Free Printable Topic 5

1.

Point Q is _______ (what fraction?) the distance from C to D.

a)

5/7

b)

2/3

c)

1/3

d)

2/7

2.

Point W (_____, _____) is on $\overline{AB}$ so that $AW=\frac{2}{5}AB$

a)

(14, 18)

b)

(18,14)

c)

(13, 8)

d)

(8, 13)

3.

Point N (_____, _____) is $\frac{1}{3}$ the distance from J to K.

a)

(40, 62)

b)

(64 ,40)

c)

(28, 73)

d)

(76, 29)

4.

Point Q is ( _____, _____) is $\frac{3}{4}$ the distance from A to B.

a)

(-5, -2)

b)

(2, 5)

c)

(5, -2)

d)

(1, 4)

5.

Point P (_____, _____) is $\frac{2}{3}$ the distance from B to A.

a)

(0, 3)

b)

(-4, -1)

c)

(1, 4)

d)

(-5, -2)

6.

What is the coordinate of so that point Q is $\frac{2}{5}$ the distance from B to A.

a)

-17

b)

-14

c)

-11

d)

-8

7.

Find the coordinates of Point R so that it is $\frac{3}{7}$ The distance from D to C.

a)

4

b)

8

c)

12

d)

16

8.

Find the coordinates of Point T so that it is $\frac{7}{10}$ the distance from E to F.

a)

41

b)

45

c)

49

d)

51

9.

Find the coordinates of Point P so that it is $\frac{1}{4}$ the distance from B to A.

a)

(2, -4)

b)

(0, -3)

c)

(-2, 0)

d)

(0, -2)

10.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

11.

Point N (_____, _____) is 1/6 the distance from J to K.

a)

(28, 73)

b)

(73, 28)

c)

(23, 78)

d)

(78, 23)

12.

Point Q (_____, _____) is 3/4 the distance from B to A.

a)

(-5, -2)

b)

(-2, -5)

c)

(2, 5)

d)

(5, 2)

13.

Point P (_____, _____) is 2/3 the distance from A to B.

a)

(0, 3)

b)

(3, 0)

c)

(0, -3)

d)

(-3, 0)

14.

Point P (_____, _____) is 1/4 the distance from A to B.

a)

(-2, 0)

b)

(0, -2)

c)

(2, 0)

d)

(0, 2)

15.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

16.

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

a)

Yes

b)

No

17.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

18.

Can the following side measures form a triangle?
4 cm, 7 cm, 10 cm

a)

Yes

b)

No

19.

Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

a)

Yes

b)

No

20.

Could a triangle with these side lengths exist?
33, 16, 17

a)

Yes

b)

No

c)

I don't know.

21.

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

a)

Yes

b)

No

c)

I don't know.

22.

Does a triangle with these side lengths exist?
20, 10, 9

a)

Yes

b)

No

c)

I don't know.

23.

Does a triangle with these side lengths exist?
11, 28, 16

a)

Yes

b)

No

c)

I don't know.

24.

Does a triangle with these side lengths exist?
18, 22, 5

a)

Yes

b)

No

c)

I don't know.

25.

Does a triangle with these side lengths exist?
5, 10, 15

a)

Yes

b)

No

c)

I don't know.

26.

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

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

27.

Does a triangle with these side lengths exist?
9, 40, 41

a)

Yes

b)

No

c)

I don't know.

28.

Select the measurements that match the sides of a triangle.

a)

7, 9, 19

b)

7, 12, 1

c)

7, 7, 7

d)

7, 7, 16

29.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

30.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

31.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

more than 3 but less than 11

b)

more than 11 but less than 3

c)

less than 3 but more than 11

32.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

33.

If the given side lengths of a triangle are 16 and 10 which can NOT be the third side?

a)

25

b)

22

c)

27

d)

21

34.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

35.

Which of the following describes a median of a triangle?

a)

A segment that passes through the middle of the triangle.

b)

A segment with endpoints at the vertex and midpoint of the opposite side.

c)

A segment that connects two midpoints of two sides.

d)

A segment that connects the vertex and the opposite side at 90 degrees.

36.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Midpoint

37.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Altitude-point

38.

A ray that divides an angle into two congruent angles.

a)

Segment Bisector

b)

Midpoint

c)

Angle Bisector

d)

Sunshine

39.

Perpendicular lines ...

a)

will never intersect

b)

intersect to form right angles

c)

are curved lines

d)

intersect to form 45 degree angle

40.

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

a)

median

b)

altitude

c)

midsegment

d)

angle bisector

41.

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

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

42.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

43.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Supercenter

d)

Neither

44.

Find the length of AB

a)

6

b)

11

c)

17

d)

68

45.

What is the length of AB?

a)

4

b)

8

c)

16

d)

24

46.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

47.

What is the value of y?

a)

3

b)

-3

c)

No Solution

d)

5

48.

What is the length of the Midsegment?

a)

6

b)

9

c)

12

d)

18

49.

What is the measure of angle a?

a)

50

b)

80

c)

130

d)

Cannot Determine

50.

Find the measure of ST

a)

12

b)

11

c)

24

d)

no enough information

51.

Find the measure of QR

a)

11

b)

22

c)

24

d)

55

52.

Find the measure of PU

a)

12

b)

11

c)

24

d)

not enough information

53.

KJ is a midsegment of WXV. What is the length of segment VX?

a)

6

b)

12

c)

9

d)

-2

54.

If BD=16, EA=5 and FC=3, what is the perimeter of triangle ABC (add all sides of big triangle)

a)

48

b)

16

c)

27

d)

29

55.

Find the midpoint between the two points: (-4,4) and (5,-1)

a)

(4,5)

b)

(3,4)

c)

(1/2, 1 1/2)

d)

(7,2)

56.

Find the midpoint between the two points: (-1,1) and (5,-5)

a)

(3,-3)

b)

(2,-2)

c)

(4,-4)

d)

(4,5)

57.

Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).

a)

(5, 7)

b)

(-2, 9)

c)

(9, -2)

d)

(1.5, -7)

58.

Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

a)

(5, -11)

b)

(5, -13)

c)

(-5, 11)

d)

(-5, -11)

59.

Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).

a)

(2, -5)

b)

(10, -8)

c)

(-8, -5)

d)

(12, -5)

60.

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

a)

(-9, 10)

b)

(1.5, -1)

c)

(4.5, -0.5)

d)

(8.5, 4.5)

61.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

62.

Find the endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

63.

Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)

a)

(-6, 14)

b)

(-4, -12)

c)

(13, -1)

d)

(5, 13)

64.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

65.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

66.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

67.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

68.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

69.

Find the distance between (-3, -11) and (8, -42).

a)

32.1

b)

32.3

c)

32.7

d)

32.9

70.

What is the distance between (-4, 2) and (-4, -4)

a)

1

b)

6

c)

5.8

d)

6.7

Topic 5

Total questions: 70

Worksheet time: 3hrs 47mins

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