Example Similarity Definition Similar Figures Two Figures are similar if they have the same shape but different size No matter how you enlarge or reduce the size of the figure, the shape does not change Properties of Similar figures Similar Triangles Statement of Similarity Properties of Similar Triangles Side Side Side (SSS) Side Angle Side (SAS) Angle Angle Angle (AAA) Angle Angle Angle (AAA) Side Angle Side (SAS) Side Side Side (SSS) If you observe, each new figure is of the same shape of the original but of a different size Property 1: Corresponding Angles

are Equal Measure the angles Property 2: Ratio of

Corresponding Sides are equal Measure the

lengths Lets look at the Proves

for

Similar Triangles Property 1: Each pair of corresponding angles

are Equal Property 2: Ratio of each pair of corresponding Sides are equal (S) (S) (S) Side Side Side (SSS) Side Angle Side (SAS) Angle Angle Angle (AAA) Area of Similar Figures Volume of Similar Solids Maps and Scales Summary If two triangles share the same base, ratio of their area will be the ratio of their respective heights If two triangles share the same Height,

ratio of their area will be the ratio of their respective bases Example Area of Maps Example 2

### Present Remotely

Send the link below via email or IM

CopyPresent to your audience

Start remote presentation- Invited audience members
**will follow you**as you navigate and present - People invited to a presentation
**do not need a Prezi account** - This link expires
**10 minutes**after you close the presentation - A maximum of
**30 users**can follow your presentation - Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

### Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.

You can change this under Settings & Account at any time.

# Similar Figures and Triangles

No description

by

Tweet