Quiz about 5.3 - Medians, Centroids, Circumcenter & Incenter

Question 1

The three medians of a triangle meet at a point of concurrency called the ____________.

Accepted Answer

centroid

Answer

center point

Answer

midpoint

Answer

median point

Question 2

The centroid of a triangle is ____________ of the distance from each vertex to the midpoint of the opposite side.

Accepted Answer

two-thirds

Answer

one-half

Answer

one-fourth

Answer

two-fifths

Question 3

BL = 12

Find BP

Accepted Answer

8

Answer

3

Answer

4

Answer

10

Question 4

BL = 12

Find PL

Accepted Answer

4

Answer

3

Answer

8

Answer

10

Question 5

As segment from a vertex of a triangle to the midpoint of the opposite side is called the __________.

Accepted Answer

median

Answer

centroid

Answer

midpoint

Answer

perpendicular bisector

Question 6

CP = 16

Find PL

Accepted Answer

8

Answer

24

Answer

16

Answer

12

Question 7

CP = 16

Find CL

Accepted Answer

24

Answer

16

Answer

12

Answer

8

Question 8

AL = 27

Find AP

Accepted Answer

18

Answer

27

Answer

9

Answer

3

Question 9

AL = 27

Find PL

Accepted Answer

9

Answer

27

Answer

18

Answer

3

Question 10

The centroid is the point of concurrency of the 3 ____ of a triangle.

Accepted Answer

Medians

Answer

Midsegments

Answer

Perpendicular Bisectors

Answer

Angle Bisectos

Question 11

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

Accepted Answer

Circumcenter

Answer

Midsegment

Answer

Incenter

Answer

Centriod

Question 12

If Z is the centroid, what type of segments are drawn?

Accepted Answer

medians

Answer

angle bisectors

Answer

perpendicular bisectors

Answer

altitudes

Question 13

The figure is an example of a(n) ...

Accepted Answer

angle bisector

Answer

perpendicular bisector

Answer

median

Answer

midsegment

Question 14

The figure is an example of a(n) ...

Accepted Answer

median

Answer

angle bisector

Answer

midsegment

Answer

altitude

Question 15

The figure is an example of a(n) ...

Accepted Answer

perpendicular bisector

Answer

altitude

Answer

midsegment

Answer

angle bisector

Question 16

The altitudes of a triangle intersect at the _________________________.

Accepted Answer

Orthocenter

Answer

Centriod

Answer

Circumcenter

Answer

Incenter

Question 17

The circumcenter of a triangle is equidistant from the _______ of the triangle.

Accepted Answer

vertices

Answer

sides

Answer

center

Answer

medsegment

Question 18

Which point is equidistant from the sides?

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Centroid

Answer

Orthocenter

Question 19

The point of concurrency made by 3 angle bisectors is known as the

Accepted Answer

incenter

Answer

orthocenter

Answer

centroid

Answer

circumcenter

Question 20

If G is the circumcenter, what type of segments are drawn?

Accepted Answer

perpendicular bisectors

Answer

angle bisectors

Answer

altitudes

Answer

centroids

Question 21

A perpendicular segment from a vertex to the line containing the opposite side (the height of a triangle).

Accepted Answer

Altitude

Answer

Angle Bisector

Answer

Perpendicular Bisector

Answer

Midsegment

Question 22

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

Accepted Answer

10

Answer

20

Answer

5

Answer

Not Enough Information

Question 23

A segment that is perpendicular to a side of a triangle at its midpoint

Accepted Answer

Perpendicular Bisector

Answer

Angle Bisector

Answer

Altitude

Answer

Median

Question 24

Three or more lines that intersect at one point.

Accepted Answer

concurrent

Answer

point of concurency

Answer

equidistant

Answer

congruent

Question 25

The same distance from two or more objects.

Accepted Answer

equidistant

Answer

concurrent

Answer

point of concurency

Answer

midpoint

Question 26

A segment that bisects one of the angles of a triangle

Accepted Answer

Angle Bisector

Answer

Perpendicular Bisector

Answer

Altitude

Answer

Midsegment

Question 27

AD = 12. Find AG

Accepted Answer

8

Answer

6

Answer

18

Answer

12

Question 28

The centroid is the point of concurrency of the 3 ____ of a triangle.

Accepted Answer

Medians

Answer

Midsegments

Answer

Perpendicular Bisectors

Answer

Angle Bisectos

Question 29

If G is the centroid of triangle ABC and AC= 32. Find the length of CE.

Accepted Answer

16

Answer

32

Answer

48

Answer

Not Enough Information

Question 30

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

Accepted Answer

8

Answer

4

Answer

12

Answer

Not Enough Information

Question 31

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

Accepted Answer

12

Answer

6

Answer

18

Answer

Not Enough Information

Question 32

BE = 15. Find EG.

Accepted Answer

5

Answer

10

Answer

22.5

Answer

20

Question 33

Question 33.

Accepted Answer

8

Answer

4

Answer

6

Answer

12

Question 34

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

Accepted Answer

8

Answer

16

Answer

24

Answer

Not Enough Information

Question 35

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

Accepted Answer

21

Answer

7

Answer

14

Answer

Not Enough Informaion

Question 36

What is the Centroid of this triangle?

Accepted Answer

(3, 2.7)

Answer

(5, 2)

Answer

(3, 4)

Answer

(2.7, 3)

Question 37

What is the centroid of this triangle?

Accepted Answer

(3.3, 2)

Answer

(3.3, 3.3)

Answer

(2, 2)

Answer

(3, 2)

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