1.
Warm Up 6.3
Complete the chart for the given counterclockwise rotations about the origin.
90o
180o
270o
R(3, -3)
S(1, 4)
Use matrix multiplication to find the coordinates of the image formed by rotating counterclockwise about the origin.

2. Apply compositions of transformations (9.5)
Unit 6: Transformations
Target 6.3
Apply compositions of transformations (9.5)

3. Sometimes we want to perform two or more transformations on a given preimage. We call this a ______________________ of transformations.
Translation: (x, y)  (x – 7, y)
Reflection: in the x-axis
Preimage
Image 1
Image 2
A(3, 2)
B(6, 3)
C(7, 1)

4. Reflection: in the y-axis Rotation: 270o Preimage Image 1 Image 2
Reflection: in the y-axis
Rotation: 270o
Preimage
Image 1
Image 2
R(1, -3)
S(2, -6)
T(4, -4)

5. Is the image formed after doing a series of translations, reflections, and rotations congruent to the original preimage?
Does the order you perform the transformations in matter? Try doing the previous example in the reverse order.
Rotation: 270o
Reflection: in the y-axis
Preimage
Image 1
Image 2
R(1, -3)
S(2, -6)
T(4, -4)

6. Describe the rules for the composition of transformations.