Geometry: Dilation and Triangles

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5 Questions

What is the center of dilation in a dilation?

The fixed point about which the figure expands or shrinks

How do you find the scale factor of a dilation?

By comparing the side lengths of the original figure to the corresponding side lengths of the dilated figure

In a dilation, what type of transformation preserves angles but changes side lengths?

Dilation

How can you determine the type of dilation based on its scale factor?

If the scale factor is greater than 1, it is an enlargement; if it is between 0 and 1, it is a reduction.

What is the rule for dilating a figure with coordinates (x, y) by a scale factor of k?

The new coordinates are (kx, ky)

Test your knowledge on dilations, including identifying the center, finding the scale factor, determining the type of dilation, applying rules, working with coordinates, and drawing dilated triangles. Explore triangle properties such as finding interior angles given different information and proving proportional relationships using tables, points, and graphs.

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