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Y8 revision 2

Total questions: 110

Worksheet time: 7hrs 1mins

Name
Class
Date
1.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

2.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

3.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

4.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes - ASA

c)

Yes - SSS

d)

Not enough information

5.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SAS

c)

Yes - AAS

d)

Not enough information

6.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

7.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

8.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Not enough information

d)

Yes - SAS

9.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes- RHS

c)

Yes - ASA

d)

Yes - AAS

10.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SAS

c)

Yes - ASA

d)

Not enough information

11.

How many degrees are in a right angle?

a)


30°30\degree

b)

90°90\degree

c)

60°60\degree

d)

Not enough information

12.

What kind of triangle is this?

a)

SAS

b)

SSA

c)

Right Triangle

d)

SSS

13.

What do we call A? (hint: there is more than one answer, click all that are true)

a)

Side

b)

Angle

c)

Leg

d)

Hypotenuse

14.

What do we call b? (hint: there can be more than one answer, click all that are true)

a)

Side

b)

Angle

c)

Leg

d)

Hypotenuse

15.

What do we call c? (select all that are true)

a)

Angle

b)

Leg

c)

90°90\degree

d)

Hypotenuse

16.

Which is not a test for congruence?

a)

AAS

b)

SSS

c)

AAA

d)

SAS

17.

Which one of these has an included side?

a)

ASA

b)

SAS

c)

AAS

d)

RHS

18.

Which rule would you use to find out if these are congruent? (fill in the blank)

(a)  

19.

What would you name this triangle? (click all that are true)

a)

ΔABC\Delta ABC  

b)

ΔBAC\Delta BAC  

c)

ABC\angle ABC  

d)

AB

20.

What is the symbol for congruent?

a)

==

b)

\perp

c)

\angle

d)

\cong

21.

What is the gradient of this line?

a)

-1/3

b)

1/3

c)

3

d)

-3

22.

What is the gradient of this line?

a)

1

b)

0

c)

-1

d)

Undefined (or infinite)

23.

What is the gradient of this line?

a)

1

b)

0

c)

-1

d)

Undefined (infinite)

24.

What is the gradient of this line?

a)

1

b)

0

c)

-1

d)

Infinite (undefined)

25.

What is the gradient of this line?

a)

4

b)

-1/4

c)

1/4

d)

1/3

26.

What is the gradient of this line?

a)

2

b)

-1/2

c)

1/2

d)

-2

27.

What is the gradient of this line?

a)

5

b)

-1/5

c)

1/5

d)

-5

28.

What is the gradient of this line?

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

29.

What is the gradient of this line?

a)

-1/3

b)

1/3

c)

3

d)

-3

30.

What is the gradient of this line?

a)

-1/3

b)

1/3

c)

3

d)

-3

31.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

32.

What is the gradient of this slope

a)

5

b)

5/2

c)

5/3

d)

-5/3

33.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
34.

What is the definition of

Gradient of a Line?

a)

It is the measure of degrees of a line.

b)

It is the measure of length of a line.

c)

It is the measure of steepness of a line.

d)

It is the measure of strength of a line.

35.

How do you measure gradient?

a)

Gradient = rise / run

b)

Gradient = vertical change in x / horizontal change in y

c)

Gradient = vertical change in y / horizontal change in x

d)

Gradient = run / rise

36.
What type of gradient?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
37.

What type of gradient?

a)

undefined

b)

positive gradient

c)

negative gradient

d)

zero gradient

38.

When the line is a horizontal (flat), the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

39.

When the line is vertical, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

40.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
41.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

42.

Does the following equation represent a vertical line, a horizontal line, or neither?


x = 4

a)

vertical

b)

horizontal

c)

neither

43.

Which is the correct graph for x = −4?

a)

A

b)

B

c)

C

d)

D

44.

Which is the correct graph for y = 3?

a)

A

b)

B

c)

C

d)

D

45.

Rise is ...

a)

The changes in y

b)

The changes in x

46.

Run is ...

a)

The changes in y

b)

The changes in x

47.

The steepest the line, the .... the gradient.

a)

smallest

b)

greatest

48.

Which line has the greatest gradient/slope?

a)
b)
c)
49.

What is the gradient of the graph shown in the picture?

a)

m=0m=0

b)

m=m=\infty

c)

m=undefinedm=undefined

d)

m=1m=1

50.

