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Worksheets

Relationships within Triangles

Total questions: 46

Worksheet time: 4hrs 17mins

Name
Class
Date
1.
Name a segment that has twice the length of segment EC
a)
segment BC
b)
segment BE
c)
segment AC
d)
segment BD
2.
Name a segment that has twice the length of segment EC
a)
segment BC
b)
segment BE
c)
segment AC
d)
segment BD
3.
Find the coordinates to G.
a)
2
b)
(2, 0)
c)
(0, 2)
d)
(0, 0)
4.
Find the slope of segment DF.
a)
1
b)
2
c)
0
d)
undefined
5.
If two segments have the same slope, then they are parallel.  Are segments DF and GH parallel?
a)
yes
b)
no
6.
Which of the following could represent the missing coordinates of P in rectangle KPWA?
a)
(0, c)
b)
(x, y)
c)
(x, c)
d)
(c, c)
7.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
8.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
9.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
10.
What is the special segment SU called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
11.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
12.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Altitude-point
13.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
14.
AD = 12. Find AG
a)
6
b)
8
c)
18
d)
12
15.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
16.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
17.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
18.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

19.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

20.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

21.
a)

Perpendicular Bisector

b)

Median

c)

Angle Bisector

d)

Altitude

22.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
23.

Find the value of x.

a)

2

b)

6

c)

8

d)

4

24.

Use the information in the diagram to find x.

a)

10

b)

25

c)

15

d)

35

25.

In ΔABC, Q is the centroid. Find CL.

a)

3

b)

6

c)

9

d)

2

26.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

27.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

28.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.
a)
30
b)
15
c)
5
d)
7.5
29.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

6

c)

8

d)

Not Enough Information

30.

The segment that connects the midpoints of two sides of a triangle is the _________.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

31.

A line that is perpendicular to a segment at its midpoint is called a ____________.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

32.

A point is ________ from two figures if the point is the same distance from each figure.

a)

equidistant

b)

concurrent

c)

perpendicular

d)

bisected

33.

The intersection of two or more lines is the ____________.

a)

point of concurrency

b)

bisector

c)

midsegment

d)

perpendicular bisector

34.

The point of concurrency of the three perpendicular bisectors of a triangle is called the __________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

35.

The point of concurrency of the three angle bisectors of a triangle is called the ___________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

36.

The segment that connects a vertex to the midpoint of the opposite side of a triangle is the ________.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

37.

The point of concurrency of the three medians of a triangle is called the __________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

38.

The segment that is from a vertex to the opposite side of a triangle and is perpendicular to that side is the _____.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

39.

The point of concurrency of the three altitudes of a triangle is called the _____.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

40.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
41.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
42.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
43.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
44.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

45.
The first step of an indirect proof is to ____?
a)
write the given
b)
assume the negation of the given
c)
assume the negation of what you are trying to prove
d)
contradict the given
46.
What assumption would you make to start the indirect proof of AB≅BC?
a)
AB≠BC
b)
BA≅CB
c)
B is the midpoint of AC
d)
B is the perpendicular bisector oa AC

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