Live Education Quiz

1

What is the length of the median from vertex A in triangle ABC if the sides are AB = 6, AC = 8, and BC = 10?

A

5

B

7

C

6

D

4

2

What is the circumcenter of a triangle?

A

The point equidistant from all vertices

B

The point equidistant from all sides

C

The point where medians meet

D

The point where altitudes meet

3

Which tool is used to draw perpendicular bisectors in practical geometry?

A

Compass and ruler

B

Protractor only

C

Set square only

D

Divider

4

What is the median from a vertex to the opposite side?

A

A segment joining the vertex to the midpoint of the opposite side

B

A perpendicular from the vertex to the opposite side

C

A line bisecting the angle at the vertex

D

A line joining the midpoints of two sides

5

What is the perpendicular bisector of a segment?

A

A line perpendicular to the segment at its midpoint

B

A line parallel to the segment through its midpoint

C

A line that bisects the segment at any angle

D

A line perpendicular to the segment at any point

6

What is the probability of rolling an odd number on a fair die?

A

1/6

B

1/3

C

1/2

D

5/6

7

How many medians are needed to find the centroid of a triangle?

A

Two medians

B

One median

C

Three medians

D

All three medians

8

What is the distance from the vertex to the centroid compared to the median length?

A

2/3 of the median

B

1/3 of the median

C

1/2 of the median

D

3/4 of the median

9

The weights (in kg) of 5 students are 45, 50, 55, 60, 65. What is the mean weight?

A

50 kg

B

55 kg

C

60 kg

D

45 kg

10

Find the median of: 14, 16, 18, 20, 22, 24.

A

18

B

19

C

20

D

21

11

A bag contains 3 red balls and 5 blue balls. What is the probability of drawing a red ball?

A

3/5

B

3/8

C

5/8

D

8/3

12

What is the circumcenter of a right triangle?

A

The midpoint of the hypotenuse

B

The right-angle vertex

C

Inside the triangle

D

Outside the triangle

13

In a frequency distribution, the sum of all relative frequencies is:

A

1

B

0

C

Total frequency

D

100

14

Which triangle construction criterion uses two angles and the included side?

A

ASA

B

SAS

C

SSS

D

AAS

15

A histogram is used to display:

A

Categorical data

B

Continuous data

C

Discrete data only

D

Univariate data only

16

The medians of a triangle are concurrent at a point that divides each median in the ratio:

A

2:1 from the vertex

B

1:1

C

3:1 from the vertex

D

1:2 from the vertex

17

What is the incenter of a triangle?

A

Point of intersection of angle bisectors

B

Point of intersection of medians

C

Point of intersection of altitudes

D

Point of intersection of perpendicular bisectors

18

What is the class width if the class interval is 10-19?

A

10

B

9

C

11

D

19

In a right triangle, the altitude from the right-angle vertex to the hypotenuse:

A

Falls inside the triangle

B

Falls outside the triangle

C

Is the same as the hypotenuse

D

Is one of the legs

20

How many medians can a triangle have?

A

3

B

1

C

2

D

6

🎉 Practice Complete!