Grade 9 Mathematical Proofs Worksheet
This worksheet focuses on fundamental concepts and methods of mathematical proofs for Grade 9 students, including direct proofs, counterexamples, and deductive reasoning.
Includes
Standards
Topics
Mathematical Proofs Basics
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. A mathematical statement that has been proven to be true is called a .
2. A specific example that disproves a statement is known as a .
3. The process of reaching a conclusion based on a set of accepted facts or premises is called reasoning.
1. All even numbers are divisible by 4.
True
False
2. The sum of two odd numbers is always an even number.
True
False
1. Prove that if x is an odd integer, then x + 1 is an even integer.
1. Disprove the statement: 'For all real numbers a and b, (a + b)² = a² + b²' by providing a counterexample.
1. In the diagram below, if line AB is parallel to line CD, prove that ∠BAC = ∠ACD.