9-0 Isometries

9-0 Isometries - (Congruence Transformation) In a plane, an...

This preview shows pages 1–11. Sign up to view the full content.

Isometries

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Definition of Transformation In a plane, a mapping is a transformation if each preimage point has exactly one image point, and each image point has exactly one preimage point.
Types of Transformations dilation A figure can be enlarged or reduced. preimage image

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
rotation – A figure can be turned. preimage image
Translation - A figure can be slid. preimage image

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
reflection – A figure can be flipped. preimage image
When a geometric figure and its transformation image are congruent, the mapping is called an isometry or a congruence transformation.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Defn. of Isometry

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (Congruence Transformation) In a plane, an isometry is a transformation that maps every segment to a congruent segment. The symbol is used to indicate a mapping. For example, means each point in is mapped onto exactly one point of When a figure and its transformation image are similar, the mapping is called a similarity transformation. PQR ABC ABC . PQR Joke Time Whats a quick way to double your money? You fold it! What does a pickle say when he wants to play cards? Dill me in!...
View Full Document

This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

Page1 / 11

9-0 Isometries - (Congruence Transformation) In a plane, an...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online