Free Printable Geometry Unit 6 Triangle Properties

1.

In the figure shown, what is m<WXY?

a)

45

b)

107

c)

120

d)

135

2.

Which lists the sides of

\Delta

BCD in order from shortest to longest?

a)

$\overline{CD},\ \overline{BD},\ \overline{BC}\$

b)

$\overline{BC},\ \overline{CD},\ \overline{BD}$

c)

$\overline{BD},\ \overline{CD},\ \overline{BC}$

d)

$\overline{BC},\ \overline{BD},\ \overline{CD}$

3.

Which lists the sides of $\Delta$ WNP in order from longest to shortest?

a)

$\overline{WP},\ \overline{NP},\ \overline{WN}$

b)

$\overline{WN},\ \overline{NP},\ \overline{WP}$

c)

$\overline{NP},\ \overline{WN},\ \overline{WP}$

d)

$\overline{WP},\ \overline{WN},\ \overline{NP}$

4.

In the drawing of triangle XYZ, which angle has the least measure?

a)

<XZY

b)

<XYZ

c)

<ZYX

d)

Two angles are both the smallest

5.

Which of the following could not be the lengths of the sides of a triangle?

a)

6ft, 3ft, 9ft

b)

3 cm, 4 cm, 5 cm

c)

4 in, 6 in, 8 in

d)

5 km, 2 km, 4 km

6.

Which pipe lengths could be joined to form a triangle?

a)

15 ft, 6 ft, 5 ft

b)

13 ft, 12 ft, 5 ft

c)

40 ft, 20 ft, 10 ft

d)

19 ft, 16 ft, 2 ft

7.

Two sides of a triangle measure 14 inches and 8 inches. Which cannot be the length of the remaining side?

a)

6in

b)

8in

c)

14in

d)

21in

8.

Find w.

(a)

9.

Solve for y

(a)

10.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

11.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

12.

Solve for x.

a)

-8

b)

-6

c)

7

d)

-1

13.

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

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

14.

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

15.

If DL = 24, then DG =

a)

16

b)

8

c)

12

d)

36

16.

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

17.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

18.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

19.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

20.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

21.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

22.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 1,\ \angle\ 3,\ \angle4$

a)

$\angle1$

b)

$\angle3$

c)

$\angle4$

d)

Not enough information

23.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

24.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

25.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

26.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

27.

The dimensions of the right triangle shown above are given in feet. What is the length of the hypotenuse of the triangle, in feet?

a)

$\sqrt{11}$

b)

7

c)

$\sqrt{65}$

d)

11

e)

65

28.

The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in feet?

a)

27

b)

26

c)

34

d)

$\sqrt{1,644}$

e)

48

29.

A train leaves a station heading east. After traveling 33 miles east, the train travels 56 miles south. How far is the train from the station?

a)

33

b)

56

c)

65

d)

72

e)

89

30.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

Geometry Unit 6 Triangle Properties

Total questions: 30

Worksheet time: 42mins

Similar Resources on Wayground