G8. CLS 9 . Position and Transformation

Chapter 13.
Position and

transformation

CLS Coursebook 9

Start

Getting Started

Math Response

A map has a scale of 1 : 200 000.

On the map, the distance between two villages is 8 cm.

What is the distance, in km, between the two villages in real life?

Type answer here

Correct Answer: 16

Deg^°

Rad

Math Response

A map has a scale of 1 : 200 000.

The distance between two towns is 60 km in real life.

What is the distance, in cm, between the two towns on the map?

Type answer here

Correct Answer: 16

Deg^°

Rad

Multiple Choice

Work out the midpoint of the line segments joining these pairs of points.

(4, 8) and (12, 8)

• (8, 8)
• (10, 8)
• (6, 8)
• (8, 10)

Multiple Choice

Work out the midpoint of the line segments joining these pairs of points.

(3, 10) and (7, 6)

• (6, 7)
• (5, 8)
• (4, 9)
• (8, 5)

Multiple Choice

The diagram shows shapes A and B on a coordinate grid.

Find the column vector that translates shape A to shape B.

• [-5, -6]

• [-6,-5]

• [-1, -4]
• [2, 3]

Multiple Choice

The diagram shows shapes A and B on a coordinate grid.

Find the column vector that translates shape B to shape A.

• [5, 6]

• [6, 5]

• [-5, 6]

• [-6, 5]

Dropdown

The diagram shows triangles P and Q.

Describe the rotation that takes P to Q.

Ans:

It is a​

Select answer

direction​

Select answer

angle​

Select answer

degree.

13.1 Bearings and scale drawings

Multiple Choice

What are Bearings in maths?

• A bearing is an angle, measured clockwise from the north direction.

• A bearing is an angle, measured counter - clockwise from the north direction.

• A bearing is an angle, measured clockwise from the east direction.

• A bearing is an angle, measured counter - clockwise from the east direction.

• Any normal angle

Multiple Choice

What is the bearing

• 215

• 035

• 30

• 145

Multiple Choice

What is
the correct bearing?

• 30
• 330
• 030
• 60

Multiple Choice

Write the bearings of A from O

• 125

• 055

• 035

• 305

Multiple Choice

Choose the correct true bearing

• 75

• 255

• 195

• 075

Multiple Choice

Choose the correct true bearing

• 62

• 062

• 332

• 152

Multiple Choice

Choose the correct bearing of A from O

• 30

• 030

• 300

• 330

Multiple Choice

Zynn and Fynn are two cities placed on a hill. Use the picture to find the bearing from Fynn to Zynn!

• 57 degree

• 67 degree

• 227 degree

• 237 degree

Multiple Choice

Zynn and Fynn are two cities placed on a hill. Use the picture to find the bearing from Zynn to Fynn!

• 57 degree

• 67 degree

• 227 degree

• 237 degree

13.2 Points on a line segment

Multiple Choice

Write the coordinates of the points A and B.

• A: (1, 2), B: (1, 3)
• A: (0, 2), B: (3, 2)

• A: (1, 1), B: (1, 4)
• A: (2, 2), B: (2, 3)

Multiple Choice

Work out the coordinates of the point that lies one third $$\left(\frac{1}{3}\right)$$ of the way along AB.

• (1, 2)

• (2, 1)

• (2, 3)

• (3, 2)

Multiple Choice

Work out the coordinates of the point that lies one third $$\left(\frac{1}{4}\right)$$ of the way along CD.

• (4, 2)

• (2, 4)

• (2, 3)

• (3, 2)

Multiple Choice

J is the point (1, 5) and K is the point (13, 13). L is the point that lies $$\frac{3}{4}$$ of the way along JK.

Work out the coordinates of L.

• (5, 9)
• (8, 10)
• (12, 12)
• (10, 11)

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Multiple Choice

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

• (-1, 7)

• (2, 7)

• (7, -1)

• (2, 2)

Multiple Choice

Find the midpoint: $$\left(2,-7\right),\left(10,1\right)$$  

• (-3,6)

• (6,-3)

• (4,4)

• none

Multiple Choice

Find the midpoint:

• 
  

  $$\left(3,-1\right)$$
  

• $$\left(-1,3\right)$$

• $$\left(3,4\right)$$

• $$\left(4,3\right)$$

Multiple Choice

O is at the point (0, 0), M is at (16, 12) and N is at (10, 15).

$$\frac{1}{4}$$ of the way along OM is

• (4, 3)
• (8, 6)
• (12, 9)
• (2, 1)

Multiple Choice

O is at the point (0, 0), M is at (16, 12) and N is at (10, 15).

$$\frac{3}{4}$$ of the way along OM is

• (12, 9)
• (16, 12)
• (14, 10)
• (8, 6)

Multiple Choice

O is at the point (0, 0), M is at (16, 12) and N is at (10, 15).

$$\frac{1}{5}$$ of the way along ON is

• (8, 10)
• (12, 9)
• (2, 3)
• (4, 6)

Multiple Choice

O is at the point (0, 0), M is at (16, 12) and N is at (10, 15).

$$\frac{4}{5}$$ of the way along ON is

• (12, 9)
• (8, 12)
• (4, 6)
• (10, 10)

Multiple Choice

F is the point (3, 4) and G is the point (9, 13). H is the point that lies $$\frac{2}{3}$$ of the way along FG.

Find point H.

• (5, 8)
• (7, 10)
• (6, 9)
• (8, 12)

Open Ended

The show triangle A and its image, triangle B.

Describe the combined transformation that map triangle A to its image, triangle B.

Multiple Choice

Transform A in the following ways:

T = translation right 2, down 3

F = reflection over the line y = 3

Determine which shape is A'

• I

• II

• III

• IV

Multiple Choice

T = translation (0, -3)

E = enlargement of scale factor 2 with centre O, the origin

Determine the image of shape A under combined transformations ET.

• I

• II

• III

• IV

Multiple Choice

What is the sequence of transformations for the image given? (Remember: The new Image has the prime symbols.)

• Reflect over the x-axis, translate (x+8,y)

• Reflect over the x-axis then translate (x+6, y)

• Reflect over the y-axis then (x+1, y+1)

• Translate down 4 (y-4) and to the right 5 (x+5)

Multiple Choice

What combined transformations took the red to the green?

• A dilation followed by a translation.

• A rotation followed by a translation.

• A translation followed by a dilation.

• A reflection followed by a rotation.

Multiple Choice

What combined transformations took the red to the green?

• A translation followed by a reflection.

• A rotation followed by a translation.

• A reflection followed by a translation.

• A reflection followed by a rotation.

Open Ended

The show triangle A and its image, triangle B.

Describe the combined transformation that map triangle A to its image, triangle B.