1 / 11

1.7 Motion in the Coordinate Plane

1.7 Motion in the Coordinate Plane. Coordinate Notation for a Translation You can describe a translation of the point ( x , y ) by the notation:. Coordinate Notation for a Reflection. Coordinate Notation for a Rotation. Homework. Find the rule for each transformation. Translation

talib
Télécharger la présentation

1.7 Motion in the Coordinate Plane

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related