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Understanding Elementary Shapes_2

Total questions: 34

Worksheet time: 46mins

Name
Class
Date
1.

What is a disadvantage of comparing line segments by mere observation?

a)

A) Lack of precision in measurement

b)

B) Inability to visually assess length accurately

c)

C) Difficulty in converting observations into standardized units

d)

D) Limited applicability to certain types of line segments

2.

Which of the following statements best explains why a divider is often preferred over a ruler when measuring the length of a line segment?

a)

A. A divider is more precise because it eliminates errors caused by the thickness of the ruler and angular viewing.

b)

B. A divider is less expensive than a ruler.

c)

C. A divider is easier to use than a ruler.

d)

D. A divider is more versatile than a ruler.

3.

Consider a line segment AB, with a point C lying between A and B. The lengths of the segments are measured as follows: AB = 7 cm, AC = 3 cm, and CB = 4 cm. Is the equation AB = AC + CB satisfied?

a)

A) AB ≠ AC + CB

b)

B) AB = AC + CB

c)

C) AB > AC + CB

d)

D) Insufficient information to determine

4.

If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm, and AC = 8 cm, which one of them lies between the other two?

a)

A) A

b)

B) B

c)

C) C

d)

D) None; they are not collinear

5.

Find the midpoint

0 (a)   10

6.

Find the midpoint

10 (a)   20

7.

What is the length of
MN‾\overline{MN}  

a)

4

b)

8

c)

12

8.

What is the length of
MB‾\overline{MB}  

a)

4.5

b)

9

c)

18

9.

What is the length of
AB‾\overline{AB}  

a)

4.5

b)

9

c)

18

10.

C is the midpoint. What is the length of

AB‾\overline{AB}  

a)

5

b)

10

c)

Not enough information

11.

C is the midpoint. What is the length of

CB‾\overline{CB}  

a)

5

b)

10

c)

Not enough information

12.

What is the length of
AC‾\overline{AC}  

a)

12

b)

24

c)

6

13.

E is the midpoint of PT. What is the measure of 
ET‾\overline{ET}  ?

a)

16

b)

4

c)

8

d)

Not enough information

14.

E is the midpoint of PT. What is the measure of 
PE‾\overline{PE}  ?

a)

16

b)

4

c)

8

d)

Not enough information

15.

P is the midpoint of HS. What is the measure of 
HP‾\overline{HP}  ?

a)

11

b)

22

c)

Not enough information

16.

B is the midpoint of AC.
  BC‾\overline{BC}  = 3.5 
AB‾\overline{AB}  = ?

a)

3.5

b)

7

c)

10

d)

Not enough information

17.

B is the midpoint of AC.
  BC‾\overline{BC}  = 3.5 
AC‾\overline{AC}  = ?

a)

3.5

b)

7

c)

10

d)

Not enough information

18.

B is the midpoint of AC.
  BC‾\overline{BC}  = 3.5 
AB‾\overline{AB}  = ?

a)

3.5

b)

7

c)

10

d)

Not enough information

19.

E is the midpoint of PT. What is the measure of 
PE‾\overline{PE}  ?

a)

16

b)

4

c)

8

d)

Not enough information

20.
A point that divides, or bisects, a segment into two congruent segments is called a ___________________.
a)
midpoint
b)
congruent segment
c)
angle bisector
d)
endpoint
21.

Find PM and MQ, given that M is the midpoint of the segment.

a)

PM = 22, MQ = 22

b)

PM = 11, MQ = 22

c)

PM = 11, MQ = 11

d)

PM = 22, MQ = 11

22.

Point B is the midpoint of AC. Find the value of x.

(a)  

23.

If B is the midpoint of AC and C is the midpoint of BD, where A, B, C, D lie on a straight line, why does AB = CD?

a)

A) AB = BC + CD

b)


B) AB ≠ CD

c)


C) AB = CD

d)


D) AB = AC - BD

24.

If the sum of two sides is more than the third side then triangle cannot be formed.

a)

True

b)

False

25.

An equilateral triangle is also an acute angled triangle.

a)

True

b)

False

26.

8. The sum of the lengths of any two sides of a triangle is ——— than the third side.

A. greater than

B. less than

C. equal to

a)

A

b)

B

c)

C

27.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

28.

Will these three sides form a triangle?

a)

yes

b)

no

29.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

30.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
31.

Will these line segments form a triangle?

a)

yes

b)

no

32.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)
more than 3 but less than 11
b)
more than 11 but less than 3
c)
less than 3 but more than 11
33.
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?
a)
16 inches
b)
5 inches
c)
32 inches
d)
29 inches
34.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no