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Grade 8 McGraw Hill Glencoe - Answer Keys
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Guided Practice
Question 1
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Use the figure to complete the paragraph proof.
Given : m∠1 = m∠2, ∠1 and ∠2 are supplementary.
Prove : ∠1 and ∠2 are right angles.
Proof : m∠1 + m∠2 = _____ since they are supplementary angles. Since m∠1 = m∠2, then m∠1 + m∠1 = 180° by _____. Solving the equation gives m∠1 = _____. Since m∠1 = m∠2, then m∠2 is also _____. Therefore, ∠1 and ∠2 are right angles.
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Question 2
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Refer to the figure above. Complete the two-column proof to show that if EG = 3x - 1, ED = 2x + 4, and EG = ED , then x = 5.
Statements Reasons
a . EG = 3x - 1
ED = 2x + 4
EG = ED
b . 3x - 1 = 2x + 4
c . x - 1 = 4
d . x = 5
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Question 3
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Building on the Essential Question How is deductive reasoning used in algebra and geometry proofs?
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