Digits, Grade 8, Volume 2, Homework Helper
  • 5. The coordinates of q r bar are Q(5, 1), R(8, 1). The coordinates of ΔTUV are T(0, 1), U(−3, 1), and V(−1, 6).

    • a. If ΔQRS and ΔTUV are congruent, what are possible coordinates for point S?

      • A. (6, 5)

      • B. (6, 7)

      • C. (6, 6)

      • D. (5, 6)

    • b. What is the distance between point R and its corresponding point?

      • A. 13 units

      • B. 10 units

      • C. 11 units

      • D. 12 units

  • 6. Think About the Process The coordinates of ΔABC are A(3, −4), B(7, −5), and C(6, −9). The coordinates of ΔEFG are E(0, 0), F(4, 1), and G(3, 5).

    • a. What would be the best first step to map ΔABC to ΔEFG?

    • b. Write a description of rigid motions which map ΔABC to ΔEFG.

  • 7. Think About the Process There are two congruent triangles, ΔQRS and ΔTUV.

    The coordinates of q r bar are Q(4, 3), and R(9, 3). The coordinates of ΔTUV are T(−1, −2), U(−6, −2), and V(−3, 2).

    • a. What should be the plan in order to map point V to point S?

    • b. Which of the following are possible coordinates for point S?

      • A. (6, 6)

      • B. (6, 8)

      • C. (6, 7)

      • D. (4, 7)

  • 8. Challenge The coordinates of the figure ABCD are A(2, 2), B(5, 3), C(5, 4), and D(2, 4). The coordinates of the figure HIJK are H(−2, −4), I(1, −5), J(1, −6), and K(−2, −6).

    • a. Describe the sequence of rigid motions that maps figure ABCD to HIJK.

    • b. Describe a sequence of three rigid motions which maps the figure ABCD to HIJK. Then describe a sequence using four rigid motions.


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Table of Contents

Digits, Grade 8, Volume 2, Homework Helper Unit D: Two-Dimensional Shapes Unit E: Measurement and Data Unit F: Personal Financial Literacy Unit G: Step-Up Lessons English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties