Sretches and Shears

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Slide 1

Stretches and shears

Slide 2

Which is which?

WHICH IS A STRETCH OF THE RED SQUARE?

WHICH IS A SHEAR OF THE RED SQUARE?

Slide 3

Stretch

WHICH IS THE INVARIANT LINE?

THE STRETCH IS PARALLEL TO… ?

WHAT IS THE SCALE FACTOR?

Slide 4

Difference between stretch and shear

NOTICE THE ANGLES

NOTICE THE SHAPE

WHAT IS THE DIFFERENCE BETWEEN THE TWO IMAGES OF THE UNIT SQUARE ( THE BLUE IMAGE AND THE GREEN IMAGE)?

Slide 5

Plot the following points

Slide 6

Slide 7

Shear

Slide 8

Plot the following points

Slide 9

Slide 10

Important

STRETCH SCALE FACTORfrom invariant line

= distance moved by a point divided by the distance of the shape

Slide 11

IMPORTANT

SHEAR SCALE FACTOR