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Chapter 5 Review: Relationships within Triangles

Total questions: 17

Worksheet time: 53mins

Name
Class
Date
1.

Which of the following segments represents a perpendicular bisector?

a)

BX

b)

AZ

c)

AC

d)

BZ

2.

Which of these is an angle bisector?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

3.

Which of these is a median?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

4.

Which of these is a perpendicular bisector?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ

5.

If segment YW is an angle bisector, which statement is true?

a)

∠YWZ is a right angle

b)

∠XYW ≅ ∠ZYW

c)

XW = WZ

d)

XY = ZY

6.

If segment YW is a median, which statement is true?

a)

∠YWZ is a right angle

b)

∠XYW ≅ ∠ZYW

c)

XW = WZ

d)

XY = ZY

7.

If segment YW is an altitude (perpendicular bisector), which statement is true?

a)

∠YWZ is a right angle

b)

∠XYW ≅ ∠ZYW

c)

XW = WZ

d)

XY = ZY

8.

Which side is the longest in △ABC?

a)

AB

b)

BC

c)

AC

d)

Cannot tell.

9.

Name the angle with the greatest measure in △DEF.

a)

∠D

b)

∠E

c)

∠F

d)

Cannot tell

10.

Find the value of x.

a)

9

b)

27

c)

11

d)

32

11.

Find the value of ST.

a)

12

b)

24

c)

23

d)

18

12.

Which of the following sets of numbers can be the lengths of the sides of a triangle?

a)

5, 6, 11

b)

2, 3, 7

c)

4, 8, 9

d)

7, 9, 18

13.

What is the relationship between the lengths of 𝑄𝑆 and 𝑅𝑆 ?

a)

QS = RS

b)

QS < RS

c)

QS > RS

d)

Cannot tell

14.

What is the relationship between DC and AD?

a)

DC = AD

b)

DC < AD

c)

DC > AD

d)

Cannot tell

15.

What is the relationship between the measures of ∠1 and ∠2?

a)

m∠1 = m∠2

b)

m∠1 > m∠2

c)

m∠1 < m∠2

d)

cannot tell

16.

Ralph wants to plant a garden in the widest corner of his triangular backyard. The backyard is bordered by the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure? (Hint: Draw a picture.)

a)

All three corners have the same measurement.

b)

The corner between fences A and B.

c)

The corner between the back of the house and fence A.

d)

The corner between the back of the house and fence B.

17.

Which of these is an altitude?

a)

segment KI

b)

ray GL

c)

line JM

d)

line HJ