Free Printable Triangles and Concurrency

1.

What does the vocabulary word "concurrent" mean?

a)

Lines run side by side, never touching

b)

Lines intersect at perpendicular angles

c)

Lines intersect at exactly one point

d)

Lines intersect

2.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

3.

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

a)

4

b)

8

c)

12

d)

Not Enough Information

4.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

5.

If BC = 4x + 8 and GC = 11x - 23

a)

31 / 7

b)

12

c)

13

d)

3

6.

If ED = 16x + 18 and CD = 3x + 27, what is the value of x?

a)

7

b)

8

c)

9

d)

10

7.

Fill in the Blank: An altitude begins at a vertex and hits the opposite side at _____ degrees.

a)

45

b)

60

c)

90

d)

180

8.

Solve for x (on the angle).

a)

16

b)

20

c)

22

d)

24

9.

Name the midsegment of Triangle ABC.

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

10.

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

a)

4

b)

8

c)

16

d)

32

11.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

12.

VW is a midsegment of triangle KIJ. What is the length of segment KI?

a)

-1

b)

-20

c)

18

d)

8

13.

Given that FI is a perpendicular bisector (with FI being perpendicular to EH), what can be concluded? Check all that apply.

a)

$\angle EIF$ is a right angle.

b)

$\angle EFI\ =\ \angle EGH$

c)

EF = GF

d)

EI = HI

14.

If you are given that 3 lines in a triangle intersect to form a circumcenter, then the lines are _________.

a)

Medians

b)

Perpendicular Bisectors

c)

Altitudes

d)

Angle Bisectors

15.

If S is the incenter, what type of segments are drawn?

a)

medians

b)

angle bisectors

c)

perpendicular bisectors

d)

altitudes

16.

If $\angle RPL\ =\ 23\degree$ then $\angle RPQ\ =$ __________.

a)

11.5

b)

46

c)

23

d)

34

17.

If $\angle GHJ\ =\ 3x-2$ and $\angle IHJ\ =\ 2x+8$ , what does x equal?

a)

6

b)

10

c)

8

d)

16

18.

Which angle is the largest?

a)

A

b)

B

c)

C

d)

AB

19.

Which angle is the smallest?

a)

A

b)

B

c)

C

d)

BA

20.

Which side is the smallest?

a)

AB

b)

AC

c)

BC

d)

BA

Triangles and Concurrency

Total questions: 20

Worksheet time: 2hrs 40mins

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