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Dilation in Geometry

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Questions and Answers

What describes the center of dilation in relation to the triangles?

It exists outside of the triangles' bounding box.

It is the intersection of the triangles' sides.

It is the point from which the triangles appear to expand. (correct)

It is located at the midpoint of the two triangles.

What can be inferred if the center of dilation is placed at (0, 0)?

The smaller triangle is congruent to the larger triangle.

Both triangles will overlap completely.

The dilation would not change the size of the triangles.

The larger triangle is a scaled version of the smaller triangle. (correct)

If the center of dilation were at (1.5, 1), what impact might this have on the triangles?

Only the larger triangle would be affected.

Both triangles would be distorted. (correct)

The triangles would maintain their proportionate sizes.

The smaller triangle remains unchanged.

What might be a consequence of shifting the center of dilation to (2, 2)?

<p>The orientation of the triangles would change.</p> Signup and view all the answers

Which point would maintain symmetry during dilation if it were the center of dilation?

<p>(0, 0)</p> Signup and view all the answers

Study Notes

Center of Dilation

The center of dilation is (1.5, 1).

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Description

This quiz explores the concept of dilation in geometry, particularly focusing on triangles. Participants will analyze the effects of various centers of dilation and their implications on symmetry and positioning. Test your understanding of these transformations and their consequences in geometric figures.