Gr 6 Math - Chp 13 - PART 3 - 13.4+13.5

GRADE 6 MATHEMATICS

Chp 13:

Transformation

of

two-dimensional shapes

​STATIONERY CHECK

• ​COURSEBOOK

• ​NOTEBOOK

• ​GRAPH BOOK

• ​PEN

• ​PENCIL

• ERASER

• RULER

Multiple Choice

What type of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What type of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What type of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What do you think this type of transformation is called?

• Rotation

• Zooming

• Enlargement

​ENLARGEMENT

​Enlargement is a type of transformation which changes the size of the object.

​It is also known as "dilation".

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​​Horizontal and vertical stretches are NOT considered enlargements.

For an object to be enlarged, all its sides must be multiplied by the same amount.

The number which multiplies the dimensions is known as the scale factor of enlargement.

Here both length and breadth have been multiplied by 2, so we say that the object has been enlarged by a scale factor of 2.

​Enlarging a shape by scale factor 2

​Exercise 13.4

Coursebook Page 107

a) ​Yes, B is an enlargement of A.

​

​b) Scale factor of enlargement is 2.

​Q2, Q3 - Task for the day

a) ​Yes, B is an enlargement of A.

​

​b) Scale factor of enlargement is 2.

a) ​No, B is not an enlargement of A as the width has doubled but the height has trebled.

a) ​No, B is not an enlargement of A as they are congruent shapes and for an enlargement the scale factor ≠ 1.

​Exercise 13.5

Coursebook Page 108

​Q1)

​Q1)

​Scale factor of enlargement = 2

So multiply all lengths by 2.

​Q2, Q3 -Task for the day

Q​4)

​​Scale factor of enlargement = 3

So multiply all lengths by 3.

​​​Q5) Scale factor of enlargement = 5

. So multiply all lengths by 5.

​OMIT

Answer: R' is incorrect. R and S are vertically in line with each other.

​R' and S' must be too, therefore, one of them must be incorrect. To get from Q to R, the coordinates are +5 in the x-direction and -2 in the y-direction. As the enlargement is a scale factor of 2, to get from Q' to R' should be +10 in the x-direction and -4 in the y-direction. But this is not the case as it is +9 in the x-direction and -4 in the y-direction.

Answer: R'(13,2)

​DISCLAIMER: THIS PRESENTATION IS FOR EDUCATIONAL PURPOSES ONLY.