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Unit 5 Vocabulary - PowerPoint PPT Presentation


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Unit 5 Vocabulary. Pre-image . The original figure before undergoing a transformation. Image . The new, resulting figure after a transformation. Isometry. A transformation in which the preimage and image are congruent.

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Presentation Transcript
pre image
Pre-image

The original figure before undergoing a transformation.

image
Image

The new, resulting figure after a transformation

isometry
Isometry

A transformation in which the preimage and image are congruent.

slide5

Transformations are called RIGID if every image is congruent to its preimage.

Rigid transformations can also be referred to as an ISOMETRY.

Every segment is congruent to its image.

slide7

How do you think

this picture was drawn?

MC Esher

slide8

* Translations

(Slide your image over)

* image

* preimage

slide9

* Reflections

(Flip your image over)

* preimage

* image

slide10

* Rotations

(Turn your image about a fixed point )

* image

* preimage

slide11

Isometries not only

preserve lengths, but

they preserve angle measures

parallel lines, and

betweenness of points

parallelogram math is transformed to parallelogram love by a rotation what is the image of ht

EV

Parallelogram MATH is transformed to Parallelogram LOVE by a rotation.What is the image of HT?

M

A

E

V

L

H

T

O

congruent
Congruent

Figures are congruent if they have the same shape, size, lines, and angles.

similar triangles
Similar Triangles

Triangles are similar if they have the same shape but have different sizes.

slide17

Similar Polygons

Corresponding angles are congruent and corresponding sides are proportional

Trapezoids ABCD and EFGH are similar

ABCD ~ EFGH

A

B

E

F

List all congruent angles

H

G

D

C

Write the statement of proportionality

slide18

Determine if the polygons are similar. Justify your answer.

7

EX 4

5

6

4

6

4

5

7

NOTE: You must check for corresponding angles to be the same and for the sides to be proportional.