The figure below shows a line graph and two shaded triangles that are similar:

Mathematics

1 answer:

jonny [76]2 years ago

3 0

Answer: A

Step-by-step explanation: took the test, got it right.

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How can you add, subtract, and multiply with decimal

kifflom [539]

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3 years ago

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .

Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:

$A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)$