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Name Date Proving Triangle Congruence Guided Lesson For each set below, determine if the triangles are congruent. State the proof that needs to be used (ASA, SAS, or SSS). 1) E X Z F D Y 2) K V U.

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There are four triangle congruence shortcuts: SSS, SAS, ASA, and AAS. 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).

Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles. When you're trying to determine if two triangles are congruent, there are 4 shortcuts that will work.

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

ASA Congruence. Angle-Side-Angle. If two angle in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent.

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ... SAS (side, angle, side) ... ASA (angle, side, angle) ... AAS (angle, angle, side) ... HL (hypotenuse, leg)

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

Accoriding to ASA congruence rule when two angles and included side of one triangle is equal to two angles and included side of another side they the two triangles are congruent. But ing to AAS, two angles and one side of a triangle are equal to two angles and one side of another triangle then they are congruent.

In simple words, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each 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
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 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