Section 4.8 Translations, Rotations and Reflections

Objective: Use Geometric Transformations to create an image that is congruent to a given shape

Do Now:

Based on what you watched from the YouTube video on transformations, try the following exercise.

Section 4.8- Translations, Rotations and Reflections

Objective: Use Geometric Transformations to create an image that is congruent to a given shape

Geometric Transformations- Change in the position, shape, size or orientation of the figure

Notation: ∆ ABC → ∆ PQR indicates there was a transformation with the “arrow”

Translations

Formula: (x , y )→ (x+a , y+b) Description:

What happens to the coordinates when you translate a shape horizontally?

What happens to the coordinates when you translate a shape vertically?

Reflections

Uses a line of _______ to create a _________image

Has same size and shape but an opposite ____________

What happens to your coordinates when you reflect:

1. Over the x-axis? 2. Over the y-axis? 3. Over the liney=x?

4. Over the line y=−x?

HW: p. 276 #6-10 all, 13-15, 17, 19