1. MATIONS

2. In geometry, a TRANSFORMATIONS is an operation that reflects, moves, flips, rotates, shrinks or enlarges a shape. X

3. TRANSFORMATION operations are:
1.) Reflection

4. TRANSFORMATION operations are:
2.) Translation

5. TRANSFORMATION operations are:
3.) Rotation

6. TRANSFORMATION operations are:
4.) Dilation

7. A REFLECTION is a transformation in a line called the line of reflection. Each point of the preimage and its corresponding point on the image are the same distance from the line of reflection.

8. Preimage - ∆𝐴𝐵𝐶
Post image - ∆ 𝐴 ′ 𝐵 ′ 𝐶′

9. Horizontal Symmetry
Vertical Symmetry

10. 𝑥, 𝑦 →(𝑥,−𝑦) 𝐴 −2,1 → 𝑋 1,3 → 𝑌 2,−1 → 𝑊 −1,−2 →
𝐴 −2, →
𝑋 1, →
𝑌 2,− →
𝑊 −1,−2 →
Sketch line of reflection
Equidistant from x - axis

11. 𝑥, 𝑦 →(−𝑥,𝑦) 𝐴 −2,1 → 𝑋 1,3 → 𝑌 2,−1 → 𝑊 −1,−2 →
𝐴 −2, →
𝑋 1, →
𝑌 2,− →
𝑊 −1,−2 →
Sketch line of reflection
Equidistant from y - axis

12. Reflection over y=x 𝑥, 𝑦 →(𝑦, 𝑥) 𝐴 −2,1 → 𝑋 1,3 → 𝑌 2,−1 → 𝑊 −1,−2 →
𝐴 −2, →
𝑋 1, →
𝑌 2,− →
𝑊 −1,−2 →
Sketch line of reflection
Equidistant from y=x

13. Sketch ∆𝑋𝑌𝑍 𝑋 −5, −4 , 𝑌 −3, 0 𝑎𝑛𝑑 𝑍 −1, 2
Reflect ∆𝑋𝑌𝑍 over x=-2
Plot X, Y, and Z
Sketch the line of reflection
Find the distance from points X, Y, and Z to the line of reflection.

14. Sketch ∆𝑋𝑌𝑍 𝑋 −5, −4 , 𝑌 −3, 0 𝑎𝑛𝑑 𝑍 −1, 2
Reflect ∆𝑋𝑌𝑍 over y=-2
Plot X, Y, and Z
Sketch the line of reflection
Find the distance from points X, Y, and Z to the line of reflection.

15. A TRANSLATION is a type of transformation that moves each point in a figure the same distance in the same direction.
Translations are often referred to as slides.