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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