1. Warm up
Dilate P(-12, -12) using
Rotate Q(-1, -3) 90
𝐤= 𝟏 𝟑

2. Review Homework

3. Glide Reflections and Compositions

4. Compositions
When two or more transformations are combined to produce a single transformation
The composition of 2 (or more) isometries is an isometry.

5. Glide Reflections Combining a translation with a reflection
If the line of reflection is parallel to the direction of translation, then it does not matter which you do first. Otherwise, order is important.
In the long run, just do the first one first and the second one second.

6. 1. Finding the Image of a Composition
Perform the Glide Reflection on A(–3, 5).
A’(–6, 3)
A’’(3, –6)

7. 2. Finding the Image of a Composition
Perform the following composition on
C(2, 0), D(3, 3)
C’(2, 0), D’(3, –3)
C’’(0, –2), D’’(–3, –3)

8. 3. Finding the Image of a Glide Reflection
Use the information below to sketch the image of QRS
after a glide reflection. Q(2, –3), R(4, –4), and S(5, –1)
Q’’(-2, 2), R’’(-4, 1), & S’’(-5, 4)

9. 4. Describing the composition
Rotation of 180° around the origin
Reflection across y = 1

10. 5. Describing the composition
Reflection across the line y = x
Translate<1,5>

11. Plickers
Consider the pre-image triangle with vertices A(1,2), B(3,1), and C(1,1).
Find the image of the point A given
the following transformations:
Rotation 90⁰ about the origin
Reflection over the x-axis A B C
𝑨. 𝑨 ′′ 𝟐,𝟏
𝑪. 𝑨 ′′ −𝟐,𝟏
𝑩. 𝑨 ′′ 𝟐,−𝟏
𝑫. 𝑨 ′′ −𝟐,−𝟏

12. Combinations of Transformations Practice WS
Class Work
Combinations of Transformations Practice WS