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Geometry Worksheet C Counter Examples Name: Date: Period: Give a counterexample that disproves each conjecture below. 1) No triangles have two sides of the same length. 2) No women have been elected.

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  1. Click the ‘Get Form’ button to obtain the form and open it in your preferred online editor.
  2. Begin by entering your name in the designated field to identify the document.
  3. For each conjecture listed, provide a counterexample in the space provided. Start with the first conjecture and think critically about scenarios that would disprove it.
  4. After completing the counterexamples, you may need to simplify integer operations provided in the form as part of the review section.
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A conjecture is an “educated guess” that is based on examples in a pattern. A counterexample is an example that disproves a conjecture.

Consider the following statement: If a food is a fruit, then it is an apple. Now, consider this statement: Mango is a food. It is a fruit, but it is not an apple. Therefore, the mango is the counterexample, thereby making the first statement invalid.

A: A counterexample is an example that disproves a statement or conjecture. True or false: A counterexample proves a statement or conjecture to be true.

To show that a conjecture is true, you must show that it is true for all cases. You can show that a conjecture is false, however, by finding just one counterexample. A counterexample is a specific case for which the conjecture is false.

Even if a counterexample is not found, it does not mean that the conjecture is true. It is not possible to try all the possible cases, so it is not possible to prove a conjecture. On the other hand, one counterexample can disprove a conjecture. Once a counterexample has been found, the conjecture is invalid.

A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.

Vocabulary Language: English ▼ Spanish English TermDefinitionconjectureA conjecture is an educated guess that is based on examples in a pattern.counterexampleA counterexample is an example that disproves a conjecture.1 more row • Feb 24, 2012

You could prove him wrong, or disprove his conjecture, by offering a counterexample. Say your friend, John, is a guy and does not play sports. Just one counterexample is enough to disprove your brother's conjecture.

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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
Privacy Notice
Legal Hub
Content Takedown Policy
Bug Bounty Program
About Us
Help Portal
Legal Resources
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