Lesson 7 Menu Five-Minute Check (over Lesson 6-6) Main Idea and Vocabulary Targeted TEKS Example 1: Draw a Translation Example 2: Translation in the Coordinate Plane Example 3: Test Example

Lesson 7 Ex1 Draw a Translation Copy  EFG below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up. Step 1Move each vertex of the triangle 3 units right and 2 units up. Step 2Connect the new vertices to form the image. Answer:

Lesson 7 CYP1 Copy  ABC below on graph paper. Then draw the image of the figure after a translation of 2 units right and 4 units down. Answer:

Lesson 7 Ex2 Translation in the Coordinate Plane Graph ABC with vertices A(–2, 2), B(3, 4), and C(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices.

Lesson 7 Ex2 Translation in the Coordinate Plane The coordinates of the vertices of the image are A'(–4, –3), B'(1, –1), and C'(2, –4). Notice that these vertices can also be found by adding –2 to the x-coordinates and –5 to the y-coordinates, or (–2, –5). OriginalAdd (–2, –5)Image A(–2, 2)(–2 + (–2), 2 + (–5))(–4, –3) B(3, 4)(3 + (–2), 4 + (–5))(1, –1) C(4, 1)(4 + (–2), 1 + (–5))(2, –4)

Lesson 7 Ex2 Translation in the Coordinate Plane Answer: A'(–4, –3), B'(1, –1), and C'(2, –4)

Lesson 7 CYP2 Answer: P'(1, 0), Q'(4, 1), and R'(5, –1) Graph  PQR with vertices P(–1, 3), Q(2, 4), and R(3, 2). Then graph the image of  PQR after a translation of 2 units right and 3 units down. Write the coordinates of its vertices.

Lesson 7 Ex3 A. (0, 3)B. (1, 2) C. (2, 1)D. (1, 1) If triangle RST is translated 4 units to the right and 3 units up, what are the coordinates of point T' ?

Lesson 7 Ex3 Read the Test Item You are asked to find the coordinates of point T' after the original figure has been translated 4 units right and 3 units up. Solve the Test Item You can answer this question without translating the entire triangle.

Lesson 7 Ex3 Original figure The coordinates of T' are (1, 2). Answer: The answer is B. Translating 3 units up is the same as adding 3 to the y-coordinate. Translating 4 units right is the same as adding 4 to the x-coordinate. The coordinates of point T are (–3, –1). The x-coordinate of T is –3, so the x-coordinate of T' is –3 + 4 or 1. The y-coordinate of T is –1, so the y-coordinate of T' is –1 + 3 or 2.

1.A 2.B 3.C 4.D Lesson 7 CYP3 A.(0, –1)B.(–3, 2) C.(–1, –4)D.(–2, 3) If triangle LMN is translated 4 units left and 2 units up, what are the coordinates of point L'?