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NameClassDate46 Geometry Practice Congruence in Right Triangles by HL 1. Complete the paragraph proof.Given: RT SU , RU RS Prove: RUT RST Proof: It is given that RT SU . So, and are angles because.

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Conclusion. In this article we learn, the adjective equal is frequently used instead of congruent Two line segments are congruent if their lengths are the same. If two angles have the same measure, they are congruent. Two circles are congruent if their diameters are the same.

Right triangles have a special congruence postulate: The hypotenuse-leg (HL) theorem states that if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

Hypotenuse-Leg Similarity If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

What do congruent and similar mean? 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.

Congruent figures are the same size and shape. Answer: Congruent figures have the exact same size and shape. Even when reflected, rotated, or translated, their size and shape remain identical.

Hypotenuse-Leg (HL) Triangle Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Congruent Figures: Given two figures, if the corresponding sides and the corresponding angles are congruent, then the figures are congruent.

Two shapes are congruent if they have the same shape and size. We can also say if two shapes are congruent, then the mirror image of one shape is the same as the other.

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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