Free Printable Geometry Nation - Section 6 (Triangles Part 2)

1.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

2.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

3.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

4.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

5.

What is true about similar figures?

a)

Everything is congruent

b)

They have the same shape but different size

6.

In Similar figures the ________________ are the same.

a)

Angles

b)

Sides

c)

Diagonals

7.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

8.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

9.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

10.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

11.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

12.

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

a)

4

b)

8

c)

16

d)

32

13.

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

a)

5.5

b)

11

c)

-5.5

d)

-11

14.

IJ is a midsegment of triangle MLN. What is the length of segment IJ?

a)

9

b)

6

c)

18

d)

0

15.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

16.

Find the value of x.

a)

x = 3

b)

x = 4

c)

x = 7

d)

x = 5

17.

Can a triangle be formed with side lengths:
4, 7, 10

a)

yes

b)

no

c)

not enough information

18.

Can a triangle be formed with side lengths:
10, 12, 22

a)

yes

b)

no

c)

not enough information

19.

Can a triangle be formed with side lengths:
17, 9, 30

a)

yes

b)

no

c)

not enough information

20.

Compare QT and ST

a)

$QT\ <\ ST$

b)

$QT\ >\ ST$

c)

$QT\ =\ ST$

d)

$\overline{QT}\ \cong\ \overline{ST}$

21.

Find the range of possible values for x.

a)

$\frac{7}{2}<x<24$

b)

$x<6$

c)

$24<x$

d)

$\frac{11}{2}<x<6$

22.

Find the range of possible values for x.

a)

$2\ <x<6$

b)

$6<x<15\ \frac{1}{3}$

c)

$6<x<22$

d)

$2<x<22$

23.

Find the range of possible values of x.

a)

$-20<x<21$

b)

$8<x<37$

c)

$34<x<37$

d)

$8<x<24$

24.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

25.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

26.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

27.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

28.

What is #3 Reason and #4 Statement?

a)

#3 - Reflexive Property

#4 - ∠ACB ≌ ∠ECD

b)

#3 - Definition of Midpoint

#4 - ∠ACB ≌ ∠ECD

c)

#3 - Segment Bisector

#4 - ∠BCA ≌ ∠DCE

d)

#3 - Reflexive Property

#4 - ∠BCA ≌ ∠DCE

29.

Define: CIRCUMCENTER OF A TRAINGLE

a)

the intersection point of the three perpendicular bisectors of a triangle

b)

when a circle passes through the three vertices of a triangle

c)

the point of intersection of three or more lines

d)

the intersection point of the three angle bisectors of a triangle

30.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle

b)

when three or more lines intersect at a single point

c)

the intersection point of the three perpendicular bisectors of a triangle

d)

the point of intersection of three or more lines

31.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

32.

Point P is the circumcenter, which segment is equal to PB

a)

DA

b)

AC

c)

PC

d)

PF

33.

One of the examples from the video is shown. What is the length of BG?

a)

8

b)

16

c)

17

d)

34

34.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

35.

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

a)

20

b)

10

c)

5

d)

Not Enough Information

36.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

37.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

38.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

39.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

40.

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

41.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

42.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

43.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

44.

Find missing side

a)

5

b)

7

c)

9

d)

11

45.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

Geometry Nation - Section 6 (Triangles Part 2)

Total questions: 45

Worksheet time: 4hrs 45mins

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