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Page 1
350 UNiT 9: TrANSFOrMATiONS
Unit 9
t r Ansform Ations 9.1 Making larger copies of figures
1. (a) How do the three figures differ?
(b) What is the same about the three figures?
Figure A
Figure B
Figure B is 2 times as large as Figure A.
Figure C is 3 times as large as Figure A.
Figure C is 1
1
2
times as large as Figure B.
Figure C
Note that each figure is a combination of two quadrilaterals.
Figures B and C are called enlargements of Figure A.
We can also say:
• Figure A is enlarged by a scale factor of 2 to make Figure B.
• Figure A is enlarged by a scale factor of 3 to make Figure C.
• Figure B is enlarged by a scale factor of 1,5 to make Figure C.
2. (a) Can you think of a way to enlarge this figure by
a scale factor of 2, in other words to accurately
draw it twice as large? Describe your plan.
(b) Can you think of a way to enlarge it by a scale
factor of 4? Describe your plan.
Maths_English_LB_Grade6_Book.indb 350 2016/12/15 4:22:25 PM
Page 2
350 UNiT 9: TrANSFOrMATiONS
Unit 9
t r Ansform Ations 9.1 Making larger copies of figures
1. (a) How do the three figures differ?
(b) What is the same about the three figures?
Figure A
Figure B
Figure B is 2 times as large as Figure A.
Figure C is 3 times as large as Figure A.
Figure C is 1
1
2
times as large as Figure B.
Figure C
Note that each figure is a combination of two quadrilaterals.
Figures B and C are called enlargements of Figure A.
We can also say:
• Figure A is enlarged by a scale factor of 2 to make Figure B.
• Figure A is enlarged by a scale factor of 3 to make Figure C.
• Figure B is enlarged by a scale factor of 1,5 to make Figure C.
2. (a) Can you think of a way to enlarge this figure by
a scale factor of 2, in other words to accurately
draw it twice as large? Describe your plan.
(b) Can you think of a way to enlarge it by a scale
factor of 4? Describe your plan.
Maths_English_LB_Grade6_Book.indb 350 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 351
This kite was drawn on a 0,5 cm grid.
To enlarge the kite by a scale factor of 3,
you can draw it on 1,5 cm grid paper.
3. (a) Put a clean sheet of paper over the 1,5 cm grid on the next page,
and use your ruler to copy the grid.
(b) Enlarge the above kite by a scale factor of 3 by drawing it
on your 1,5 cm grid. You may look at Figures A, B and C on the
previous page to see how this can be done.
(c) Find a grid on the next two pages that you can use to enlarge
the above kite by a scale factor of 2. Copy the grid and draw the
enlargement.
These figures are not called enlargements
of the kite at the top right of the page,
because the shapes of these kites are
different than the shape of the one at
the top.
Maths_English_LB_Grade6_Book.indb 351 2016/12/15 4:22:25 PM
Page 3
350 UNiT 9: TrANSFOrMATiONS
Unit 9
t r Ansform Ations 9.1 Making larger copies of figures
1. (a) How do the three figures differ?
(b) What is the same about the three figures?
Figure A
Figure B
Figure B is 2 times as large as Figure A.
Figure C is 3 times as large as Figure A.
Figure C is 1
1
2
times as large as Figure B.
Figure C
Note that each figure is a combination of two quadrilaterals.
Figures B and C are called enlargements of Figure A.
We can also say:
• Figure A is enlarged by a scale factor of 2 to make Figure B.
• Figure A is enlarged by a scale factor of 3 to make Figure C.
• Figure B is enlarged by a scale factor of 1,5 to make Figure C.
2. (a) Can you think of a way to enlarge this figure by
a scale factor of 2, in other words to accurately
draw it twice as large? Describe your plan.
(b) Can you think of a way to enlarge it by a scale
factor of 4? Describe your plan.
Maths_English_LB_Grade6_Book.indb 350 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 351
This kite was drawn on a 0,5 cm grid.
To enlarge the kite by a scale factor of 3,
you can draw it on 1,5 cm grid paper.
3. (a) Put a clean sheet of paper over the 1,5 cm grid on the next page,
and use your ruler to copy the grid.
