Understanding Stretches and Shears in Geometry
Learn about the concepts of stretches and shears in geometry through visual representations and explanations. Discover how to identify stretches and shears, understand the role of invariant lines, determine scale factors, differentiate between the two transformations, and plot points in different scenarios. Gain insights into the differences between stretch and shear operations and the importance of scale factors in geometric transformations.
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Presentation Transcript
Which is which? WHICH IS A STRETCH OF THE RED SQUARE? WHICH IS A SHEAR OF THE RED SQUARE?
STRETCH WHICH IS THE INVARIANT LINE? THE STRETCH IS PARALLEL TO ..? WHAT IS THE SCALE FACTOR?
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)?
IMPORTANT STRETCH SCALE FACTORfrom invariant line = distance moved by a point divided by the distance of the shape
IMPORTANT SHEAR SCALE FACTOR