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Section 6 Review - Triangle Similarity

Total questions: 38

Worksheet time: 1hrs 27mins

Name
Class
Date
1.
O is the centroid, find the length of the median XP.
a)
63
b)
-77
c)
14
d)
-14
2.
Can a triangle have the sides with the given lengths?
7 in., 7 in., 14 in.
a)
Yes
b)
No
3.
Can a triangle have the sides with the given lengths?
5 in., 7in., 11in.
a)
Yes
b)
No
4.
Can a triangle have the sides with the given lengths?
√2in, √5in, √15in
a)
Yes
b)
No
5.
Can a triangle have the sides with the given lengths?
2.5 in, 8.2 in., 10.3 in.
a)
Yes
b)
No
6.
Can a triangle have the sides with the given lengths?
2.5 in, 8.2 in., 10.3 in.
a)
Yes
b)
No
7.
The measures of two sides of a triangle are 12 feet and 21 feet.  If the measure of the third side is x feet, find the range for the value of x.
a)
  12<x<21
b)
-9<x<33
c)
21<x<12
d)
9<x<33
8.
Given the perimeter of ΔABC is 96. What is the value of x?
a)
96
b)
5
c)
48
d)
5.67
9.
If x=5, what is the value of segment YC.
a)
17
b)
10
c)
8
d)
8.5
10.
ΔABC is made up of the following angle measurements: m∠A=100, m∠B=20, and m∠C=60. Which of the following choices places the sides of the triangle in order from smallest to largest.
a)
AB. BC, AC
b)
BC, AB, AC
c)
AC, BC, AB
d)
AC, AB, BC
11.
ΔABC is made up of the following side measurements: AB=3, BC=4, and CA=5. Which of the following choices places the angles of the triangle in order from smallest to largest.
a)
∠A,∠B,∠C
b)
∠C,∠A,∠B
c)
∠B,∠A,∠C
d)
∠C,∠B,∠A
12.
The diagram has the medians of ∆KJL shown. If CL=16, what is the value of FC?
a)
32
b)
5.33
c)
8
d)
10.67
13.
The vertices of ∆ABC are A(-2, 4), B(0, 8), and C(-5, 6). What type of triangle is ∆ABC?
a)
Scalene
b)
Isosceles
c)
Equilateral
d)
Right
14.
Given ∆ABC, what is the radius of the circumscribed circle?
a)
4
b)
8
c)
28
d)
12
15.
Determine the height of the tree. The diagram is not drawn to scale.
a)
150 ft.
b)
37.5 ft.
c)
75 ft.
d)
35.5 ft.
16.
Find the length of the midsegment.
a)
10
b)
24
c)
84
d)
42
17.
Which Theorem proves the two triangles are similar when Given: 28/24=100/25 and ∠B≅∠L.
a)
AA Similarity
b)
SAS Similarity
c)
SSS Similarity
d)
Not Similar
18.
Which Theorem proves the two triangles are similar when Given: 24/96=25/100 and ∠C≅∠J.
a)
AA Similarity
b)
SAS Similarity
c)
SSS Similarity
d)
Not Similar
19.
Which Theorem proves the two triangles are similar when Given: ∠B≅∠L and ∠A≅∠K.
a)
AA Similarity
b)
SAS Similarity
c)
SSS Similarity
d)
Not Similar
20.
Which Theorem proves the two triangles are similar when Given: 28/7=96/24=100/25
a)
AA Similarity
b)
SAS Similarity
c)
SSS Similarity
d)
Not Similar
21.
Given ∆ABC∼∆AED and AD=7.5. What is the length of DC?
a)
2.5
b)
10
c)
17.5
d)
3
22.
Given that ∆ABC∼∆DEF. What is the value of x?
a)
2
b)
1
c)
4
d)
20
23.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
24.

Before rock climbing, Saniya, who is 6.1 ft. tall, wants to know how high she will climb. She places a mirror on the ground and walks 12 feet backwards until she can see the top of the cliff in the mirror. How high will she climb?

a)

1.3 feet

b)

28.5 feet

c)

110.2 feet

d)

74.1 feet

25.

ΔABC has lengths AB=10, BC=12, and AC=6. List the angles from smallest to largest.

a)

∠A, ∠B, ∠C

b)

∠B, ∠A, ∠C

c)

∠A, ∠C, ∠B

d)

∠B, ∠C, ∠A

26.

Given the triangle below, fill in the blanks with Given the triangle below, fill in the blanks with <,>,or =. m∠ABD____m∠BAD.

a)

<

b)

>

c)

=

d)

not enough info

27.

Given the triangle below, fill in the blanks with Given the triangle below, fill in the blanks with <,>,or =. m∠CBD____m∠BCD.

a)

<

b)

>

c)

=

d)

not enough info

28.

What point of currency and special segment is used in the scenario: Elli is drawing a circumscribed circle around a triangle for her new t-shirt design.

a)

circumcenter and perpendicular bisector

b)

circumcenter and angle bisector

c)

incenter and perpendicular bisector

d)

incenter and angle bisector

29.

What point of currency and special segment is used in the scenario: Tyler is standing inside a triangular garden and watering the garden within a circle inside the garden.

a)

circumcenter and perpendicular bisector

b)

circumcenter and angle bisector

c)

incenter and perpendicular bisector

d)

incenter and angle bisector

30.
What is the missing angle?
a)
95
b)
113
c)
35
d)
85
31.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
32.
Order the sides from least to greatest. 
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
33.
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 
34.
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 
35.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
36.
Which of the images represents the Incenter of a Triangle
a)
First
b)
Second
c)
Third
37.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
38.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral

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