Download presentation

1
**Transformations on the coordinate plane**

2
**Transformations Review**

Type Diagram A translation moves a figure left, right, up, or down A reflection moves a figure across its line of reflection to create its mirror image. A rotation moves a figure around a given point.

3
Now we will look at how each transformation looks on a coordinate plane. The transformed figure is often named with the same letters, but adding an apostrophe. The transformation of ABC is A’B’C’.

4
**Translation Find point A and Translate ABC 6 units to the right.**

Find point B and Find point C and 6 Units A A’ count 6 units to the right. Plot point A’. B’ B C C’ count 6 units to the right. Plot point B’. count 6 units to the right. Plot point C’.

5
Translation Rules To translate a figure a units to the right, increase the x-coordinate of each point by a amount. To translate a figure a units to the left, decrease the x-coordinate of each point by a amount. Translate point P (3, 2) 9 units to the right. Since we are going to the right, we add 9 to the x-coordinate = 12, so the new coordinates of P’ are (12, 2) Translate point P (3, 2) 6 units to the left. Since we are going up, we subtract 6 to the x-coordinate = -3, so the new coordinates of P’ are (-3, 2)

6
Translation Rules To translate a figure a units up, increase the y-coordinate of each point by a amount. Translate point P (3, 2) 9 units up. To translate a figure a units down, decrease the y-coordinate of each point by a amount. Since we are going up, we add 9 to the y-coordinate = 11, so the new coordinates of P’ are (3, 11) Translate point P (3, 2) 6 units down. Since we are going down, we subtract 6 to the y-coordinate = -4, so the new coordinates of P’ are (3, -4)

7
Translation Example 2 The coordinates of point A are (-5, 4) Since we are moving to the right we increase the x-coordinate by 6. The coordinates of point B are (-2, 3) The coordinates of point C are (-3, 1) = 1, so the new coordinates of A’ are (1, 4). = 4, so the new coordinates of B’ are (4, 3). = 3, so the new coordinates of C’ are (3, 1).

8
**Practice Point P (5, 8). Translate 2 to the left and 6 up. P’ (3, 14)**

Point Z (-3, -6). Translate 5 to the right and 9 down. Translate LMN, whose coordinates are (3, 6), (5, 9), and (7, 12), 9 units left and 14 units up. P’ (3, 14) Z’ (2, -15) L’M’N’ (-6, 20), (-4, 23), (-2, 26)

9
**Reflection Reflect ABC across the y-axis.**

Count the number of units point A is from the line of reflection. 5 Units 5 Units A A’ Count the same number of units on the other side and plot point A’. 2 Units 2 Units B B’ 3 Units 3 Units Count the number of units point B is from the line of reflection. C C’ Count the same number of units on the other side and plot point B’. Count the number of units point C is from the line of reflection. Count the same number of units on the other side and plot point C’.

10
Reflection Rules To reflect point (a, b) across the y-axis use the opposite of the x-coordinate and keep the y coordinate the same. Reflect point P (3, 2) across the y-axis. To reflect point (a, b) across the x-axis keep the x-coordinate the same and use the opposite of the y-coordinate Since we reflecting across the y-axis. Keep the y the same and use the opposite of the x. (-3, 2) Reflect point P (3, 2) across the x-axis. Since we reflecting across the x-axis. Keep the x the same and use the opposite of the y. (3, -2)

11
Practice The coordinates of ABC are: (-5, 4), (-2, 3), (-3, 1) Reflect ABC across the y-axis and then reflect it across the x-axis. To reflect it across the y-axis keep the y the same and use the opposite x. The new coordinates are: (5, 4), (2, 3), (3, 1) To reflect it across the x-axis keep the x the same and use the opposite y. The new coordinates are: (5, -4), (2, -3), (3, -1)

12
Rotation Rules To rotate a point 90° clockwise, switch the coordinates, and then multiply the new y-coordinate by -1. Rotate point P (3, 2) clockwise about the origin. To rotate a point 180°, just multiply each coordinate by -1. Since we are rotating it clockwise, we switch the coordinates (2, 3) and multiply the new y by -1, so the new coordinates are (2, -3) Rotate point P (3, 2) clockwise about the origin. Since we are rotating it 180°, we simply multiply the coordinates by -1, so the new coordinates are (-3, -2).

13
**Practice Point P (5, 8). Rotate 90° clockwise about the origin.**

Point Z (-3, -6). Rotate 180° about the origin. Rotate LMN, whose coordinates are (3, 6), (5, 9), and (7, 12), 90° clockwise about the origin. P’ (8, -5) Z’ (-3, -6) L’M’N’ (6, -3), (9, -5), (7, -12)

Similar presentations

OK

Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation.

Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on needle stick injury protocol Ppt on rf based dual mode robot Full ppt on electron beam machining video Ppt on world population day 2012 Download ppt on eddy current brakes ppt Pps to ppt online Pptx to ppt online Ppt on object-oriented programming encapsulation Ppt on word association test psychology Ppt on water conservation and management