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Section 7 Triangles Review

Total questions: 31

Worksheet time: 1hrs 8mins

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.
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
7.
Given the perimeter of ΔABC is 96. What is the value of x?
a)
96
b)
5
c)
48
d)
5.67
8.
If x=5, what is the value of segment YC.
a)
17
b)
10
c)
8
d)
8.5
9.
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
10.
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
11.
The diagram has the medians of ∆KJL shown. If KG = 40, what is the value of CG?
a)
13.33
b)
26.67
c)
20
d)
80
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.
Find the circumcenter of ∆ABC with the given coordinates.
a)
(3,5)
b)
(-3,-4)
c)
(-3,-4.5)
d)
(3,4.5)
16.
What is the intersection of the altitudes of ∆ABC?
a)
(-2,-2)
b)
(0,0)
c)
(-2,-3)
d)
(-2,0)
17.
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.
18.
Find the length of the midsegment.
a)
10
b)
24
c)
84
d)
42
19.
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
20.
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
21.
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
22.
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
23.
Given ∆ABC∼∆AED and AD=7.5. What is the length of DC?
a)
2.5
b)
10
c)
17.5
d)
3
24.
Given that ∆ABC∼∆DEF. What is the value of x?
a)
2
b)
1
c)
4
d)
20
25.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
26.

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

27.

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

28.

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

29.

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

30.

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

31.

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

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