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Plotting Points and Transformations

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Presentation on theme: "Plotting Points and Transformations"— Presentation transcript:

1 Plotting Points and Transformations

2 Warm-up What is 7% of 28? 40% of 36 is what?

3 Plotting Points A (5, 1) B (-2, 4) C (0, -4) D (-3, -1) E (2, 0)

4 Give the coordinates. B C D A E

5 Find the perimeter of the rectangle formed by connected the points A (1, 2) B (4, 2) C(1, 5) D (4, 5)

6 Transformations – movements of the geometric figure
Pre-image – position of the figure before the transformation. Image – the position of the figure after the transformation.

7 Types of Transformations
Reflection – figure is flipped over a line

8 Types of Transformations
Translation – (slide) -figure is slid in any direction

9 Types of Transformations
Dilation – a figure is enlarged or reduced

10 Types of Tranformations
Rotation – a figure is turned around a point

11 Point P(4, 3) is translated 5 units to the left and 2 units down
Point P(4, 3) is translated 5 units to the left and 2 units down. Write the coordinates of the image P’.

12 A translation slides P (-5, -2) 8 units to the right and 4 units up, write the coordinates of the image P’.

13 What are the coordinates of the image of triangle ABC if it slides 3 units right and 2 units down?

14 Triangle BAC has coordinates B (3, 4), A (9, 2) and C (5, 6)
Triangle BAC has coordinates B (3, 4), A (9, 2) and C (5, 6). State the coordinates of the image of triangle BAC after a slide of the triangle 4 units to the left and 3 units up.

15 Rotation Rotation of 180º.

16 Reflection – flip over a line
Two flips is the same as rotating the original figure 180º clockwise about the origin.

17 Reflect about the y-axis

18 Reflect about the x-axis.

19 Rotate the figure 180º about the origin.

20 Homework Worksheet


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