(b) Enlarge the above kite by a scale factor of 3 by drawing it
on your 1,5 cm grid. You may look at Figures A, B and C on the
previous page to see how this can be done.
(c) Find a grid on the next two pages that you can use to enlarge
the above kite by a scale factor of 2. Copy the grid and draw the
enlargement.
These figures are not called enlargements
of the kite at the top right of the page,
because the shapes of these kites are
different than the shape of the one at
the top.
Maths_English_LB_Grade6_Book.indb 351 2016/12/15 4:22:25 PM
352 UNiT 9: TrANSFOrMATiONS
0,25 cm grid
0,5 cm grid
1,5 cm grid
Maths_English_LB_Grade6_Book.indb 352 2016/12/15 4:22:25 PM
Page 4
350 UNiT 9: TrANSFOrMATiONS
Unit 9
t r Ansform Ations 9.1 Making larger copies of figures
1. (a) How do the three figures differ?
(b) What is the same about the three figures?
Figure A
Figure B
Figure B is 2 times as large as Figure A.
Figure C is 3 times as large as Figure A.
Figure C is 1
1
2
times as large as Figure B.
Figure C
Note that each figure is a combination of two quadrilaterals.
Figures B and C are called enlargements of Figure A.
We can also say:
• Figure A is enlarged by a scale factor of 2 to make Figure B.
• Figure A is enlarged by a scale factor of 3 to make Figure C.
• Figure B is enlarged by a scale factor of 1,5 to make Figure C.
2. (a) Can you think of a way to enlarge this figure by
a scale factor of 2, in other words to accurately
draw it twice as large? Describe your plan.
(b) Can you think of a way to enlarge it by a scale
factor of 4? Describe your plan.
Maths_English_LB_Grade6_Book.indb 350 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 351
This kite was drawn on a 0,5 cm grid.
To enlarge the kite by a scale factor of 3,
you can draw it on 1,5 cm grid paper.
3. (a) Put a clean sheet of paper over the 1,5 cm grid on the next page,
and use your ruler to copy the grid.
(b) Enlarge the above kite by a scale factor of 3 by drawing it
on your 1,5 cm grid. You may look at Figures A, B and C on the
previous page to see how this can be done.
(c) Find a grid on the next two pages that you can use to enlarge
the above kite by a scale factor of 2. Copy the grid and draw the
enlargement.
These figures are not called enlargements
of the kite at the top right of the page,
because the shapes of these kites are
different than the shape of the one at
the top.
Maths_English_LB_Grade6_Book.indb 351 2016/12/15 4:22:25 PM
352 UNiT 9: TrANSFOrMATiONS
0,25 cm grid
0,5 cm grid
1,5 cm grid
Maths_English_LB_Grade6_Book.indb 352 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 353
1,25 cm grid
0,75 cm grid
1 cm grid
Maths_English_LB_Grade6_Book.indb 353 2016/12/15 4:22:25 PM
Page 5
350 UNiT 9: TrANSFOrMATiONS
Unit 9
t r Ansform Ations 9.1 Making larger copies of figures
1. (a) How do the three figures differ?
(b) What is the same about the three figures?
Figure A
Figure B
Figure B is 2 times as large as Figure A.
Figure C is 3 times as large as Figure A.
Figure C is 1
1
2
times as large as Figure B.
Figure C
Note that each figure is a combination of two quadrilaterals.
Figures B and C are called enlargements of Figure A.
We can also say:
• Figure A is enlarged by a scale factor of 2 to make Figure B.
• Figure A is enlarged by a scale factor of 3 to make Figure C.
• Figure B is enlarged by a scale factor of 1,5 to make Figure C.
2. (a) Can you think of a way to enlarge this figure by
a scale factor of 2, in other words to accurately
draw it twice as large? Describe your plan.
(b) Can you think of a way to enlarge it by a scale
factor of 4? Describe your plan.
Maths_English_LB_Grade6_Book.indb 350 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 351
This kite was drawn on a 0,5 cm grid.
To enlarge the kite by a scale factor of 3,
you can draw it on 1,5 cm grid paper.
3. (a) Put a clean sheet of paper over the 1,5 cm grid on the next page,
and use your ruler to copy the grid.
