Homework Explained - Math Practice 101

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Grade 8 McGraw Hill Glencoe - Answer Keys


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  Independent Practice  

Determine if the two figures are congruent by using transformations. Explain your reasoning.

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    Nilda purchased some custom printed stationery with her initials. What transformations could be used if the letter "Z" is the preimage and the letter "N" is the image in the design shown? Are the two figures congruent? Explain.

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    Multiple Representations One way to identify congruent triangles is to prove their matching sides have the same measure. Triangle CDE has vertices at (1, 4), (1, 1), and (5, 1).

    a. Graphs Graph ΔCDE.

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    b. Numbers Find the lengths of the sides of ΔCDE.

  • DC   units
    DE   units
    CE   units
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    c. Geometry Reflect ΔCDE over the y-axis, then translate it 2 units left. Label the vertices of the image C'D'E'. Write the coordinates of ΔC'D'E' below.

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    d. Numbers Find the lengths of the sides of ΔC'D'E'.

  • D'C'   units
    D'E'   units
    C'E'   units
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    e. Words Are the two triangles congruent? Justify your response.

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