Exploring Dilations and Similarity in Geometry

The video tutorial covers the concept of dilations in the coordinate plane, explaining how objects can be enlarged or reduced while maintaining their shape. It introduces the idea of scale factor, which determines the degree of enlargement or reduction. The tutorial provides a practical example of applying a scale factor to coordinates to demonstrate how figures change size. Additionally, it discusses similar triangles and how to find their coordinates using proportions, emphasizing the importance of matching corresponding sides and angles.

What is a dilation in the context of geometry?

• A transformation that rotates a figure

• A transformation that translates a figure

• A transformation that changes the size of a figure

• A transformation that changes the shape of a figure

What happens to the iris of your eye when exposed to sudden light?

• It shrinks

• It remains the same

• It changes color

• It enlarges

What is the term for the original figure before a dilation?

• Image

• Pre-image

• Scale factor

• Coordinate

What does the scale factor determine in a dilation?

• How much the figure is enlarged or reduced

• The color of the figure

• The shape of the figure

• The position of the figure

If a point (2, 4) is dilated by a scale factor of 3/2, what is the new coordinate?

• (3, 6)

• (3, 3)

• (1, 2)

• (4, 8)

What is the new coordinate of the point (-2, 1) after a dilation with a scale factor of 3/2?

• (-3, 3)

• (-3, 1.5)

• (-1, 0.5)

• (-4, 2)

What happens to a figure when it is multiplied by a scale factor greater than 1?

• It shrinks

• It rotates

• It translates

• It enlarges

How do you find the coordinates of similar triangles?

• By rotating the triangles

• By translating the triangles

• By setting up a proportion

• By using the distance formula

What is the proportion used to find the unknown coordinate D in similar triangles?

• 4/2 = 3/D

• 3/4 = 2/D

• 2/4 = D/3

• 4/3 = D/2

Which similarity criteria can be used to prove triangles are similar?

• AA, SAS, SSS

• AAA, SSA, SAS

• ASA, SSS, SAS

• ASA, AAS, SSS