Free Printable Geo Mod 4.4 Everything Triangles

1.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

2.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Obtuse, Scalene

3.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Obtuse, Scalene

4.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

5.

If QN bisects ∠PQR and N is the midpoint of PR. classify ∆PRT by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Obtuse, Scalene

6.

List the lengths of the sides of the triangle in order from smallest to largest.

a)

JK < JL < KL

b)

JL < KL < JK

c)

JK < KL < JL

d)

KL < JL < JK

7.

List the angles of the triangle in order from smallest to largest.

a)

$\angle L,\ \angle N,\ \angle M$

b)

$\angle L,\ \angle M,\ \angle N$

c)

$\angle M\ ,\ \angle L,\ \angle N$

d)

$\angle N,\ \angle L,\ \angle M$

8.

List the angles of the triangle in order from smallest to largest.

a)

$\angle F,\ \angle G,\ \ \angle E$

b)

$\angle E,\ \angle G,\ \angle F$

c)

$\angle G,\ \angle E,\ \angle F$

d)

$\angle F,\ \angle E,\ \angle G$

9.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

10.

Where would the shortest side of a triangle be located?

a)

Across from the smallest angle in the triangle.

b)

Across from the largest angle in the triangle?

c)

Cannot tell.

11.

What is the value of x?

a)

75

b)

80

c)

63

d)

60

12.

Find x

a)

60

b)

48

c)

30

d)

28

13.

Find x

a)

90

b)

45

c)

22

d)

35

14.

What are the different parts of an isosceles triangle?

a)

1 leg, 2 vertex angles, 1 base, and 2 base angle

b)

1 leg, 2 vertex angles, 2 bases, and 1 base angle

c)

2 legs, 1 vertex angle, 1 base, and 2 base angles

d)

2 legs, 1 vertex angle, 2 bases, and 1 base angle

15.

a)

It should be $\angle A\ \cong\angle B$

b)

It should be $\angle B\cong\angle C$

c)

It should be $\overline{AC}\cong\overline{BC}$

d)

Claudia drew the diagram correctly.

16.

What are the values for x, y, z?

a)

x=47 , y=5 , z=10

b)

x=10 , y=5 , z=47

c)

x=47 , y=10 , z=5

d)

x=5 , y=47 , z=10

17.

What is point J called?

a)

centroid

b)

incenter

c)

circumcenter

d)

orthocenter

18.

T is the centroid, if TL=5, VL=?

a)

10

b)

15

c)

2.5

d)

5

19.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

20.

If TP=27, ZP=?

a)

18

b)

9

c)

13.5

d)

54

21.

What type of special segment is shown?

a)

Angle Bisector

b)

Altitude

c)

Median

d)

Perpendicular Bisector

22.

What type of special segment is shown?

a)

Altitude

b)

Perpendicular Bisector

c)

Median

d)

Angle Bisector

23.

If AG = 2x + 21 and RE = x + 10.5,
what is NG?

a)

16

b)

8

c)

26.5

d)

10.5

24.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

25.

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

a)

5.5

b)

11

c)

-5.5

d)

-11

26.

What is the length of the Midsegment?

a)

6

b)

9

c)

12

d)

18

27.

What is the measure of angle a?

a)

50

b)

80

c)

130

d)

Cannot Determine

28.

What is the measure of angle Y?

a)

60

b)

40

c)

140

d)

100

29.

When $QS=6x$ and $CS=5x-8$ , what is $AB$ ?

a)

4

b)

12

c)

16

d)

24

30.

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

a)

Yes

b)

No

c)

I don't know.

31.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

32.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

33.

Find the measure of the indicated angle.

a)

80

b)

58

c)

42

d)

138

34.

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

a)

Yes

b)

No

35.

Can a triangle be formed with sides of

6, 9, and 11?

a)

Yes

b)

No

36.

Two side measures of a triangle are given. What is the range of values for the third side?

9 and 7

a)

6 < x < 14

b)

2 < x < 13

c)

2 < x < 16

d)

2 < x < 15

37.

Two side measures of a triangle are given. What is the range of values for the third side?

8 and 9

a)

5 < x < 17

b)

5 < x < 13

c)

2 < x < 17

d)

1 < x < 17

38.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

39.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

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

Geo Mod 4.4 Everything Triangles

Total questions: 40

Worksheet time: 10hrs 0mins

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