chapter 3:
TRANSFORMATIONS III Subtopic 3.1C Drawing the image for combination of two transformations 3.1D Stating the coordinates of the image under combined transformations
Learning Outcomes At the end of this lesson, you should be able: To draw the image under combination of two transformations To state the coordinates of the image of a point under combined transformations
Let’s recall!!
Example: − 4 T = Translation 3 E = Enlargement at the origin with a scale factor of 2 R = Rotation through 90º anticlockwise about (-1,2) P = Reflection in the line x = -1
Given,
Draw an image for object A under the following combined transformations. (a) TR (b) PE
6
4
2
-5
A
5
-2
-4
ACTIVITY ONE 3 Translation − 5
Given, T = P = Reflection in the line y = x R = Rotation through 90º clockwise about (0, 1) and E = Enlargement at (1, -1) with a factor scale factor of 2 Draw the image of object M: a) TP b) PR c) PE
10
8
6
C B
A
-10
D
M
4
E F
2
-5
5
-2
-4
10
Worksheet Given P is a reflection in the line y = 2, T is a Translation 3 , R is a rotation through 90º 2
anticlockwise at (-3, 0) and E is an enlargement at ( -2,-2) with a scale factor of 2. Draw the image of V and find the coordinates of S (-6,-4) under the following combined transformations. a) TP b) RE c) RT
8
6
4
2
-10
-5
5
-2
V S(-6,-4)
-4
-6
-8
10
Summary: REFLECTION TRANSLATION
Drawing the image
P
T OIN
O
AG M I F
E
Stating the coordinates
RO
TAT
ENG
LAR
ION
GEM ENT
Before end our class, I want to say…
Selamat Hari Raya Aidilfitri