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Afina-wow [57]
1 year ago
15

Which transmition will change figure A into figure B in math

Mathematics
1 answer:
Angelina_Jolie [31]1 year ago
3 0

Answer:

The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.

Step-by-step explanation:

What is figure rotation?

Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.

In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.

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Answer:

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos45° = \frac{1}{\sqrt{2} } , thus

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opp = \frac{21}{2}

Now consider the right triangle on the right, using the cosine ratio

cos45° = \frac{adjacent}{hypotenuse} = \frac{\frac{21}{2} }{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = \frac{21}{2} × \sqrt{2} = \frac{21\sqrt{2} }{2} → C

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