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Transformations unit
Basic transformations: translations, reflections, dilations, similar & congruent figures
19
Mathematics
7th Grade
03/21/2011

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Term

 

Congruent polygons

 

Definition

 

Polygons that have congruent corresponding angles & congruent corresponding sides.

Term

Find the measure of angle s:

[image]

Definition
124
Term
Similar Polygons
Definition

 

The corresponding angles are equal.

 

The corresponding side lengths are proportional.

Term

 

A Translation

Definition

 

Is a transformation that moves each point of a figure the same distance in the same direction.

Term

 

Slide to the right a units

Definition

 

x  → x+a

Term

 

Slide up b units

Definition

 

y → y+b

Term

 

Slide to the left a units

Definition

 

x   → x-a

Term

 

Slide down b units

Definition

 

y → y-b

Term

 

Reflections in the x-axis

Definition

 

(x, y) → (x,-y)

Term

 

Reflections in the y-axis

Definition

 

(x,y)  → (-x,y)

Term
Dilations
Definition

P(x,y)  → P´(kx,ky)   

Where k is the scale factor

Term
Congruent Polygons
Definition
Polygons that have corresponding angles and corresponding sides that are congruent.
Term
Corresponding Parts
Definition
Are in the same position in different figures
Term
Transformation
Definition
is an operation that changes a figure into another figure
Term
Translation
Definition
is a transformation that moves each point of a figure the same distance in the same direction
Term
Reflection
Definition
A transformation that creates a mirror image of each point of a figure
Term
Line of reflection
Definition
when you reflect a figure in a line the line is the line of reflection
Term
Line symmetry
Definition
if one half of the figure is a mirror image of the ther half, then the figure has line symmetry
Term
Dilation
Definition
a transformation that stretches or shrinks a figure
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