Plotting Points and
Transformations

Warm-up
3 x 5 2 (5 x

7) 9 x

12 x

6
What is 7% of 28?
40% of 36 is what?

Plotting Points
A (5, 1)
B (-2, 4)
C (0, -4)
D (-3, -1)
E (2, 0)

E
C
Give the coordinates.
B
D
A

Find the perimeter of the rectangle formed by connected the points
A (1, 2) B (4, 2) C(1, 5) D (4, 5)

Transformations – movements of the geometric figure
Pre-image – position of the figure before the transformation.
Image – the position of the figure after the transformation.

Types of Transformations
Reflection – figure is flipped over a line

Types of Transformations
Translation – (slide) -figure is slid in any direction

Types of Transformations
Dilation – a figure is enlarged or reduced

Types of Tranformations
Rotation – a figure is turned around a point

Point P(4, 3) is translated 5 units to the left and 2 units down. Write the coordinates of the image P’.

A translation slides P (-5, -2) 8 units to the right and 4 units up, write the coordinates of the image P’.

B
What are the coordinates of the image of triangle ABC if it slides 3 units right and 2 units down?
A
C

Triangle BAC has coordinates B (3,
4), A (9, 2) and C (5, 6). State the coordinates of the image of triangle
BAC after a slide of the triangle 4 units to the left and 3 units up.

Rotation
Rotation of 180 º.

Reflection – flip over a line
Two flips is the same as rotating the original figure 180 º clockwise about the origin.

Reflect about the y-axis

Reflect about the x-axis.

Rotate the figure 180 º about the origin.

Homework
Worksheet