Quiz about Triangle Inequalities

Question 1

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

Accepted Answer

No

Answer

Yes

Question 2

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

Accepted Answer

Yes

Answer

No

Question 3

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 4

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 5

List the side measures in order, shortest to longest.

Accepted Answer

MQ, MP, QP

Answer

QM, QP, MP

Answer

MP, MQ, QP

Question 6

Identify the longest side measure.

Accepted Answer

AC

Answer

BA

Answer

BC

Question 7

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

Accepted Answer

<math><semantics><mrow><mn>3</mn><mo><</mo><mi>x</mi><mo><</mo><mn>17</mn></mrow><annotation encoding="application/x-tex">3<x<17</annotation></semantics></math>3<x<17

Answer

<math><semantics><mrow><mn>5</mn><mo><</mo><mi>x</mi><mo><</mo><mn>16</mn></mrow><annotation encoding="application/x-tex">5<x<16</annotation></semantics></math>5<x<16

Answer

<math><semantics><mrow><mn>4</mn><mo><</mo><mi>x</mi><mo><</mo><mn>14</mn></mrow><annotation encoding="application/x-tex">4<x<14</annotation></semantics></math>4<x<14

Answer

<math><semantics><mrow><mn>4</mn><mo><</mo><mi>x</mi><mo><</mo><mn>17</mn></mrow><annotation encoding="application/x-tex">4<x<17</annotation></semantics></math>4<x<17

Question 8

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

Accepted Answer

<math><semantics><mrow><mn>4</mn><mo><</mo><mi>x</mi><mo><</mo><mn>20</mn></mrow><annotation encoding="application/x-tex">4<x<20</annotation></semantics></math>4<x<20

Answer

<math><semantics><mrow><mn>4</mn><mo><</mo><mi>x</mi><mo><</mo><mn>16</mn></mrow><annotation encoding="application/x-tex">4<x<16</annotation></semantics></math>4<x<16

Answer

<math><semantics><mrow><mn>5</mn><mo><</mo><mi>x</mi><mo><</mo><mn>20</mn></mrow><annotation encoding="application/x-tex">5<x<20</annotation></semantics></math>5<x<20

Answer

<math><semantics><mrow><mn>4</mn><mo><</mo><mi>x</mi><mo><</mo><mn>17</mn></mrow><annotation encoding="application/x-tex">4<x<17</annotation></semantics></math>4<x<17

Question 9

Identify the triangle by its sides and angles.

Accepted Answer

Obtuse Isosceles

Answer

Obtuse Equilateral

Answer

Isosceles

Answer

Acute Scalene

Question 10

Identify the triangle by its sides and angles

Accepted Answer

Right Scalene

Answer

Right Isosceles

Answer

Right Equilateral

Question 11

Identify the triangle by its sides and angles

Accepted Answer

Right Isosceles

Answer

Right Scalene

Answer

Obtuse Isosceles

Answer

Obtuse Scalene

Question 12

Identify the triangle by its sides and angles

Accepted Answer

Obtuse Scalene

Answer

Obtuse Isosceles

Answer

Obtuse Equilateral

Question 13

If two figures are similar, the corresponding sides are ______________.

Accepted Answer

proportional

Answer

equal

Answer

congruent

Answer

none of these

Question 14

Find the missing side using proportions.

Accepted Answer

b

Answer

a

Answer

c

Answer

d

Question 15

All angles between similar figures are congruent.

Accepted Answer

True

Answer

False

Question 16

Given that the two triangles are similar, which side is corresponding to PQ?

Accepted Answer

DE

Answer

EF

Answer

DF

Answer

FE

Question 17

Given the two triangles are similar, which side is corresponding to PR?

Accepted Answer

DF

Answer

DE

Answer

EF

Answer

FD

Question 18

Which side is corresponding to 7?

Accepted Answer

21

Answer

15

Answer

18

Answer

5

Question 19

Which side is corresponding to 18?

Accepted Answer

6

Answer

5

Answer

7

Answer

15

Question 20

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 21

Find missing side.

Accepted Answer

5

Answer

1/5

Answer

7

Answer

1/7

Question 22

What is the value of X?

Accepted Answer

X=2

Answer

X=4

Answer

X=6

Answer

X=3

Question 23

If two angles in a triangle are $$45\degree$$ and $$\ 75\degree$$ , what is the measure of the third angle?

Accepted Answer

$$60\degree$$

Answer

$$75\degree$$

Answer

$$90\degree$$

Answer

$$70\degree$$

Question 24

QR is a midsegment of triangle WUV. What is the length of segment QR?

Accepted Answer

8

Answer

4

Answer

16

Answer

32

Question 25

QR is a midsegment of triangle WXY. What is the length of segment WY?

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 26

Is DE parallel to BC?

Accepted Answer

Yes

Answer

No

Question 27

Is DE 1/2 the length of BC?

Accepted Answer

Yes

Answer

No

Question 28

Solve the proportion:

$$\frac{2}{7}=\frac{c}{28}$$

Accepted Answer

c = 8

Answer

c = 4

Answer

c = 14

Answer

c = 10

Question 29

Solve for x:

$$\frac{21}{x}=\frac{6}{8}$$

Accepted Answer

x = 28

Answer

x = 6

Answer

x = 25

Answer

x = 17

Question 30

Identify the longest side measure.

Accepted Answer

MQ

Answer

LM

Answer

LQ

Question 31

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 32

Question 32.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 33

In a triangle, how many total degrees are there?

Accepted Answer

180 degrees

Answer

100%

Answer

it varies

Answer

360 degrees

Question 34

If two 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 35

What is the value of the missing angle?

Accepted Answer

105

Answer

80

Answer

55

Answer

25

Question 36

Which statement best describes what a ratio is.

Accepted Answer

A comparison of two quantities using division.

Answer

A number

Answer

A comparison

Answer

A comparison of many things.

Question 37

What is the ratio of red apples to green apples?

Accepted Answer

4 to 3

Answer

7 to 3

Answer

4 to 7

Answer

3 to 4

Question 38

A ratio can be written in 3 ways. Which of the following is NOT how a ratio is written?

Accepted Answer

3=4

Answer

3 : 4

Answer

3 / 4

Answer

3 to 4

Question 39

Name the sides from SMALLEST to LARGEST

Accepted Answer

RT, RS, ST

Answer

RS, ST, TR

Answer

ST, RT, RS

Answer

RT, ST, RS

Question 40

Name the angles from SMALLEST to LARGEST

Accepted Answer

R, P, Q

Answer

Q, R, P

Answer

P, Q, R

Answer

R, Q, P

Question 41

Name the angles from LARGEST to SMALLEST

Accepted Answer

R, S, T

Answer

S, T, R

Answer

S, R, T

Answer

T, S, R

Question 42

Name the sides from LARGEST to SMALLEST

Accepted Answer

JH, KH, KJ

Answer

KJ, KH, JH

Answer

KH, KJ, JH

Answer

KH, JH, KJ

Question 43

Can a triangle be formed with side lengths:
4, 7, 10

Accepted Answer

yes

Answer

no

Answer

not enough information

Question 44

Can a triangle be formed with side lengths:
10, 12, 22

Accepted Answer

no

Answer

yes

Answer

not enough information

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