Mar 6

TRANSFORMATIONAL GEOMETRY 

Translations (slides)

Rotations (turns)

Reflections (flips)

on a coordinate plane

Pair task:

1.  Translations:

Plot trapezoid with coordinates A(-7,1) B(0,0) C(-6,-3) D(-2,-3)

Translate (6,4)

Plot and label new coordinates of translated trapezoid A'B'C'D'

2.  Rotations:

Tip:  trace & cut out shape as manipulative to rotate

Plot trapezoid with coordinates A(-4,5) B(0,5) C(-6,2) D(1,2)

Rotate 180 degrees clockwise about fixed point D (keep finger on it and turn)

Plot and label new coordinates of rotated trapezoid A'B'C'D'

3.  Reflections:

Plot pentagon with coordinates A(-8,4) B(-5,7) C(-2,7) D(-2,2) E(-5,2)

Reflect in y-axis mirror line

Plot and label new coordinates of reflected pentagon A'B'C'D'

Translation (slide) using Geometer's Sketchpad:

Rotation (turn) on a fixed coordinate using Geometer's Sketchpad:

Reflection (flip) in y-axis using Geometer's Sketchpad:

Di Croce's YouTube videos how-to use Geometer's Sketchpad for Transformational Geometry - Translations (slides), Rotations (turns) & Reflections (flips) on a coordinate plane:

https://www.youtube.com/watch?v=-ZNP-ZkQXjE&list=UU-u4mR3_H1MzpKNHdtbrnbA

https://www.youtube.com/watch?v=LN-Uvw25BEw&list=UU-u4mR3_H1MzpKNHdtbrnbA

https://www.youtube.com/watch?v=4aCw0JMwU-A&list=UU-u4mR3_H1MzpKNHdtbrnbA

We can all slide, turn & flip like a boss: