Math Practice 101
Homework Explained - Math Practice 101

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Grade 8 McGraw Hill Glencoe - Answer Keys


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  • Question 4 (request help)

    Construct an Argument Complete the two-column proof to show that when two parallel lines are cut by a transversal, consecutive interior angles are supplementary.

    Given: parallel lines m and n cut by transversal t

    Prove: ∠2 and ∠3 are supplementary

    Statements                                      Reasons

    a.                                                      Given

    b. ∠1 and ∠2 form a

    straight angle.

    c.                                                      Definition of supplementary angles

    d. m∠1 = m∠3

    e.                                                      Substitution

    f. ∠2 and ∠3 are supplementary            

    angles
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  H.O.T. Problems Higher Order Thinking  

  • Question 5 (request help)

    Reason Abstractly Describe the theorem or definition you could use to find the measure of ∠2.
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  • Question 6 (request help)

    Persevere with Problems Given the right triangle shown, use inductive reasoning to make a conjecture about the sum of the measures of the two acute angles of any right triangle.
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  • Question 7 (request help)

    Reason Inductively In the diagram, m∠CFE = 90° and m∠AFB = m∠CFD. Which of the following conclusions does not have to be true?

    I. m∠AFB + m∠DFE = 90°

    II. \(\overline{\text{BF}}\) divides ∠AFD in half

    III. m∠CFD = m∠AFB

    IV. ∠CFE is a right angle
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