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Worksheets

Relationships With Triangles

Total questions: 25

Worksheet time: 23mins

Name
Class
Date
1.

Name the shortest side of Triangle ABC.

a)

AB

b)

BC

c)

AC

2.

Name the longest side of Triangle ABC.

a)

AB

b)

BC

c)

AC

3.

Classify the following triangle by its angle measures.

a)

Right

b)

Obtuse

c)

Acute

d)

Equiangular

4.

Classify the following triangle by its sides

a)

Equilateral

b)

Isosceles

c)

Scalene

5.

In Triangle MON, identify the largest angle.

a)

Angle M

b)

Angle N

c)

Angle O

6.

Identify the smallest angle in Triangle MON.

a)

Angle M

b)

Angle O

c)

Angle N

7.

Remember, the sum of the 2 shortest sides should be greater than the remaining side!

a)

Yes

b)

No

c)

Maybe

d)

Perhaps

8.

Remember to find the minimum and maximum values for the two given sides!

a)

35 and 7

b)

21 and 7

c)

7 and 21

d)

7 and 35

9.

What postulate would prove these two triangles congruent?

a)

HL

b)

AAS

c)

ASA

d)

SAS

10.

What angle pair relationship proves that Angle TSN = Angle USH?

a)

Supplementary Angles

b)

Adjacent Angles

c)

Linear Pair

d)

Vertical Angles

11.

LK=LK by what algebraic property?

a)

Reflective

b)

Reflexive

c)

Symmetric

d)

Transitive

12.

What postulate would prove that Triangle LMK is congruent to Triangle LNK?

a)

AAS

b)

ASA

c)

AAA

d)

HL

13.

Angle G = Angle G by what algebraic property?

a)

Substitution

b)

Symmetric

c)

Reflexive

14.

Use Triangle GHJ , where A and C are midpoints of the sides. If AC = 5x - 3 and HJ = 4x + 12, then what is the value of x?

a)

3

b)

15

c)

19

d)

7

15.

Use Triangle GHJ , where A and C are midpoints of the sides. If AC = 5x - 3 and HJ = 4x + 12, then what is the value of HJ?

a)

12

b)

24

c)

42

d)

72

16.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

17.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

18.

Name the correct special segment.

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

19.
a)

Perpendicular Bisector

b)

Median

c)

Angle Bisector

d)

Altitude

20.

BD is a median of Triangle ABC . If AD = 7x - 6 and DC = 4x + 3, then find the value of x.

a)

14

b)

11

c)

2

d)

3

21.

BD is a median of Triangle ABC . If AD = 7x - 6 and DC = 4x + 3, then find the value of AC.

a)

15

b)

3

c)

30

d)

180

22.

Find the value of n.

a)

8/5

b)

24

c)

12

d)

4

23.

In Triangle ONM , OP is the altitude of MN . MN=34. If MP = 4x + 3and PN = 21 - 2x , then find the value of “x”

a)

3

b)

5

c)

6

d)

78

24.

In Triangle ONM , OP is the altitude of MN . MN=34. If MP = 4x + 3and PN = 21 - 2x , then find the value of PN

a)

11

b)

15

c)

34

d)

23

25.

If FH is a perpendicular bisector to DG, which statements are true? (There may be more than one correct answer)

a)

DH=HG

b)

DF=FE

c)

Angle DHF = Angle GHF

d)

Angle FHG = 90