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Worksheet 4.4 4.5 SSS, SAS, ASA AAS, HL PROOFS 1 Geometry Regular Name Date Mod Score out of 4 State what additional information is necessary to prove the triangles congruent by the indicated method.

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  2. Begin by entering your name in the designated field at the top of the form where it states 'Name _____________________'.
  3. Next, fill in the date by writing the appropriate date in the space provided on the form: 'Date _____________'.
  4. Indicate your class module by completing the 'Mod ____' section to ensure proper identification.
  5. Assess your understanding of the material by reflecting on the scoring section labeled 'Score _____ out of 4'. This is where your performance will be evaluated.
  6. For the proofs required, you will see several lines labeled with numbers (1. to 12.). For each, write the additional information necessary to demonstrate that the triangles are congruent according to the indicated method.
  7. For numbered items 10 to 12, carefully consider the given conditions and write your proofs in the blank spaces provided.
  8. Once you have completed all sections of the form, review your entries to ensure accuracy and completeness.
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SSS Postulate (Side-Side-Side) If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS). Another shortcut is side-angle-side (SAS), where two pairs of sides and the angle between them are known to be congruent.

SSS (Side-Side-Side) If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.

SSS (side, side, side) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

2:49 8:40 Triangle Congruence - SSS, SAS, ASA and AAS 128-2.16 - YouTube YouTube Start of suggested clip End of suggested clip And another pair of sides are congruent now that angle has to be between those two sides. So thisMoreAnd another pair of sides are congruent now that angle has to be between those two sides. So this these angles are called the included angle.

Consider the triangles below. In these triangles, we can see that all three pairs of sides are congruent. This is commonly referred to as "side-side-side" or "SSS". The SSS criterion for triangle congruence states that if two triangles have three pairs of congruent sides, then the triangles are congruent.

The SSS postulate applies to triangles that have the same measurements for corresponding sides. An example would be a triangle that has side lengths 3, 4, and 5 and a triangle that has side lengths 4, 3, and 5.

The SSS Theorem states that two triangles are congruent if and only if the three sides of one triangle are congruent to the three sides of the other triangle.

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© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232
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