Exploring Dilations and Similarity Concepts

This video tutorial explains the concept of dilations and similarity in geometry. It begins with an analogy of eye dilation to introduce the idea of changing size without altering shape. The video covers the role of scale factor in enlarging or shrinking figures and the importance of the center of dilation. It discusses how dilations preserve angle measures and change side lengths proportionally. The tutorial also demonstrates performing dilations on a coordinate grid and reviews rigid transformations, highlighting the difference between congruent and similar figures.

What is a dilation in geometry?

• A transformation that changes the shape of a figure

• A transformation that changes the size of a figure

• A transformation that rotates a figure

• A transformation that reflects a figure

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CCSS.8.G.A.3

What is the role of the scale factor in a dilation?

• It determines the direction of translation

• It determines the angle of rotation

• It determines the axis of reflection

• It determines how much the figure is enlarged or shrunk

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CCSS.8.G.A.3

If the scale factor (K) is between 0 and 1, what happens to the figure?

• The figure is enlarged

• The figure is shrunk

• The figure is rotated

• The figure is reflected

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CCSS.8.G.A.3

What is the center of dilation?

• The point where the figure is rotated

• The point where the figure is reflected

• The point where all lines intersect after dilation

• The point where the figure is translated

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CCSS.8.G.A.3

What remains unchanged in a dilation?

• The shape of the figure

• The size of the figure

• The angle measures of the figure

• The position of the figure

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CCSS.8.G.A.3

How do side lengths change in a dilation?

• They change randomly

• They change based on the angle of rotation

• They change proportionally

• They remain the same

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CCSS.8.G.A.3

When dilating a figure about the origin, what should you do with the coordinates?

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

• Multiply each coordinate by the scale factor

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CCSS.8.G.A.3

What does it mean for points to be collinear in a dilation?

• They are parallel to each other

• They are equidistant from the center

• They form a right angle

• They lie on the same line

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CCSS.8.G.A.3

Which transformation is NOT a rigid transformation?

• Dilation

• Rotation

• Reflection

• Translation

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CCSS.HSG.CO.B.6

What makes two figures similar?

• They have the same shape and proportional side lengths

• They have the same size and shape

• They have different sizes and shapes

• They have the same size and different shapes

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6