Homework Explained - Math Practice 101

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Grade 8 McGraw Hill Glencoe - Answer Keys


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  Guided Practice  

  • Question 1 (request help)

    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 (request help)

    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 (request help)

    Building on the Essential Question How is deductive reasoning used in algebra and geometry proofs?

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