Quiz about More Properties of Triangles

Question 1

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

Accepted Answer

10

Answer

20

Answer

5

Answer

Not Enough Information

Question 2

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 3

The centroid is ________________ found outside a triangle.

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Question 4

If LN = 5, then AC = ______.

Accepted Answer

10

Answer

5

Answer

15

Answer

25

Question 5

Complete the statement, the centroid cuts each ___ into two segments.  The shorter segment is ____ the length of the longer segment.

Accepted Answer

median, 1/2

Answer

median, 1/3

Answer

incenter, 2/3

Answer

median, 3/4

Question 6

The Circumcenter of a triangle is equidistant to the _______ of the triangle.

Accepted Answer

Angles

Answer

Sides

Answer

Midpoints

Answer

Perpendicular Bisectors

Question 7

The orthocenter is the intersection of the ______________.

Accepted Answer

Altitudes

Answer

Medians

Answer

Perpendicular Bisectors

Answer

Angle Bisectors

Question 8

The ___________________ is equidistant from the sides of the triangle.

Accepted Answer

Incenter

Answer

Centroid

Answer

Orthocenter

Answer

Circumcenter

Question 9

The ___________ is considered the balancing point of the triangle.

Accepted Answer

Centroid

Answer

Incenter

Answer

Orthocenter

Answer

Circumcenter

Question 10

Name the point of concurrency shown.

Accepted Answer

Centroid

Answer

Circumcenter

Answer

Incenter

Answer

Orthocenter

Question 11

The picture shows which point of concurrency
____________________.

Accepted Answer

incenter

Answer

centroid

Answer

circumcenter

Answer

orthocenter

Question 12

Find the length of PO.

Accepted Answer

32

Answer

35

Answer

26

Answer

29

Question 13

Given:  AG = 10, find the length of BG.

Accepted Answer

10

Answer

20

Answer

5

Answer

30

Question 14

Find the length of TU

Accepted Answer

12

Answer

15

Answer

26

Answer

13

Question 15

HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.

Accepted Answer

21

Answer

50

Answer

16

Answer

not enough information

Question 16

1.  PQ  is the perpendicular bisector of MN. What is QN?

Accepted Answer

14

Answer

7

Answer

10.5

Answer

28

Question 17

Find x

Accepted Answer

9

Answer

0

Answer

-1.5

Answer

2

Question 18

Find x

Accepted Answer

7

Answer

5

Answer

2

Answer

0

Question 19

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 20

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

Accepted Answer

Yes

Answer

No

Answer

How would I know?

Question 21

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

Accepted Answer

No

Answer

Yes

Answer

How would I know?

Question 22

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 23

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 24

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

Accepted Answer

4

Answer

6

Answer

7

Answer

5

Question 25

Which of the following does not represent the lengths of the sides of a triangle?

Accepted Answer

3 cm, 10 cm, 15 cm

Answer

2 cm, 6 cm, 7 cm

Answer

5 cm, 2 cm, 5 cm

Answer

5 cm, 5 cm, 8 cm

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