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Worksheets

G8 Review Practice

Total questions: 51

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

RHS

2.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

RHS

3.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

RHS

4.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

RHS

5.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

SSA

e)

Not congruent

6.

Determine whether each of the following pairs of triangles are necessarily congruent. If they are, give

reasons.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

RHS

7.
Are the triangles similar?
a)
Yes
b)
No
8.
How do these triangles appear to be similar?
a)
AA
b)

Ratio of two sides and an included angle equal

c)

Three sides proportional

d)
Not Similar
9.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
10.
Find missing side
a)
5
b)
7
c)
9
d)
11
11.

Solve for n

n4=87\frac{n}{4}=\frac{8}{7}  

a)

5

b)

32

c)

4

d)

32/7

12.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
13.
a)
20
b)
30
c)
25
d)
23
14.
A1
a)
15
b)
20
c)
25
d)
30
15.
A1
a)
60
b)
70
c)
80
d)
90
16.

For each pair of similar figures, find the perimeter of the second figure.

(a)  

17.
Find the ratio (red to blue) of the perimeter.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
18.
Find the ratio (blue to red) of the perimeter.
a)
4/7
b)
7/4
c)
49/16
d)
16/49
19.
What is the gradient of the line
y = 2x - 3?
a)
2
b)
-3
c)
3
d)
2x
20.
What is the y-intercept of the line
y = 4x - 6?
a)
4
b)
4x
c)
6
d)
-6
21.
Which of these lines is
y = 5?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
22.
Which of these
co-ordinates lie on the line
y = 3x - 8?
a)
(5, 8)
b)
(0, 8)
c)
(2, -2)
d)
(1, 5)
23.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
24.
Vertical or horizontal?
Slope of 0
a)
vertical
b)
horizontal
c)
neither
25.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
26.
Vertical or horizontal?
y = -3
a)
vertical 
b)
horizontal
c)
neither
27.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
28.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

2xy2=02x-y-2=0

b)

2xy10=02x-y-10=0

c)

2xy+2=02x-y+2=0

d)

2xy+10=02x-y+10=0

29.

If straight line  x2y+4=0x-2y+4=0   cuts the x-axis and y-axis at P and Q respectively, find the area of Δ\Delta  OPQ.

a)

Area = 1

b)

Area = 2

c)

Area = 4

d)

Area = 8

30.

Find the area of Δ\Delta  ABC in the figure.

a)

Area = 3

b)

Area = 4

c)

Area = 8

d)

Area = 16

31.

Fiigure(s) made up of curves only.

a)
b)
c)
d)
32.

Fiigure(s) made up of straight lines only.

a)
b)
c)
d)
33.

Is this a pair of adj. angles?

a)

Yes

b)

No

34.

Are these adj. angles ?

a)

Yes

b)

No

35.

If b < 0 and c < 0, which of the following may represent the graph of

3x + by + c = 0?

a)
b)
c)
d)
36.

Find the distance of (3;8) and (-2;-4)

(a)  

37.

Find the distance of (1;2) and (9;17)

(a)  

38.

Which function matches the graph?

a)

y=x12y=x^{-\frac{1}{2}}

b)

y=x2y=x^{-2}

c)

y=x3y=x^{-3}

39.

What is a possible equation for the sketch graph?
Select one of the equations below

a)

y=2xy=-\frac{2}{x}

b)

y=5x2y=\frac{5}{x^2}

c)

y=x2+1y=x^2+1

d)

y=3x2y=-\frac{3}{x^2}

e)

y=x32y=x^3-2

40.

What is a possible equation for the sketch graph?
Select one of the equations below

a)

y=x3y=x^3  

b)

y=1xy=\frac{1}{x}

c)

y=x3y=-x^3  

d)

y=3x2y=3x^2   

e)

y=4x2y=\frac{4}{x^2}

41.

What is a possible equation for the sketch graph?
Select one of the equations below

a)

y=x+5y=x+5  

b)

y=3xy=\frac{3}{x}  

c)

y=4x2y=4x^2  

d)

y=2xy=2^x  

e)

y=3xy=-\frac{3}{x}  

42.

What is a possible equation for the sketch graph?

Select one of the equations below

a)

y=4xy=4^x

b)

y=x2+2y=x^2+2

c)

y=3y=3

d)

y=4x+2y=4x+2

e)

x=3x=3

43.

What is a possible equation for the sketch graph?
Select one of the equations below

a)

y=3xy=3^x

b)

y=2x2y=-\frac{2}{x^2}

c)

y=2xy=\frac{2}{x}

d)

y=x21y=x^2-1

e)

y=12xy=-\frac{1}{2x}

44.

What is a possible equation for the sketch graph?
Select one of the equations below

a)

y=2xy=2^x  

b)

y=2x2y=2x^2

c)

y=x21y=-x^2-1

d)

y=x3y=x^3

45.

What is a possible equation for the sketch graph?

Select one of the equations below

a)

y=4xy=4^x

b)

y=3x+5y=-3x+5

c)

y=x2y=x^2

d)

y=3x+5y=3x+5

e)

y=2x4y=2x-4

46.

Find the graph of  f(x)=x3f\left(x\right)=x^3  

a)
b)
c)
d)
47.

Find the graph of  f(x)=x2f\left(x\right)=x^2  

a)
b)
c)
d)
48.
a)

f(x) = 1/x

b)

f(x) = 1/x2

c)

f(x) = √x

d)

f(x) = ∛x

49.
Which is most likely the function of the graph shown.
a)
f(x) = x–1
b)
f(x) = ∛x
c)
f(x) = ln x
d)
f(x) = csc x
50.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
51.

Find the equation of the red line:

a)

y = 1

b)

y = -1

c)

x = 1

d)

x = -1