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USPshnik [31]
3 years ago
13

Which series of transformations shows that rectangle A is similar to rectangle B?

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

Step-by-step explanation:

The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).

To transform A to be we need a combination of two transformations, and that is dilation and rotation.

If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.

CaHeK987 [17]3 years ago
8 0

<u>Answer:</u>

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

<u>Step-by-step explanation:</u>

We are two rectangles, A and B, and to determine whether which series of transformations show that A is similar to rectangle B.

The coordinates of rectangle A are: (1, 1), (1, -1), (-2, 1) and (-2, -1) while the coordinates of the rectangle B are: (3, 6), (3, -3), ((-3, 6) and (-3, -3).

To transform rectangle A into rectangle B, we need to dilate A by a scale factor 3 and then rotate it 90 degrees clockwise through the origin.

Therefore, the correct answer option is D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

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Read 2 more answers
Calculate the annual return percentage
const2013 [10]
The annual returns will be calculated as follows:
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A=p(1+r/100)^n
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n=time
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A=500, p=400, t=1
Plugging the values in the formula we obtain:
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simplifying and solving for r:
1.25=1+r
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b] Using the formula above:
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plugging the values in the equation we obtain:
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2600/2000=1+r
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hence
r=1.3-1
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