EXAMPLE 1 Translate a figure in the coordinate

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EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices

EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices A(– 1, 2), B(– 1, 5), C(4, 6), and D(4, 2). Find the image of each vertex after the translation (x, y) →(x + 3, y – 1). Then graph the image using prime notation. SOLUTION First, draw ABCD. Find the translation of each vertex by adding 3 to its x-coordinate and subtracting 1 from its y-coordinate. Then graph the image.

EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices

EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices A(– 1, 2), B(– 1, 5), C(4, 6), and D(4, 2). Find the image of each vertex after the translation (x, y) →(x + 3, y – 1). Then graph the image using prime notation. (x, y) → (x + 3, y – 1) A(– 1, 2) → A′(2, 1) B(– 1, 5) → B′(2, 4) C(4, 6) → C′(7, 5) D(4, 2) → D′(7, 1)

GUIDED PRACTICE for Example 1 1. Draw RST with vertices R(2, 2), S(5, 2),

GUIDED PRACTICE for Example 1 1. Draw RST with vertices R(2, 2), S(5, 2), and T(3, 5). Find the image of each vertex after the translation (x, y) → (x + 1, y + 2). Graph the image using prime notation. SOLUTION First, draw RST. Find the translation of each vertex by adding 1 to its x-coordinate and adding 2 to its ycoordinate. Then graph the image.

GUIDED PRACTICE for Example 1 Graph triangle RST with vertices R(2, 2), S(5, 2),

GUIDED PRACTICE for Example 1 Graph triangle RST with vertices R(2, 2), S(5, 2), T(3, 5). Find the image of each vertex after the translation (x, y) →(x + 1, y + 2). Then graph the image using prime notation. (x, y) → (x + 1, y + 2) y R(2, 2) → R′(3, 4) T′ S(5, 2) → S′(6, 4) T T(3, 5) → T′(4, 7) S′ R′ R S x

GUIDED PRACTICE for Example 1 2. The image of (x, y) → (x +

GUIDED PRACTICE for Example 1 2. The image of (x, y) → (x + 4, y – 7) is P′Q′ with endpoints P′(– 3, 4) and Q′(2, 1). Find the coordinates of the endpoints of the preimage. SOLUTION To find the coordinates of the endpoints of the preimage subtract 4 from x-coordinate and add 7 to y-coordinate. (x, y) → (x – 4, y + 7) P'(– 3, 4) → P(– 7, 11) Q'(2, 1) → Q(– 2, 8)