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Worksheets

Relationships Between Sides and Angles in a Triangle

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Use the information in the diagram to find x.

a)

0.2

b)

22

c)

2

d)

0.5

2.

The exterior angle of a triangle is greater than either _________ __________ angle.

a)

remote interior

b)

adjacent exterior

c)

related inverted

d)

bisected adjacent

3.

Use the information in the diagram to find x.

a)

8

b)

12

c)

20

d)

4

4.

Name the shortest side of Triangle ABC.

a)

AB

b)

BC

c)

AC

5.

Which of the following shows the relationship among the side lengths of the triangle?

a)

p < l < c

b)

l < c < p

c)

c < p < l

d)

p < c < l

6.

Click on ∠QRS\angle QRS

7.
a)
XZ
b)
XY
c)
ZX
d)
ZY
8.

Put the sides of the triangle in order from smallest to largest.

a)

TS, RT, RS

b)

TS, RS, RT

c)

RT, TS, RS

d)

RS, RT, TS

9.

Put the angles in order from smallest to largest.

a)

X, Y, Z

b)

Z, X, Y

c)

Y, X, Z

d)

Y, Z, X

10.

Three lighthouses are located around an ocean bay as shown. Determine which two lighthouses are farthest apart.

a)

2 and 3

b)

1 and 3

c)

1 and 2

d)

cannot be determined

11.

Name a perpendicular bisector in the picture.

a)
b)
c)
d)
12.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

13.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

14.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

15.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

16.

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

17.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

18.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

19.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

20.

Find the largest side in Δ BCD

a)

Segment BC

b)

Segment DB

c)

Segment DC

d)

Segment AB