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Lesson 11.4 Corresponding Parts of Similar Triangles Name Period Date All measurements are in centimeters. 1. ABC PRQ. M and N 2. The triangles are similar. are midpoints. Find h and j. Find the length.

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Parts of two triangles can be proportional; if two triangles are known to be similar then the perimeters are proportional to the measures of corresponding sides. Continuing, if two triangles are known to be similar then the measures of the corresponding altitudes are proportional to the corresponding sides.

If two triangles are similar ,then the ratio of their corresponding sides and altitude are also same. Therefore the ratio of the altitude is 2:3.

In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.

Concept: The ratio of perimeters of two similar triangles is equal to the ratio of their corresponding sides.

Congruent triangles have both the same shape and the same size. In the figure below, triangles A B C ‍ and D E F ‍ are congruent; they have the same angle measures and the same side lengths. Similar triangles have the same shape, but not necessarily the same size.

Lesson Summary Similar triangles have corresponding angles that are congruent or the same measure. Similar triangles have corresponding sides that are proportional or related to one another in a constant ratio. Corresponding means the angles and sides are in the same position on the shape.

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

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© Copyright 1997-2025
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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
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
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 workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
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