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Topic 5 Review - Relationships in Triangles

Total questions: 15

Worksheet time: 22mins

Name
Class
Date
1.

If CF = 5, CD = 12, and EF = 5, what is the perimeter of triangle CDE?

a)

29

b)

30

c)

34

d)

36

2.

If  m∠XWY=20°, m∠XWZ=40°, and XY=16m\angle XWY=20\degree,\ m\angle XWZ=40\degree,\ and\ XY=16 , what is the value of YZ?

(a)  

3.

What is the value of FC?

a)

63

b)

4

c)

6

d)

9

4.

Which statement(s) about the figure MUST be true? Select ALL that apply.

a)

n = 7

b)

QS = 21

c)

SR = 27

d)

QR = 54

5.

In triangle JKL, what are PK and RJ?

a)

PK = 10, RJ = 6

b)

PK = 15, RJ = 9

c)

PK = 6, RJ = 10

d)

PK = 9, RJ = 15

6.

Part 1: M is the centroid of triangle DEF.


DK, EL, and FJ are ____.

a)

Altitudes

b)

Angle Bisectors

c)

Medians

d)

Perpendicular Bisectors

7.

Part 2: M is the centroid of triangle DEF.


What is EL?

a)

9

b)

4

c)

3

d)

12

8.

Part 3: M is the centroid of triangle DEF.


Which equation relates DM to MK?

a)

MK = 14DKMK\ =\ \frac{1}{4}DK

b)

MK=13DKMK=\frac{1}{3}DK

c)

MK=12DKMK=\frac{1}{2}DK

d)

MK=23DKMK=\frac{2}{3}DK

9.

part 1: What is the value of

 yy  ? Enter your answer in the box.



(a)  

10.

Part 2: What is the value of

 m∠DEFm\angle DEF  ? Enter your answer in the box.



(a)  

11.

Part 3: Which of the following describes GE? Check ALL that apply.

a)

Angle Bisector

b)

Median

c)

Perpendicular Bisector

d)

Altitude

12.

Which of the following statements is true? (Select ALL that apply)

a)

m∠K > m∠Jm\angle K\ >\ m\angle J

b)

∠J≅∠L\angle J\cong\angle L

c)

∠L≅∠K\angle L\cong\angle K

d)

This is an isosceles triangle

13.

Which of the following must be true? (Select ALL that apply)

a)

JL bisects IK

b)

Triangle IJK is equilateral

c)

JL is the perpendicular bisector of IK

d)

KL = 9

14.

What is the RADIUS of the inscribed circle of HJK?

a)

2

b)

6

c)

10

d)

22

15.

Which of the following shows the sides of triangle MNO from SHORTEST to LONGEST?

a)

MN, NO, MO

b)

NO, MN, MO

c)

MN, MO, NO

d)

MO, NO, MN