2. Transformation
• is when a shape’s size or position is
changed or transformed.
• the original shape is the OBJECT.
• the changed shape is the
transformation.
5. We learn
about
enlargements!
An enlargement changes the SIZE and the POSITION
of a shape!
To enlarge a shape we need TWO things!
1. A centre or enlargement
2. A scale factor
6. • When a shape is enlarged, ALL lengths
are multiplied by the scale factor and all
angles remain UNCHANGED.
• An an example of use is a slide
projector.
8. Better?
• In this case, the
light bulb is the
centre of
enlargement!
• C. of E. is the point
from which the E. is
constructed.
9. The Scale Factor
• Is denoted by the
Let’s see it in action!
letter ‘k’ in the new
course.
• It is the number by
which the object is fun enlargements
enlarged.
http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/echalk/enlargement/intro/enlargementIntro.html
11. • Important to note that while
enlargements normally enlarge shapes
you can also decrease, reduce or make
shapes smaller.
• For example if k = 1/2 then your shape
would be half the original size!
34. Properties of enlargements
• Shape of image is the same only size
has changed.
• Angle measures remain the same.
• Image length = k (object length) OR
• k = Image length/Object length
• Area of Image = k^2 (area object) OR
• k^2 = Area of Image/Area of object
36. • 1. Choose two points on the image and
their corresponding points on the
original figure.
• 2. From each of these points on the
larger figure, draw a line to the
corresponding point on the smaller
figure.
• 3. Produce these lines until they
intersect at the point is the centre of the
enlargement.