1.7 Motion in the Coordinate Plane

1. 1.7 Motion in the Coordinate Plane

2. Coordinate Notation for a Translation You can describe a translation of the point (x, y) by the notation:

3. Coordinate Notation for a Reflection

4. Coordinate Notation for a Rotation

5. Homework Find the rule for each transformation. Translation A(5, –1), = (x + 2, y + 3) =A’(7, 2) B(2, –2), = (x + 2, y + 3) =B’(4, 1) Reflection over the y axis A’(7, 2), = (–x, y) =A’’(–7, 2) B’(4, 1), = (–x, y) =B’’(–4, 1)

6. Homework Find the coordinates for the image of ∆ABC after the translation (x, y)  (x + 2, y - 1). Draw the image. Find the coordinates of ∆ABC. The vertices of ∆ABC are A(–4, 2), B(–3, 4), C(–1, 1). Apply the rule to find the vertices of the image. A(–4, 2),A’(–4 + 2, 2 – 1) = A’(–2, 1) B(–3, 4),B’(–3 + 2, 4 – 1) = B’(–1, 3) C(–1, 1),C’(–1 + 2, 1 – 1) = C’(1, 0) Plot the points. Finish drawing the image by using a straightedge to connect the vertices.

7. J’ K’ M’ L’ Homework Find the coordinates for the image of JKLM after the translation (x, y)  (x – 2, y + 4). Draw the image. Find the coordinates of JKLM. The vertices of JKLM are J(1, 1), K(3, 1), L(3, –4), M(1, –4), . Apply the rule to find the vertices of the image. J’(1 – 2, 1 + 4) = J’(–1, 5) K’(3 – 2, 1 + 4) = K’(1, 5) L’(3 – 2, –4 + 4) = L’(1, 0) M’(1 – 2, –4 + 4) = M’(–1, 0) Plot the points. Finish drawing the image by using a straightedge to connect the vertices.

8. Homework Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after a 180° clockwise rotation around (0, 0). y 2 x –2

9. Homework Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after a translation 10 units left. y 2 x –2

10. Homework Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after a reflection across the x-axis. y 2 x –2

11. AssignmentSection 8 - 30