What is the gradient of the graph shown in the picture?

a)

m=0m=0

b)

m=m=\infty

c)

m=undefinedm=undefined

d)

m=1m=1

51.

Which line has negative gradient/slope?

a)
b)
c)
d)

52.

Which line has positive gradient/slope?

a)
b)
c)
d)
53.

The gradient of line y=4y=4 is ...

a)

0

b)

a positive number

c)

a negative number

d)

undefined

54.

The gradient of line x=12x=12 is ...

a)

0

b)

a positive number

c)

a negative number

d)

undefined

55.

State the gradient for the graph y = 5x4y\ =\ 5x-4  .

(a)  

56.

State the gradient for the graph y = 12x3y\ =\ \frac{1}{2}x-3  .

(a)  

57.

State the gradient for the graph y = 7x+4y\ =\ -7x+4  .

(a)  

58.

State the gradient of the graph y=4+xy=4+x  .

(a)  

59.

State the gradient of the graph y=0.25x+1y=0.25x+1  .

(a)  

60.

State the gradient of the graph 2y=3x+42y=3x+4  .

(a)  

61.

State the gradient of the graph 3y=2x+53y=2x+5  .

(a)  

62.

State the gradient of the graph 4y=4x+14y=4x+1 .

(a)  

63.

State the gradient of the graph y = 9.

(a)  

64.

State the gradient of the graph y=4y=-4  .

(a)  

65.

State the gradient of the graph 5y = 32x5y\ =\ 3-2x  .

(a)  

66.

State the gradient of the graph y=0y=0  .

(a)  

67.

State the y-intercept for the graph y=x+5y=x+5  .

(a)  

68.

State the y-intercept for the graph y=4xy=4x  .

(a)  

69.

 State the y-intercept for the graph y=13xy=\frac{1}{3}x  .

(a)  

70.

State the y-intercept for the graph y=2x6y=2x-6  .

(a)  

71.

State the y-intercept for the graph 2y=x12y=x-1  .

(a)  

72.

State the y-intercept for the graph 3y = 2x+33y\ =\ 2x+3  .

(a)  

73.

State the y-intercept for the graph y = 3x+0.2y\ =\ 3x+0.2  .

(a)  

74.

State the y-intercept for the graph 2x+y=162x+y=16  .

(a)  

75.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
d)
D. A segment that connects the vertex and the opposite side at 90 degrees. 
76.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
77.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
78.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
79.
Identify the special segment that's pictured: 
a)
Altitude
b)
Midsegment
c)
Median
d)
Angle Bisector
80.
A median of a triangle connects the ___________ of a side to the opposite vertex.
a)
midpoint
b)
right angle
c)
end point
d)
angle
81.

Find GF

a)

18.6

b)

11.1

c)

12.6

d)

14

82.

find FE

a)

16

b)

32

c)

11

d)

26

83.

Find NM

a)

12

b)

17

c)

31

d)

20

84.
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
85.
The dotted line represents a ?...
a)
median
b)
centroid
c)
midsegment
d)
midpoint
86.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
87.

Which line is an angle bisector?

a)
XY
b)
BY
c)
AZ
d)
XC
88.

 What type of line is shown by CD

a)
Altitude
b)
perpendicular bisector
c)
median
d)
angle bisector
89.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
90.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
91.

The union of three angle bisectors is the

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

92.
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
93.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
94.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
95.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
96.

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

a)

3

b)

6

c)

9

d)

12

97.

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

a)

4

b)

8

c)

12

d)

16

98.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
99.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
100.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
101.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
102.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
103.

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

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

104.

Which set of side lengths will form a triangle?

a) 3, 6, 12. b) 7, 7, 14, c) 9, 9, 9 d) 13, 6, 7

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

105.

Does a triangle with these side lengths exist? yes or no?

15, 12, 9.

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

106.

Which set of numbers represents the side lengths of a triangle?

a) 5, 18, 13 b) 6, 17, 22 c) 16, 24, 7 d) 26, 8, 15

a)
{5,18,13}
b)
{6,17,22}
c)
{16,24,7}
d)
{26,8,15}
107.
Find the measure of each angle indicated.
a)
38
b)
47
c)
40
d)
70
108.
Find the measure of each angle indicated.
a)
48
b)
87
c)
35
d)
40
109.
Solve for x.
a)
6
b)
8
c)
15
d)
13
110.

Solve for x

a)

36

b)

86

c)

94

d)

110