The following three terms are used in geometry:
Corollary Proof Axiom
Write each of these terms in the table below to match each term to its description - Junior Cycle Mathematics - Question 9 - 2017
Question 9
The following three terms are used in geometry:
Corollary Proof Axiom
Write each of these terms in the table below to match each term to its description.
A st... show full transcript
Worked Solution & Example Answer:The following three terms are used in geometry:
Corollary Proof Axiom
Write each of these terms in the table below to match each term to its description - Junior Cycle Mathematics - Question 9 - 2017
Step 1
A statement that is accepted without proof.
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Answer
Axiom
Step 2
A statement that follows easily from a previous statement.
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Answer
Corollary
Step 3
An argument showing that a statement must be true.
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Answer
Proof
Step 4
If a shape has four right angles, then
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Answer
it must be a square.
Step 5
Is the converse of Salem's statement true or false? Justify your answer.
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Answer
False.
Justification: A rectangle has four right angles but might not be a square.
Step 6
Diagram:
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Answer
Let ABCD be a parallelogram.
Step 7
Given:
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Answer
Parallelogram ABCD.
Step 8
To Prove:
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Answer
|AB| = |CD| and |BC| = |AD|.
Step 9
Construction:
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Answer
Join A to C with a line segment.
Step 10
Proof:
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