Quiz about Geometry Triangle Inequality Theorem

Question 1

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

Accepted Answer

4, 4, 4

Accepted Answer

5, 7, 11

Answer

5, 5, 10

Answer

3, 6, 9

Answer

13, 5, 6

Question 2

Which set of side lengths will form a triangle?

Accepted Answer

9, 9, 9

Answer

3, 6, 12

Answer

7, 7, 14

Answer

13, 6, 7

Question 3

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

Accepted Answer

more than 6 but less than 20

Answer

more than 20 but less than 6

Answer

less than 6 but more than 20

Question 4

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

Accepted Answer

more than 3 but less than 11

Answer

more than 11 but less than 3

Answer

less than 3 but more than 11

Question 5

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?

Accepted Answer

16 inches

Answer

5 inches

Answer

32 inches

Answer

29 inches

Question 6

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

Accepted Answer

no

Answer

yes

Question 7

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

Accepted Answer

yes

Answer

no

Question 8

Identify the shortest side measure.

Accepted Answer

QM

Answer

QP

Answer

MP

Question 9

List the side measures in order, shortest to longest.

Accepted Answer

MQ, MP, QP

Answer

QM, QP, MP

Answer

MP, MQ, QP

Question 10

Identify the longest side measure.

Accepted Answer

AC

Answer

BA

Answer

BC

Question 11

Identify the longest side measure.

Accepted Answer

MQ

Answer

LM

Answer

LQ

Question 12

Can the following side measures form a triangle?
3, 5, 8

Accepted Answer

No

Answer

Yes

Question 13

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

Accepted Answer

between 7 and 23

Answer

between 8 and 15

Answer

less than 7, greater than 23

Question 14

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

Accepted Answer

between 8 and 16

Answer

less than 4, greater than 12

Answer

between 4 and 12

Question 15

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

Accepted Answer

No

Answer

Yes

Question 16

9. Which of these lengths CANNOT represent the sides of a triangle?

Accepted Answer

28, 30, 58

Answer

32, 34, 60

Answer

13, 20, 27

Answer

2, 4, 5

Question 17

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

Accepted Answer

Yes

Answer

No

Question 18

Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

Accepted Answer

No

Answer

Yes

Question 19

Could a triangle with these side lengths exist?
33, 16, 17

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 20

If the given side lengths of a triangle are 16 and 10 which can NOT be the third side?

Accepted Answer

27

Answer

25

Answer

22

Answer

21

Question 21

How many degrees make up a triangle?

Accepted Answer

180

Answer

45

Answer

90

Answer

60

Question 22

Which set of numbers may represent the lengths of the sides of a triangle?

Accepted Answer

{6,6,7}

Answer

{2,5,9}

Answer

{6,4,2}

Answer

{7,8,1}

Question 23

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

Accepted Answer

80

Answer

100

Answer

60

Answer

90

Question 24

Which of the following does not represent the lengths of the sides of a triangle?

Accepted Answer

3 cm, 10 cm, 15 cm

Answer

2 cm, 6 cm, 7 cm

Answer

5 cm, 2 cm, 5 cm

Answer

5 cm, 5 cm, 8 cm

Question 25

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 26

State if the three numbers can be measures of the sides of a triangle.
$$10,18,12$$

Accepted Answer

Answer

Question 27

State if the three numbers can be measures of the sides of a triangle.
$$8,10,20$$

Accepted Answer

Answer

Question 28

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$$10,7$$

Accepted Answer

Answer

Answer

Answer

Question 29

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$$12,12$$

Accepted Answer

Answer

Answer

Answer

Question 30

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$$8,12$$

Accepted Answer

Answer

Answer

Answer

Question 31

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
$$8,9$$

Accepted Answer

Answer

Answer

Answer

Question 32

Will these line segments form a triangle?

Accepted Answer

no

Answer

yes

Question 33

Determine whether the given measures can be the lengths of the sides of a triangle.

5.6, 10.1, 5.2

Accepted Answer

Yes

Answer

No

Question 34

Determine whether the given measures can be the lengths of the sides of a triangle.

1, 2, 3

Accepted Answer

No

Answer

Yes

Question 35

What is the " Triangle Inequality Theorem"?

Accepted Answer

The sum of the 2 Sides is > than the 3rd

Answer

The lengths of a triangles sides are all the same

Answer

An obtuse triangle

Answer

Something that you made up

Question 36

Does a triangle with these side lengths exist?
8.5, 6.5, 13.5

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 37

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

Accepted Answer

80

Answer

100

Answer

60

Answer

90

Question 38

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

Accepted Answer

greater than

Answer

less than

Answer

equal to

Question 39

Question 39.

Accepted Answer

WP, NP, WN

Answer

WN, NP, WP

Answer

NP, WN, WP

Answer

WP, WN, NP

Question 40

Question 40.

Accepted Answer

BC, AB, AC

Answer

BC, AC, AB

Answer

AB, AC, BC

Answer

AC, AB, BC

Question 41

What is a possible third side to a triangle with side lengths of 5 and 5?

Accepted Answer

9

Answer

10

Answer

11

Answer

12

Question 42

Order the sides from least to greatest.

Accepted Answer

DE, VE, DV

Answer

VE, DE, DV

Answer

DV, VE, DE

Answer

DE, DV, VE

Question 43

In triangle ABC the angles have the following measures:
mmmWhich lists the sides in order from longest to shortest?

Accepted Answer

AB, AC, BC

Answer

AC, BC, AB

Answer

AC, AB, BC

Answer

AB, BC, AC

Question 44

Order the sides from smallest to largest

Accepted Answer

AC, AB, BC

Answer

AB, AC, BC

Answer

BC, AC, AB

Answer

BC, AB, AC

Question 45

Order the sides from smallest to largest

Accepted Answer

AB, AC, BC

Answer

BC, AB, AC

Answer

AC, BC, AB

Answer

AB, BC, AC

Question 46

Order the sides from smallest to largest

Accepted Answer

AB, BC, AC

Answer

AB, AC, BC

Answer

BC, AC, AB

Answer

AC, AB, BC

Question 47

Order the sides from smallest to largest

Accepted Answer

AB, BC, AC

Answer

BC, AB, AC

Answer

BC, AC, AB

Answer

AB,AC, BC

Geometry Triangle Inequality Theorem

54 questions

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

Which set of side lengths will form a triangle?

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

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?

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

Identify the shortest side measure.

List the side measures in order, shortest to longest.

Identify the longest side measure.

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