Reflection

A reflection is a

 

 

transformation which maps

 

an object or set of points

 

onto its mirror image, where

 

the mirror is either a point or

 

a line. A reflection through a

 

point is sometimes called a

 

half-turn. In either case, each

 

point on the mirror image is the same distance from the mirror

 

as the corresponding point on the original. In the example at

 

the right, the original triangle D is reflected through point I.

 

1.

Tap

and select Reflection.

 

2. Tap the point or straight object (segment, ray, or line) that

 

 

will be the symmetry axis (that is, the mirror) and press

 

 

E.

 

 

3. Tap the object that is to be reflected across the symmetry

 

 

axis and press E. The object is reflected across the

 

 

symmetry axis defined in step 2.

Dilation

A dilation (also called a homothety or uniform scaling) is a

 

transformation where an object is enlarged or reduced by a

 

given scale factor around a given point as center.

 

In the illustration at the right,

 

the scale factor is 2 and the

 

center of dilation is

 

indicated by a point near the

 

top right of the screen

 

(named I). Each point on the

 

new triangle is collinear with

 

its corresponding point on

 

the original triangle and point I. Further, the distance from

 

point I to each new point will be twice the distance to the

 

original point (since the scale factor is 2).

 

1.

Tap

and select Dilation.

2. Tap the point that is to be the center of dilation and press E.

3. Enter the scale factor and press E.

4. Tap the object that is to be dilated and press E.

162

Geometry

Page 166
Image 166
HP Prime Graphing NW280AAABA Tap Select Reflection, Axis and press E. The object is reflected across, Scale factor is 2