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Unit 5 Transformations

Today’s topic: translations

Standard COS 6: Use geometric descriptions of rigid motions to transform figures.

Jobs used in: Computer and information systems, engineering (all types), constructions, funeral directors

Vocabulary

Transformation: a change in the position, shape, or size of a geometric figure.Preimage: the original figure in a transformation.Image: the figure after the transformationRigid motion: a transformation that preserves distance and angle measure.

Example 1: Identifying Rigid Motion

Does the transformation appear to be a rigid motion. Explain

Preimage image

Examples, you try

Does the transformation appear to be a rigid motion? Explain

Example 2: Naming images and corresponding parts

In the diagram EFGH E’F’G’H’What are the images ofAngle f and angle h?

What are the pairs of corresponding sides?

Example, you tryIn the diagram NID SUPWhat are the images of Angle I and point D?

What are the corresponding sides?

Translation

A translation is a transformation that maps all points of a figure the same distance in the same direction.Example:

Finding the image of a translation

What are the vertices of T ( PQR)? Graph the image of PQR

Example, you try

What are the vertices of T ( ABC)? Graph the image of ABC

Writing the rule to describe a translation

LMN’s translation is L’M’N’with L’ (1, -2) M’(3, -4) N’(6, -2)

What is a rule that describes the translation?

Assignment

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