7-6 Dilations and Similarity in the Coordinate Plane - GEOMETRY

The video tutorial covers the concept of dilations and similarity in the coordinate plane. It explains how dilations involve enlarging or reducing a shape while maintaining its form, using examples like optometry. The tutorial discusses preimage and image, scale factors, and how to apply them to coordinates. It also covers finding coordinates of similar triangles using proportions and matching lengths. The video concludes with methods to prove triangle similarity using congruence and similarity criteria.

What is a dilation in the context of geometry?

• A transformation that changes the size of a figure

• A transformation that changes the shape of a figure

• A transformation that translates a figure

• A transformation that rotates a figure

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

• Coordinate

• Image

• Preimage

• Scale factor

How is the scale factor used in dilations?

• It determines the rotation angle

• It determines the translation distance

• It determines how much the figure is enlarged or reduced

• It determines the color of the figure

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

• (3, 6)

• (4, 8)

• (1, 2)

• (6, 12)

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

• It becomes larger

• It rotates

• It translates

• It becomes smaller

In similar triangles, what is used to find unknown side lengths?

• Proportion

• Reflection

• Rotation

• Translation

Which of the following is a method to prove triangles are similar?

• ASA

• All of the above

• SSS

• SAS