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Read the following conjectures and decide if they are true or false: • Angles that are adjacent angles share a vertex. • All right angles are supplementary angles. • The square of all odd numbers is an odd number • The product of an even number and odd number is even Counterexamples:

User Tom Imrei
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1 Answer

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1) Angles that are adjacent share a common vertex = True

Points to know about adjacent angles:

They have a side in common

They have a common vertex

They do not overlap

2) All right angles are supplementary angles = False

Right angles = 90 degrees (they are complementary)

3) The square of all odd numbers is an odd number = True

All odd numbers take the form 2n + 1 (notice the offshoot of 1)

The square of odd numbers will be :

(2n + 1) ² = 4n ² + 4n + 1 (this also has an offshoot of 1)

This means that both an odd number and its square are odd

4) The product of an even number and an odd number is even = True

User Drewdin
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