Extra Practice

In your notes or on your own piece of paper write the Statement, Conjecture, Hypothesis, and Conclusion. State whether the conjecture is valid stating a reason for your answer.

1. If the side lengths of a triangle are 6 cm, 8 cm and 10 cm, then the triangle is a scalene triangle.
• Statement:
• Conjecture:
• Hypothesis:
• Conclusion:
• Validity of Conjecture:
• Reasoning:

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• Statement: Δ ABC is a scalene triangle
• Conjecture: Δ ABC has side lengths of 6 cm, 8 cm and 10 cm
• Hypothesis: the side lengths of a triangle are 8 cm, 10 cm and 14cm
• Conclusion: the triangle is a scalene triangle
• Validity of Conjecture: The conjecture is not valid.
• Reasoning:

✓The statement matches the conclusion

✓Counter Example: a scalene triangle can have a variety of side lengths

✓According to the table the hypothesis could be true or false;

✓The hypothesis has to be true for it to be valid.