Mathematics
27.05.2022 11:21
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A b c d is the image of abcd . what transformation(s) would result in this image?

A'b'c'd' is the image of abcd . what transformation(s) would result in this image?

1. abcd is reflected over the line y = x .
2. abcd is dilated about the origin with a scale factor of -1.
3. abcd is reflected across the y-axis and then the x-axis.
4. abcd is rotated 180° around the origin.
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nickname0097
nickname0097
4,6(15 marks)

Option 3 and 4.

Step-by-step explanation:

From the given figure it is clear that the vertices of figure ABCD are A(3,-2), B(5,-5), C(3,-5) and D(2,-4).

The vertices of figure A'B'C'D' are A'(-3,2),B'(-5,5), C'(-3,5) and D'(-2,4).

The relation between preimage are image is

(x,y)\rightarrow (-x,-y)

It means ABCD is rotated 180° around the origin.

If ABCD is reflected across the y-axis and then the x-axis.

Across the y-axis : (x,y)\rightarrow (-x,y)

Across the x-axis : (x,y)\rightarrow (x,-y)

Across the y-axis and then the x-axis : (x,y)\rightarrow (-x,-y).

Therefore, the correct options are 3 and 4.

taylor5384
taylor5384
4,9(1 marks)

Prob (first defective) = 4 / 20 = 1/5

Prob(2nd defective) = 3/19

Prob (3rd defective) = 2/18 = 1/9

Pron 4th defective) = 1/ 17

Prob ( all 4 defective) = 1/5 * 3/19 * 1/9 * 1/17 = 1 / 4845 answer

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