Geometry Unit 7 Transformations Review Homework

Transformations Review

• The review consists of 14 exercises on geometry transformations, including rotations, reflections, and dilations.

Exercise 1: Reflection in the y-axis

• The transformation is applied to Triangle DEF with vertices D(1, -3), E(8, -2), and F(3, -7).
• The new coordinates are: D'(-1, -3), E'(-8, -2), and F'(-3, -7).

Exercise 2: Reflection in the x-axis

• The transformation is applied to Rhombus QRST with vertices Q(-6, -2), R(0, -1), S(7, -2), and T(1, -1).
• The new coordinates are: Q'(-6, 2), R'(0, 1), S'(7, 2), and T'(1, 1).

Exercise 3: Translation

• The transformation is applied to Quadrilateral JKLM with vertices J(-5, 5), K(2, -1), L(-5, 0), and M(-6, 2).
• The rule is (x, y) → (x + 5, y – 7).
• The new coordinates are: J' (0, -2), K' (7, -8), L' (0, -7), and M' (-1, -5).

Exercise 4: Translation

• The transformation is applied to Rectangle WXYZ with vertices W(-4, 2), X(5, 5), Y(7, -1), and Z(-2, -4).
• The rule is (x, y) → (x – 4, y – 3).
• The new coordinates are: W'(-8, -1), X'(1, 2), Y'(3, -4), and Z'(-6, -7).

Exercise 5: Rotation

• The transformation is a 180° rotation applied to Triangle GHI with vertices G(-8, 3), H(0, 7), and I(-4, 1).
• The new coordinates are: G'(8, -3), H'(0, -7), and I'(4, -1).

Exercise 6: Rotation

• The transformation is a 270° counterclockwise rotation applied to Parallelogram ABCD with vertices A(5, -2), B(8, -1), C(5, -6), and D(2, -7).
• The new coordinates are: A'(-5, -2), B'(-8, -1), C'(-5, -6), and D'(-2, -7).

Exercise 7: Rotation

• The transformation is a 90° counterclockwise rotation applied to Trapezoid STUV with vertices S(-7, -2), T(-5, -1), U(0, -3), and V(-6, -6).
• The new coordinates are: S'(-5, -6), T'(-3, -5), U'(-1, -2), and V'(-5, -3).

Exercise 8: Dilation

• The transformation is a dilation with scale factor k = 2 applied to Triangle LMN with vertices L(2, 7), M(6, 0), and N(3, 1).
• The new coordinates are: L'(4, 14), M'(12, 0), and N'(6, 2).

Exercise 9: Dilation

• The transformation is a dilation with scale factor k = 1/3 applied to Square CDEF with vertices C(-12, 3), D(-3, 0), E(-6, -9), and F(-15, -6).
• The new coordinates are: C'(-4, 1), D'(-1, 0), E'(-2, -3), and F'(-5, -2).

Exercise 10: Dilation

• The transformation is a dilation with scale factor k = 5/2 applied to Triangle QRS with vertices Q(2, -4), R(6, -2), and S(4, -6).
• The new coordinates are: Q'(5, -10), R'(15, -5), and S'(10, -15).

Exercise 11-14: Various Transformations

• The transformations and their respective figures are not specified.