Free Printable Grade 10 End of Week 15 Assessment

1.

Write in component form.

a)

b)

c)

d)

2.

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

hint; first find AB, you could probably draw it.

a)

6

b)

8.2

c)

10

d)

10.4

3.

find 2w + y

a)

b)

c)

d)

4.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

5.

Write the vector from E to D...

a)

y

b)

-y

c)

x

d)

-x

6.

Write the vector from A to C...

a)

x + z

b)

x + y

c)

x - z

d)

x - y

7.

Write the vector from B to C...

a)

r + s

b)

-r + s

c)

s + r

d)

-s - r

8.

a)

b)

c)

d)

9.

a)

$x=6;\ y=11$

b)

$x=18;\ y=1$

c)

$x=18;\ y=11$

d)

$x=6;\ y=1$

10.

$\overrightarrow{AB}$ as a column vector is

a)

b)

c)

d)

11.

ABCD is a parallelogram. AB is parallel to DC.
AD is parallel to BC. Find $\overrightarrow{AC}$ in terms of p and q

a)

p + q

b)

p - q

c)

q - p

d)

2q

12.

ABCD is a parallelogram. AB is parallel to DC.AD is parallel to BC. Find $\overrightarrow{BD}$ in terms of p and q

a)

p + q

b)

p - q

c)

2q

d)

q - p

13.

Which vector is parallel to the vector above

a)

b)

c)

d)

14.

If $\overrightarrow{AD}$ = a - 2b the vector that is parallel to $\overrightarrow{AD}$ is

a)

3a - 2b

b)

a - 4b

c)

-2a + 4b

d)

2a - 5b

15.

$\overrightarrow{AB}$ The coordinates of two points A and B are (3, 4) and (9, 12). Find the magnitude of

a)

10

b)

16

c)

81

d)

100

16.

Triangle ABC has vertices at A(6, 1) B(1, 7) and C(-3, -2). The translation to create triangle A'B'C' is represented by the vector show in the picture. Which will be the coordinates of triangle A'B'C'?

a)

(5, 2) (0, -4) (0, 9)

b)

(5, 3) (0, -4) (0, 8)

c)

(5, 3) (0, 9) (-4, 0)

d)

(5, 2) (1, -3) (0, 9)

17.

Shape A has been translated to Shape B and then to Shape C.

Write a vector to represent the translation from Shape A to Shape B.

a)

b)

c)

d)

e)

18.

(a)

19.

A line segment with a length of 5 is translated three left and two down. What is the length of its image?

(a)

20.

Point M (-3, 5) is translated using the vector shown. What are the coordinates of M' (the image of M)?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

None of these

Grade 10 End of Week 15 Assessment

Total questions: 20

Worksheet time: 1hrs 4mins

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