1 / 18

Translations and Reflections on a Coordinate Plane

This lesson covers translations and reflections on a coordinate plane, including defining and identifying transformations, drawing translations and reflections, and finding the coordinates of translated and reflected figures.

ddelozier
Download Presentation

Translations and Reflections on a 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. Splash Screen

  2. Five-Minute Check (over Lesson 2–6) Then/Now New Vocabulary Key Concept: Translations and Reflections Example 1: Standardized Test Example Example 2: Reflections on a Coordinate Plane Lesson Menu

  3. Name the ordered pair for point D. A. (6, 4) B. (–6, 4) C. (6, –4) D. (–6,–4) 5-Minute Check 1

  4. Name the ordered pair for point G. A. (9, 4) B. (–9, 4) C. (9, –4) D. (–9, –4) 5-Minute Check 2

  5. Name the ordered pair for point E. A. (5, 0) B. (0, 5) C. (–5, 0) D. (0 –5) 5-Minute Check 3

  6. Name the point located at (–3, –3). Then name the quadrant in which the point lies. A. point F; quadrant IV B. point F; quadrant III C. point F; quadrant II D. point G; quadrant III 5-Minute Check 4

  7. Name the point located at (8, 2). Then name the quadrant in which the point lies. A. point C; quadrant I B. point C; quadrant II C. point A; quadrant I D. point A; quadrant II 5-Minute Check 5

  8. What are the signs of the x- and y-coordinates of a point located in quadrant IV? A. (positive, positive) B. (negative, negative) C. (positive, negative) D. (negative, positive) 5-Minute Check 5

  9. You have already graphed points on a coordinate plane. (Lesson 2–6) • Define and identify transformations. • Draw translations and reflections on a coordinate plane. Then/Now

  10. Transformation – A movement of a geometric figure. • Image – Every corresponding point on a figure after its transformation. • Translation – A transformation where a figure is slid from one position to another without being turned. Slide. • Reflection – A transformation where a figure is flipped over a line. Flip. • Line of symmetry – Each half of a figure is mirror image of the other half when a line of symmetry is drawn. Vocabulary

  11. Concept

  12. Triangle ABC is shown on the coordinate plane. Find the coordinates of the vertices of the image if the triangle is translated 4 units right and 5 units down. AA'(–7, 2), B'(–5, –5), C'(1, 0) BA'(1, 12), B'(3, 5), C'(9, 10) CA'(–7, 12), B'(–5, 5), C'(1, 10) DA'(1, 2), B'(3, –5), C'(9, 0) Example 1

  13. Read the Test Item This translation can be written as the ordered pair (4, –5). To find the coordinates of the translated image, add 4 to each x-coordinate and add –5 to each y-coordinate. Solve the Test Item original translation image A(–3, 7) + (4, –5)  A'(1, 2) B(–1, 0) + (4, –5)  B'(3, –5) C(5, 5) + (4, –5)  C'(9, 0) Answer: The answer is D. Example 1

  14. A triangle has vertices at A(2, 5), B(–2, 1) and C(1, 0). What are the coordinates of the vertices if the triangle is translated 1 unit left and 3 units down? A.A'(1, 2), B'(–3, –2), C'(0, –3) B.A'(3, 2), B'(–1, –2), C'(2, –3) C.A'(1, 8), B'(–3, –4), C'(0, 3) D.A'(3, 8), B'(–1, –4), C'(2, 3) Example 1

  15. opposite same Reflections on a Coordinate Plane The vertices of figure MNOP are M(–8, 6), N(5, 9), O(2, 1), and P(–10, 3). Graph the figure and the image of the figure after a reflection over the y-axis. To find the coordinates of the vertices of the image after a reflection over the y-axis, multiply the x-coordinate by –1 and use the same y-coordinate. M(–8, 6)  M'(8, 6) N(5, 9)  N'(–5, 9) O(2, 1)  O'(–2, 1) P(–10, 3)  P'(10, 3) Example 2

  16. Reflections on a Coordinate Plane Answer: Example 2

  17. A triangle has vertices at A(1, 2), B(3, –2) and C(0, –3). What are the coordinates of the vertices if the triangle is reflected over the y-axis? A.A'(2, 1), B'(–2, –3), C'(–3, 0) B.A'(1, –2), B'(–3, 2), C'(2, –3) C.A'(–1, –2), B'(–3, –2), C'(0, 3) D.A'(–1, 2), B'(–3, –2), C'(0, –3) Example 2

  18. End of the Lesson

More Related