Starter(s) Find the coordinates of the figure under the given translation. RS with endpoints R(1, –3) and S(–3, 2) along the translation vector 2, –1 ___ A. R'(–2, –2), S'(–1, 1) B. R'(0, –3), S'(–5, 3) C. R'(3, –4), S'(–1, 1) D. R'(3, –4), S'(–5, 3) 5-Minute Check 1

Find the coordinates of the figure under the given translation 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. A'(–2, 1), B'(1, –3), C'(3, –1) B. A'(–1, –1), B'(1, –3), C'(3, 1) C. A'(0, 5), B'(–6, 3), C'(4, 7) D. A'(1, –1), B'(2, 5), C'(5, 9) 5-Minute Check 2

Find the coordinates of the figure under the given translation 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) A. L'(1, 5), M'(4, 5), N'(0, –1), O'(–1, 2) B. L'(2, 6), M'(5, 7), N'(1, 0), O'(0, 3) C. L'(3, –3), M'(6, –2), N'(0, –8), O'(–1, –6) D. L'(4, –4), M'(7, 5), N'(0, –1), O'(1, 4) 5-Minute Check 3

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). ___ ____ A. (x – 2, y – 3) B. (x + 2, y + 2) C. (x – 3, y + 2) D. (x + 3, y – 2) 5-Minute Check 4

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. A. (x, y) → (x + 3, y – 2) B. (x, y) → (x – 3, y + 2) C. (x, y) → (x + 2, y + 3) D. (x, y) → (x – 2, y – 3) 5-Minute Check 5

Draw rotations in the coordinate plane. You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane. Then/Now

center of rotation angle of rotation Vocabulary

Concept

Answer: The answer is C, (–3, 5). Example 1) Rotations in the Coordinate Plane Hexagon DGJTSR is shown below. What is the image of point T after a 90 counterclockwise rotation about the origin? A (5, –3) B (–5, –3) C (–3, 5) D (3, –5) Answer: The answer is C, (–3, 5). Example 3

Example 2) Triangle PQR is shown below. What is the image of point Q after a 90° counterclockwise rotation about the origin? A. (–5, –4) B. (–5, 4) C. (5, 4) D. (4, –5) Example 3