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Plotting Points and Transformations
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Warm-up What is 7% of 28? 40% of 36 is what?
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Plotting Points A (5, 1) B (-2, 4) C (0, -4) D (-3, -1) E (2, 0)
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Give the coordinates. B C D A E
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Find the perimeter of the rectangle formed by connected the points A (1, 2) B (4, 2) C(1, 5) D (4, 5)
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Transformations – movements of the geometric figure
Pre-image – position of the figure before the transformation. Image – the position of the figure after the transformation.
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Types of Transformations
Reflection – figure is flipped over a line
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Types of Transformations
Translation – (slide) -figure is slid in any direction
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Types of Transformations
Dilation – a figure is enlarged or reduced
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Types of Tranformations
Rotation – a figure is turned around a point
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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’.
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A translation slides P (-5, -2) 8 units to the right and 4 units up, write the coordinates of the image P’.
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What are the coordinates of the image of triangle ABC if it slides 3 units right and 2 units down?
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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.
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Rotation Rotation of 180º.
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Reflection – flip over a line
Two flips is the same as rotating the original figure 180º clockwise about the origin.
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Reflect about the y-axis
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Reflect about the x-axis.
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Rotate the figure 180º about the origin.
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Homework Worksheet
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