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cricket20 [7]
3 years ago
6

Scale factor 3/4 Coordinates A(1,12) B(1,6) C (0,9) Triangle DEF is a dilation of triangle ABC What's the coordinates of triangl

e DEF?
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:

D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)

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Area of the parallelograms are as follows;

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Explanation:

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  • For parallelogram 1, base width = 12 inches while vertical height = 8 inches. So the area equals 12 × 8 = 96 inch².
  • For parallelogram 2, base width = 14 inches while vertical height = 5 inches. So the area equals 14 × 5 = 70 inch².
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