Geometry: Translations

Today we will be exploring translations and using manipulatives to see the effect of translations on figures.

Introduction Questions

What is a translation?

What needs to change in order for a figure to be translated?

Experimentation

In the next section, look at what you must change in order to translate a figure.

Experiment by moving the purple arrow (vector) around. Then look at the coordinate points of the new figure and how they've changed.

Are the preimage and the image the same size and shape regardless of the orientation of the vector?

No Yes

The purple arrow (vector) had a label of its change in x and change in y. Changing the vector changed the location of the new figure. How did the value of the ordered pair change the values of the points?

How does changing the x value of the vector change the position of the image?

It moves the image left and right It moves the image up and down It rotates the image It makes the image larger and smaller

How does changing the y value of the vector change the position of the image?

It moves the image left and right It rotates the image It makes the image larger and smaller It moves the image up and down

If we can say the values of the vector are (X, Y), let's generalize translations. For any shape, the translation can be generalized as (x,y)-->(_____,_____). (Fill in the blanks of the new coordinate pair)

(x,y)-->(x-Xv, y-Yv) (x,y)-->(Xv, Yv) (x,y)-->(x+Xv, y+Yv)

Geometry: Translations

Introduction Questions

Experimentation

Experiment by moving the purple arrow (vector) around. Then look at the coordinate points of the new figure and how they've changed.

Information: Geometry: Translations