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mathematicsprinted 120 · PDF 121
165 pagesrevision 46935
printed 120 · PDF 121
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STEP 1:
From a point on the original object measure the perpendicular distance to the mirror
line
STEP 2:
Continuing from that point on the mirror line, and in the same direction, measure the
same distance again
STEP 3:
Mark the corresponding point on the reflected image at the position you have
reached
STEP 4:
Join together the reflected points and label the reflected image
1. Vertical lines (of the form x=k, for some number k)
The perpendicular distance can be found by counting the number of squares
horizontally from a point on the original object until you reach the mirror line
2. Horizontal lines (of the form y=k, for some number k)
The perpendicular distance can be found by counting the number of squares
vertically from a point on the original object until you reach the mirror line
3. Diagonal lines (of the form y=mx+c, see straight line graphs)
Reflecting in diagonal lines can be much tricker
The perpendicular distance can be measured directly using a ruler
You can also count the number of squares horizontally and vertically until you reach
the mirror line, e.g. 2 to the right, 3 down, then from the same point on the mirror
line, count the number of squares vertically that was the previous horizontal distance
and count the number of squares horizontally that was the previous vertical distance,
e.g. 3 to the right, 2 down
4. Double Reflections
Double reflections are where the mirror line passes through the shape being
reflected
Part of the shape gets reflected on one side of the mirror line, the other part gets
reflected on the other side
How can I describe reflection?
State that the transformation is a reflection
Give the mathematical equation of the mirror line
Rotation:
Isometric
How can we rotate the shape?
The easiest way to draw a rotation is to use tracing paper, this should be available to
you in an exam but you may have to ask an invigilator for it