8th grade Ch 6 L1

Graph △XYZ with vertices X(−4, −4), Y(−3, −1), and Z(2, −2). Then graph the image of △XYZ after a translation of 3 units right and 4 units up. Write the coordinates of its vertices after the translation.

• X'(−1, 0), Y'(0, 3), Z'(5, 2)

• X'(−7, −8), Y'(−6, −5), Z'(−1, −6)

• X'(−4, 0), Y'(−3, 3), Z'(2, 2)

• X'(−1, −8), Y'(0, −5), Z'(5, −6)

Graph △XYZ with vertices X(−4, −4), Y(−3, −1), and Z(2, −2). Then graph the image of △XYZ after a translation of 2 units left and 3 units down. Write the coordinates of its vertices after the translation.

• X'(−6, −7), Y'(−5, −4), Z'(0, −5)

• X'(−2, −1), Y'(−1, 2), Z'(4, 1)

• X'(−2, −7), Y'(−1, −4), Z'(4, −5)

• X'(−6, −1), Y'(−5, 2), Z'(0, 1)

The baseball at the right was filmed using stop-motion animation so it appears to be thrown in the air. Use translation notation to describe the translation from point A to point B.

• (x, y) → (x + 2, y + 3)

• (x, y) → (x - 2, y + 3)

• (x, y) → (x + 3, y + 2)

• (x, y) → (x + 2, y - 3)

Quadrilateral DEFG has vertices at D(1, 0), E(−2, −2), F(2, 4), and G(6, −3). Find the vertices of D'E'F'G' after a translation of 4 units right and 5 units down.

• D'(5, −5), E'(2, −7), F'(6, −1), G'(10, −8)

• D'(3, 5), E'(2, 3), F'(6, 9), G'(10, 2)

• D'(5, 5), E'(2, 3), F'(6, 9), G'(10, 2)

• D'(5, 5), E'(2, 3), F'(6, 1), G'(10, 2)

Figures are translated on the coordinate plane by:

• shifting them horizontally and/or vertically without rotating or resizing

• rotating them around a point

• reflecting them over an axis

• resizing them to make them larger or smaller

What are the coordinates of the image of △ABC with vertices A(1, 2), B(3, 1), and C(3, 4) after a translation 2 units left and 1 unit up?

• A(-1, 3), B(1, 2), C(1, 5)

• A(3, 1), B(5, 0), C(5, 3)

• A(0, 1), B(2, 0), C(2, 3)

• A(-1, 1), B(1, 0), C(1, 3)

What are the coordinates of the image of rectangle JKLM with vertices J(-3, 2), K(3, 5), L(4, 3), and M(-2, 0) after it is translated 1 unit right and 4 units down?

• J(-2, -2), K(4, 1), L(5, -1), M(-1, -4)

• J(-4, 6), K(2, 9), L(3, 7), M(-3, 4)

• J(-2, 6), K(4, 9), L(5, 7), M(-1, 4)

• J(-4, -2), K(2, 1), L(3, -1), M(-3, -4)

Triangle PQR has vertices P(0, 0), Q(5, -2), and R(-3, 6). Which of the following are the vertices of P'Q'R' after a translation 6 units right and 5 units up?

• P'(6, 5), Q'(11, 3), R'(3, 11)

• P'(5, 6), Q'(0, 3), R'(2, 11)

• P'(6, 0), Q'(11, -2), R'(3, 6)

• P'(0, 5), Q'(5, 3), R'(-3, 11)

Triangle PQR has vertices P(0, 0), Q(5, -2), and R(-3, 6). What are the vertices of P'Q'R' after a translation of 8 units left and 1 unit down?

• P'(-8, -1), Q'(-3, -3), R'(-11, 5)

• P'(-7, -1), Q'(-2, -3), R'(-10, 5)

• P'(-8, 1), Q'(-3, -1), R'(-11, 7)

• P'(-7, 1), Q'(-2, -1), R'(-10, 7)

Use the image of the race car at the right. Select the correct translation notation that describes the translation from point A to point B.

• (x, y) → (x + 4, y + 2)

• (x, y) → (x - 2, y + 4)

• (x, y) → (x + 2, y - 4)

• (x, y) → (x - 4, y - 2)