Page 366 - Math Smart - 7

CHAPTER 16.1

In this chapter

Pupils should be able to:
• know that shapes
remain congruent after
translation, reflection
Investigate!
and rotation

Look at the pictures below. What do you notice about the objects in each
picture?
^ RECALL

Ashley marks the
coordinates (-1, 1), (3, 1)
and (3, -1) on a coordinate
grid. What Is the last point
she has to mark if she
wants to draw a rectangle?
'CvD V : ■/ i

Can you describe the changes or movements the objects went through?

The objects have changed positions. We say the objects have undergone a

transformation.

Types of transformation
Translation Reflection Rotation
Translation is a Reflection is a Rotation is a turn about
movement. transformation that acts a centre point.
like a mirror.
Every point of the Each point of the object Each point of the
object is moved the is reflected in the object is rotated about
same distance and in mirror line, the same a fixed point to a new
the same direction. distance away from the position in a different
mirror line {or line of orientation.
reflection)
On the chess board, the In the photograph, the In the diagram, the
knight has translated 2 Taj Mahal is reflected in triangular shape
squares up and 1 square the Yamuna River. bounded by the spokes
to the right. of the wheel is rotated
about its centre to a
new position.

UNIT 16 Transformation