Live Education Quiz

1

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

2

What is the centroid of a triangle also known as?

A

Center of gravity

B

Center of the circumcircle

C

Center of the incircle

D

Intersection of altitudes

3

What is the orthocenter of an acute triangle?

A

Inside the triangle

B

On the triangle

C

Outside the triangle

D

At the vertex

4

The incenter of a triangle is the point of concurrency of:

A

Angle bisectors

B

Medians

C

Altitudes

D

Perpendicular bisectors

5

How many perpendicular bisectors does a triangle have?

A

3

B

1

C

2

D

6

A triangle can be constructed if the sum of its two angles is:

A

Less than 180°

B

Equal to 180°

C

Greater than 180°

D

Any value

7

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

8

Which of the following cannot be constructed as a triangle?

A

3 cm, 4 cm, 8 cm

B

5 cm, 6 cm, 7 cm

C

4 cm, 5 cm, 6 cm

D

6 cm, 8 cm, 10 cm

9

In an equilateral triangle, the altitude and median from the same vertex are:

A

The same line

B

Perpendicular lines

C

Parallel lines

D

Different lines

10

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

11

What is the point of intersection of the perpendicular bisectors of the sides of a triangle called?

A

Circumcenter

B

Orthocenter

C

Centroid

D

Incenter

12

A median of a triangle divides the triangle into:

A

Two equal areas

B

Two congruent triangles

C

Two isosceles triangles

D

Two right triangles

13

What is the point of intersection of the medians of a triangle called?

A

Centroid

B

Orthocenter

C

Circumcenter

D

Incenter

14

Can a triangle be constructed if the sum of two sides is equal to the third side?

A

No, it forms a degenerate triangle

B

Yes, a unique triangle is formed

C

Yes, two triangles are formed

D

Sometimes, depending on the angles

15

The altitude of a triangle is a line segment drawn from a vertex:

A

Perpendicular to the opposite side

B

Parallel to the opposite side

C

Bisecting the opposite side

D

Bisecting the angle at the vertex

16

What is the point of concurrency of the medians of a triangle called?

A

Centroid

B

Orthocenter

C

Circumcenter

D

Incenter

17

What is the orthocenter of an acute triangle?

A

Inside the triangle

B

On the triangle

C

Outside the triangle

D

At the vertex

18

What is the orthocenter of a right triangle?

A

The right-angle vertex

B

The midpoint of the hypotenuse

C

Inside the triangle

D

Outside the triangle

19

How many altitudes does a triangle have?

A

3

B

1

C

2

D

6

20

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

🎉 Practice Complete!