Dilation in Geometry

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

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. (A)</p> Signup and view all the answers

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

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

Flashcards

Dilation

A transformation that changes the size of a figure but not its shape.

Center of dilation

The fixed point from which all points of a figure are dilated.

Scale factor

The ratio of corresponding side lengths of the image and pre-image in a dilation.

Pre-image

The original figure in a dilation.

Signup and view all the flashcards

Image

The resulting figure after a dilation.

Signup and view all the flashcards

Study Notes

Center of Dilation

  • The center of dilation is (1.5, 1).

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser