Graph translations on a coordinate plane translation Draw

• Graph translations on a coordinate plane. • translation

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

Draw the image of ΔABC after a translation of 2 units right and 4 units down. A. B. C. D. 1. 2. 3. 4. A B C D

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

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).

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

Graph ΔPQR with vertices P(– 1, 3), Q(2, 4), and R(3, 2). Then graph the image of ΔPQR after a translation of 2 units right and 3 units down. Write the coordinates of its vertices. A. P'(– 1, 0), Q'(– 4, 1), and R'(– 5, 1) B. P'(1, 0), Q'(4, 1), and R'(5, – 1) C. P'(– 1, 0), Q'(– 4, – 1), and R'(– 5, – 1) D. P'(1, 0), Q'(4, – 1), and R'(– 5, – 1) 1. 2. 3. 4. A B C D

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

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

End of the Lesson