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Name Class Date Practice 83 Proving Triangles Similar Explain why the triangles are similar. Write a similarity statement for each pair. 1. 2. 3. 4. 5. 6. 8. 9. Algebra Find the value of x. 7. 10.

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  1. Click ‘Get Form’ button to obtain the worksheet and open it in the online editor.
  2. Enter your name in the designated field labeled 'Name.' This helps personalize your worksheet.
  3. Fill in the 'Class' field with your class information to indicate which course this worksheet is for.
  4. Write the current date in the 'Date' field to ensure proper submission timelines.
  5. For each of the triangle pairs listed, provide an explanation for why the triangles are similar. Reference the properties of triangles that establish similarity.
  6. Formulate and write a similarity statement for each pair of triangles you analyzed in the previous step.
  7. For the algebra section, solve for the variable 'x' in the provided equations. Ensure you show your work in any accompanying space.
  8. In the problem regarding Natasha and the oak tree, use the information provided to calculate the height of the tree. Clearly label your answer.
  9. After completing all sections of the worksheet, review your answers for accuracy.
  10. Save your changes, then download or print the completed worksheet to submit it or share it as needed.

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AA (Angle-Angle): If triangles have two of the same angles, then the triangles are similar. SAS (Side-Angle-Side): If triangles have two pairs of proportional sides and equal included angles, then the triangles are similar.

Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS), are foolproof methods for determining similarity in triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

To prove two triangles are similar, it is sufficient to show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS).

The SAS similarity test: If the ratio of the lengths of two sides of one triangle is equal to the ratio of the lengths of two sides of another triangle, and the included angles are equal, then the two triangles are similar.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Blog
Affiliates
Contact Us
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate WorkFlow
DocHub
Instapage
Social Media
Call us now toll free:
+1 833 426 79 33
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232