9.1 Reflections

9.1 Reflections

Multiple Choice

Find the coordinates of the figure under the given translation.

RS with endpoints R(1, –3) and S(–3, 2) with a translation (x+2, y-1)

• R'(–2, –2), S'(–1, 1)

• R'(0, –3), S'(–5, 3)

• R'(3, –4), S'(–1, 1)

• R'(3, –4), S'(–5, 3)

Multiple Choice

Find the coordinates of the figure under the given translation.

ΔABC with vertices A(–4, 3), B(–2, 1), and C(0, 5) under the translation (x, y) → (x + 3, y – 4)

• A'(–2, 1), B'(1, –3), C'(3, –1)

• A'(–1, –1), B'(1, –3), C'(3, 1)

• A'(0, 5), B'(–6, 3), C'(4, 7)

• A'(1, –1), B'(2, 5), C'(5, 9)

Multiple Choice

Find the coordinates of the figure under the given translation.

trapezoid LMNO with vertices L(2, 1), M(5, 1),

N(1, –5) and O(0, –2) under the translation

(x, y) → (x – 1, y + 4)

• L'(1, 5), M'(4, 5), N'(0, –1), O'(–1, 2)

• L'(2, 6), M'(5, 7), N'(1, 0), O'(0, 3)

• L'(3, –3), M'(6, –2), N'(0, –8), O'(–1, –6)

• L'(4, –4), M'(7, 5), N'(0, –1), O'(1, 4)

Multiple Choice

Find the translation that moves AB with endpoints A(2, 4) and B(–1, –3) to A'B' with endpoints

A'(5, 2) and B'(2, –5).

• (x – 2, y – 3)

• (x + 2, y + 2)

• (x – 3, y + 2)

• (x + 3, y – 2)

Multiple Choice

The preimage of rectangle ABCD has vertices at A(–4, 5), B(–4, –3), C(1, –3), and D(1, 5). Its image has vertices at A'(–1, 3), B'(–1, –5), C'(4, –5), and D'(4, 3). Write the ordered pair that describes the transformation of the rectangle.

• (x, y) → (x + 3, y – 2)

• (x, y) → (x – 3, y + 2)

• (x, y) → (x + 2, y + 3)

• (x, y) → (x – 2, y – 3)

Multiple Choice

Draw the reflected image of quadrilateral ABCD in line n.

Multiple Choice

• Determine how far the obstructing wall is from the ball.

• Reflect point H over the line formed by wall W.

• Determine the exact length of wall W.

• Find the perpendicular distance from the hole to the wall.

Multiple Choice

Quadrilateral ABCD has vertices A(1, 2), B(0, 1), C(1, –2), and D(3, 0). Graph ABCD and its image over x = 2.

Multiple Choice

Quadrilateral WXYZ has vertices W(2, 4), X(3, 3), Y(2, 0), and Z(0, 2). Graph WXYZ and its image over y = –1.

Multiple Choice

. Graph quadrilateral LMNO with vertices L(3, 1), M(5, 2), N(6, –1), and O(4, –3) and its reflected image in the x-axis. Select the correct coordinates for the new quadrilateral L'M'N'O'.

• L'(3, –1), M'(5, –2),

  N'(6, 1), O'(4, 3)

• L'(–3, 1), M'(–5, 2),

  N'(–6, –1), O'(–4, –3)

• L'(–3, –1), M'(–5, –2),

  N'(–6, 1), O'(–4, 3)

• L'(1, 3), M'(2, 5),

  N'(–1, 6), O'(–3, 4)

Multiple Choice

Graph quadrilateral LMNO with vertices L(–1, 0), M(1, 1), N(2, –2), and O(0, –4) and its reflected image under the y-axis. Select the correct coordinates for the point M' in the new quadrilateral L'M'N'O'.

• L'(–1, 0), M'(1, –1),

  N'(2, 2), O'(0, 4)

• L'(1, 0), M'(–1, 1),

  N'(–2, –2), O'(0, –4)

• L'(1, 0), M'(–1, –1),

  N'(–2, 2), O'(0, 4)

• L'(0, –1), M'(1, 1),

  N'(–2, 2), O'(–4, 0)

Multiple Choice

Quadrilateral EFGH has vertices E(–3, 1), F(–1, 3),

G(1, 2), and H(–3, –1). Graph EFGH and its image under reflection of the line y = x. Select the correct coordinates for the point H' in the new quadrilateral E'F'G'H'.

• E'(–3, –1), F'(–1, –3),

  G'(1, –2), H'(–3, 1)

• E'(3, –1), F'(1, –3),

  G'(–1, 2), H'(3, –1)

• E'(1, –3), F'(3, –1),

  G'(2, 1), H'(–1, –3)

• E'(–1, 3), F'(–3, 1),

  G'(–2, –1), H'(1, 3)