C - Translations Lesson

Translations

A translation slides an object across the coordinate plane. When an object is translated, the shape, size and orientation remain the same.

graph: figure ABC is translated 4 units left and 2 units up to create A1B1C1

Properties preserved when an object is Translated:
1. Distances: segment lengths do not change!
2. Angles: The angle measures do not change!
3. Parallel & Perpendicular lines remain parallel and perpendicular!
4. Midpoints: midpoints of segments do not change!
When an object is translated the ORIENTATION (order of letters) does not change!

In the image above, object ABC is moved 4 units to the left and 2 units up. One way to show this change would be equation image indicator $LaTeX: \left(x-4,\:y+2\right)$ $\left(x-4,\:y+2\right)$

1. Point A is located at (3, 2) and point A' is located at (-1, 4). If point B is located at (5, 1) and the same translation is applied, where will point B' be?

Solution: (1, 3)

2. Given that triangle DEF translation in such a way that Point D is located at (-2, 1) and point D' is located at (-5, -2). If point E is located at (1, 1) and the same translation is applied, where will point E' be? text annotation indicator

Solution: (-3, -3)

Translations Practice

IMAGES CREATED BY GAVS