Exploring Transformations: Translations and Reflections in Geometry

There are lots of things that can be done to a given a geometric figure to obtain a new one. Since a figure is transformed into a new one, these are called transformations.

A quadrilateral ABCD and its image A'B'C'D' under a transformation

Transformations are useful to describe the relationship between two figures. This lesson will discuss two particular types of transformations: translations and reflections.

Catch-Up and Review

Here are a few recommended readings before getting started with this lesson.

Coordinate Plane
Congruent Figures
Parallel Lines
Perpendicular Lines

Explore

Moving a Triangle

In the following applet, arrow

v

dictates how

△ A B C

will move to get

△ A^{'} B^{'} C^{'} .

Try changing the direction and length of the arrow to see different types of movements.

Notice how

△ A B C

and

△ A^{'} B^{'} C^{'}

are congruent and how the orientation of

△ A^{'} B

	{{ 'ml-lesson-number-slides' \| message : article.intro.bblockCount }}
	{{ 'ml-lesson-number-exercises' \| message : article.intro.exerciseCount }}
	{{ 'ml-lesson-time-estimation' \| message }}

{{ article.displayTitle }}

Catch-Up and Review