1 / 12

Lesson 4.2- Transformations on the Coordinate Plane,

Lesson 4.2- Transformations on the Coordinate Plane,. Objectives : To transform figures by using reflections, translations, dilations, and rotations. To transform figures on a coordinate plane by using reflections, translations, dilations, and rotations. Vocabulary.

anthony-hopkins
Download Presentation

Lesson 4.2- Transformations on 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. Lesson 4.2- Transformations on the Coordinate Plane, Objectives: To transform figures by using reflections, translations, dilations, and rotations. To transform figures on a coordinate plane by using reflections, translations, dilations, and rotations.

  2. Vocabulary • Transformations: movements of geometric figures. • Pre-image: the position of the figure before the transformation. • Image: the position of the figure after the transformation.

  3. Transformations on the Coordinate Plane • Reflection- the figure is flipped over a line. Reflection over the x-axis: (x, y) (x, -y) Reflection over the y-axis: (x, y) (-x, y)

  4. Translation: a figure is slid in any direction. (x, y) (x + a, y + b)

  5. Dilation: a figure is enlarged or reduced. (x, y) (kx, ky)

  6. Rotation: a figure is turned around a point. 90° rotation: (x, y) (-y, x) 180° rotation: (x, y) (-x, -y)

  7. Ex. 1: Identify each transformation as a reflection, translation, dilation, or rotation. a) Dilation b) Translation c) Rotation

  8. d) Reflection

  9. Ex. 2: A trapezoid has vertices W(-1, 4)X(4, 4), Y(4, 1), and Z(-3, 1) • A trapezoid is reflected over the y-axis. Find the coordinates of the image. • Graph the trapezoid WXYZ and its image W’X’Y’Z’

  10. Ex. 3: Triangle ABC has vertices A(-2,1), B(2, 4) and C(1,1) • Find the coordinates of the vertices of the image if it is translated 3 units to the right and 5 units down. • Graph the triangle ABC and its image.

  11. Ex. 4: A trapezoid has vertices E(-1, 2), F(2, 1), G(2, -1), and H(-1, -2) • Find the coordinates of the dilated trapezoid E’F’G’H’ if the scale factor is 2. • Graph the pre-image and its image.

  12. SUMMARY • Reflection- the figure is flipped over a line. • Translation: a figure is slid in any direction. Dilation: a figure is enlarged or reduced • Rotation: a figure is turned around a point. Skills Practice Workbook, Lesson 4.2

More Related