(b) Enlarge the above kite by a scale factor of 3 by drawing it
on your 1,5 cm grid. You may look at Figures A, B and C on the
previous page to see how this can be done.
(c) Find a grid on the next two pages that you can use to enlarge
the above kite by a scale factor of 2. Copy the grid and draw the
enlargement.
These figures are not called enlargements
of the kite at the top right of the page,
because the shapes of these kites are
different than the shape of the one at
the top.
Maths_English_LB_Grade6_Book.indb 351 2016/12/15 4:22:25 PM
352 UNiT 9: TrANSFOrMATiONS
0,25 cm grid
0,5 cm grid
1,5 cm grid
Maths_English_LB_Grade6_Book.indb 352 2016/12/15 4:22:25 PM
GrADe 6: MATheMATiCS [TerM 4] 353
1,25 cm grid
0,75 cm grid
1 cm grid
Maths_English_LB_Grade6_Book.indb 353 2016/12/15 4:22:25 PM
354 UNiT 9: TrANSFOrMATiONS
4. (a) Use your ruler to accurately draw a
rectangle with sides of 6 cm and 8 cm
on square grid paper. Make sure that
your rectangle is “square” and not
skew like the red quadrilateral.
(b) Draw a straight line between two vertices
(corners) of your rectangle. This line is
called a “diagonal”, and it divides your
rectangle into two triangles.
(c) Measure the length of the diagonal.
5. The side lengths of some rectangles are given in (a) to (d) below.
Which of these rectangles do you think are enlargements of the
rectangle you have just drawn?
(a) 9 cm and 1 1 cm (b) 9 cm and 12 cm
(c) 14 cm and 16 cm (d) 12 cm and 16 cm
6. Accurately draw rectangles with the above dimensions. In each case
draw a diagonal as well, and measure the length of the diagonal.
Check the prediction you made in question 5. This will be easier and
quicker to do if you work on 1 cm grid paper.
7. (a) Use your results to the above questions to complete the table
below. Predict what the lengths of the diagonals will be in the
two rectangles that you have not drawn as yet, namely D and E.
A B C D E
Length of rectangle 8 12 16 20 24
Width of rectangle 6 9 12 15 18
Length of diagonal
(b) Draw Rectangles D and E accurately, and measure the diagonals
to check your predictions.
8. This question is again about the rectangles you have drawn.
(a) Which rectangle (B, C, D or E) is 2,5 times as large as A?
(b) Which rectangle is one third as large as E?
(c) Which rectangle is 0,5 times as large as E?
Maths_English_LB_Grade6_Book.indb 354 2016/12/15 4:22:25 PM
Read More
FAQs on Textbook: Transformations (Term 4) - Mathematics for Grade 6
| 1. What are transformations in mathematics? |  |
Ans.Transformations in mathematics refer to operations that change the position, size, or shape of a figure on a coordinate plane. The main types of transformations include translations (slides), rotations (turns), reflections (flips), and dilations (resizing).
| 2. How do you perform a translation on a shape? | |
Ans.To perform a translation on a shape, you move every point of the shape the same distance in a specified direction. For example, if you want to translate a triangle 3 units to the right and 2 units up, you would add 3 to the x-coordinates and 2 to the y-coordinates of each vertex of the triangle.
| 3. What is the difference between reflection and rotation in transformations? | |
Ans.Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape. On the other hand, rotation involves turning a shape around a fixed point by a certain angle. The original shape and its reflection are congruent, while a rotated shape may or may not be congruent depending on the angle of rotation.
| 4. How do you identify the center of rotation? | |
Ans.The center of rotation is the fixed point around which a shape is rotated. To identify it, you can draw lines from the center point to corresponding points on the original shape and the rotated shape. The lines should be equal in length and form the same angle with the horizontal line.
| 5. What are dilations, and how do they affect the size of a shape? | |
Ans.Dilations are transformations that resize a shape either larger or smaller, while maintaining its shape. They are determined by a scale factor. If the scale factor is greater than 1, the shape enlarges; if it is between 0 and 1, the shape shrinks. The center of dilation is the point from which the size changes are measured.
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Sep 06, 2025
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