Quiz about Inequalities in Triangles

Question 1

Does a triangle with these side lengths exist?
15, 12, 9

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 2

Can the sides of a triangle have lengths 3, 4, and 9?

Accepted Answer

No

Answer

Yes

Question 3

What is a possible third side to a triangle with side lengths of 13 and 4?

Accepted Answer

12

Answer

9

Answer

8

Answer

5

Question 4

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 5

The smallest angle would be located where in a triangle?

Accepted Answer

Across from the smallest side.

Answer

Across from the largest side

Answer

Cannot tell

Question 6

Where would the shortest side of a triangle be located?

Accepted Answer

Across from the smallest angle in the triangle.

Answer

Across from the largest angle in the triangle?

Answer

Cannot tell.

Question 7

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

Accepted Answer

5 < x < 29

Answer

12 < x < 17

Answer

12 < x < 29

Answer

5 < x < 17

Question 8

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 9

Any side of a triangle is greater than the sum of the other two.

Accepted Answer

Never

Answer

Always

Answer

Sometimes

Question 10

6

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

8

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 12

Select the correct answer

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 13

Select the correct answer

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

The first step of an indirect proof is to ____?

Accepted Answer

assume the negation of what you are trying to prove

Answer

write the given

Answer

assume the negation of the given

Answer

contradict the given

Question 15

Another name for the Hinge Theorem is ______?

Accepted Answer

SAS Inequality Theorem

Answer

SAS Theorem

Answer

SSS Theorem

Answer

ASA Theorem

Question 16

In a triangle, the longest side is across from the _________ angle.

Accepted Answer

greatest

Answer

smallest

Answer

middle

Question 17

Which of the following is a possible  length for segment AC

Accepted Answer

17

Answer

10

Answer

15

Answer

9

Question 18

Select the correct answer

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 19

Select the correct answer

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

Which Theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side?

Accepted Answer

Triangle Inequality Theorem

Answer

Triangle Sum Theorem

Answer

Hinge Theorem

Answer

Exterior Angle Inequality Theorem

Question 21

Which of the following relationships is true?

Accepted Answer

m<d > m<b

Answer

m<d > m<c

Answer

m<d < m<a

Answer

m<a < m<b

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