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marta [7]
3 years ago
7

A = {a, b, c, d}

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

Johnny is wrong.

A \cup B = \left\{a,b,c,d,e,f,g,h\right\}

Step-by-step explanation:

Johnny is wrong.

A better definition would be: A \cup B is the set of all elements that belong to at least one A or B.

So, the elements that belong to both A and B, like c and d in this exercise, also belong to A \cup B.

So:

A \cup B=\left\{a,b,c,d,e,f,g,h\right\}

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As the assumption quadrilateral ABCD is shown in figure a.  

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And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).  

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

<u>So,option (B) is true</u> <u>i.e segment</u><u> </u><u>B'D' will run through (2,2) and will be longer than the segment BD.</u>

<u />

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

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