisector
33.
Which one is the orthocenter?
a)
A
b)
B
c)
C
d)
D
34.
Find x if LI = 3x + 9 and IA=15
a)
x = 6
b)
x = 30
c)
x = 45
d)
x = 7
35.
If segment EB = 18, what is the length of EG?
a)
18
b)
6
c)
12
d)
9
36.
Solve for x if AE is 2x+5 and GE is 3.
a)
x = 3
b)
x = 2
c)
x = 7
d)
x = 1.6
37.
Find x if GD = x +6 and AG = 4x-2.
a)
x = 6
b)
x = 12
c)
x = 4
d)
x = 7
38.
Which point of concurrency is this?
a)
Circumcenter
b)
Orthocenter
c)
Incenter
d)
Centroid
39.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point of the three perpendicular bisectors of a triangle
b)
when a circle passes through the three vertices of a triangle
c)
the point of intersection of three or more lines
d)
the intersection point of the three angle bisectors of a triangle
40.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle
b)
when three or more lines intersect at a single point
c)
the intersection point of the three perpendicular bisectors of a triangle
d)
the point of intersection of three or more lines
41.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
42.
Name the point of concurrency shown.
a)
circumcenter
b)
incenter
c)
centroid
d)
orthocenter
43.
Name the point of concurrency shown.
a)
circumcenter
b)
incenter
c)
centroid
d)
orthocenter
44.
Name the point of concurrency shown.
a)
circumcenter
b)
incenter
c)
centroid
d)
orthocenter
45.
Which of the following is a possible length for segment AC
a)
10
b)
15
c)
17
d)
9
46.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
47.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
48.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
49.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to
d)
Half of
50.
Compare measure of angle Y and measure of angle M.
a)
measure of angle Y = measure of angle M
b)
measure of angle Y > measure of angle M
c)
measure of angle Y < measure of angle M
d)
Not enough information is given.
51.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
52.
What is the measure of angle 2?
a)
50
b)
65
c)
115
53.
Solve for x.
a)
-8
b)
-10
c)
11
d)
10
54.
8
a)
A
b)
B
c)
C
d)
D
55.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
56.
Find m<A.
a)
12
b)
24
c)
132
d)
36
57.
Find the measure of∠B.
a)
90
b)
45
c)
180
d)
135
58.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
59.
What is the range of values the third side of the triangle could be?
a)
A
b)
B
c)
C
d)
D
60.
13. Given: △RST and RS = 14 in., ST = 10 in., TR = 16 in.
List the interior angles of △RST in order from smallest to largest.
List the interior angles of △RST in order from smallest to largest.
a)
R, S, T
b)
S, T, R
c)
R, T, S
d)
T, S, R
61.
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.
62.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
63.
Which Theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?
a)
Triangle Inequality Theorem
b)
Quadrilateral Inequality Theorem
c)
Theorum Inequality Theorem
d)
Triangle Equality Theorem
64.
1. Which of the following angle relationships in A △ABC are correct? Select all that apply
a)
m∠A < m∠C
b)
m∠B = m∠C
c)
m∠A < m∠B
d)
m∠B < m∠A < m∠C
65.
If RU = 16, UT = 20, and SR = 16, what is the perimeter of △SUT?
a)
48 units
b)
52 units
c)
72 units
d)
76 units
66.
If SV = 38, SU = 26, and the perimeter of △SUV is 102, what is the value of RU?
a)
13 units
b)
19 units
c)
26 units
d)
72 units
67.
If SV ≅ UV , SR = 4x − 1 and
RU = x + 8, what is the value of SU?
a)
3 units
b)
22 units
c)
11 units
d)
6 units
68.
Find the m∠DEF.
a)
7
b)
13
c)
25
d)
50
69.
What is the slope of a line perpendicular to y=3/4x+5?
a)
-3/4
b)
1/5
c)
4/3
d)
-4/3
70.
What is the slope of a line through points (-2,3) and (6,1)?
a)
-1/4
b)
4
c)
-4
d)
1/4
71.
What is the equation of a line through points (-3,7) and (2,5)?
a)
y = - 5/2x + 5 4/5
b)
y = -2/5x + 5 4/5
c)
y = -5/2(x - 2) + 2
d)
y = 5/2(x + 2) - 2
72.
Which of the following are true of segment AB given a(9,5) and B(15,2)? Select all that apply.
a)
The midpoint is (12,3.5)
b)
The slope of the perpendicular bisector is -1/2.
c)
The slope of the perpendicular bisector is 2.
d)
The slope of the segment is -1/2
e)
The distance from the endpoints of the segment to any point on the perpendicular bisector are equal.
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