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Maurinko [17]
4 years ago
6

Sometimes a dilation is an enlargement, and sometimes it is a reduction. Explain what types of numbers for scale factors causes

each.
Mathematics
2 answers:
DENIUS [597]4 years ago
7 0

Answer: If the scale factor is greater than 1 then the image is an enlargement .

If the scale factor is smaller than 1 then the image is an reduction.

Step-by-step explanation:

A dilation a transformation that changes the size of the figure in certain ways by using scale factor .

It stretches or shrinks the actual figure. It produces similar figures.

  • If the scale factor is greater than 1 then the image is an <em>enlargement</em> .
  • If the scale factor is smaller than 1 then the image is an<em> reduction</em>.
  • If the scale factor is equals to 1 then the image is <em>congruent</em>.
vovikov84 [41]4 years ago
3 0
If your scale factor has absolute value greater than 1, the dilation is an enlargement. 
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage. </span>
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Answer:

Step-by-step explanation:

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Maximun: 6

2. Calculate the range (R).

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3. Calculate the average.

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4. Calculate the M and round the value <u>down</u>.

M=\sqrt{N} =\sqrt{12}=3.46

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6. Calculate A.

A=\frac{R}{M} =\frac{4}{3} =1.3333

7. Craft your table.

<u>(Check attatched image 1).</u>

LL: Lower limit.

UL: Upper limit.

8. Calculate the limits and fill out the table.

  LL      /      UL

2.00         2.00+A=3.33

3.33          3.3333 +A=4.66    

4.66          5.99

5.99         7.32

7.32         8.65

Filled out table: <u>check attatched image 2.</u>

9. Check the data, count how many values fall into each interval and annotate on "frequency".

For example: There are 4 values between 2 and 3.33, these values are 2,3,3, and 3. Therefore, we write 4 on the frequency (absolute) cell for this row of the table. And we do the same for all the other classes.

<u>Check attatched image 3.</u>

10. Calculate the frequency (relative) for all classes.

For example: the first class (row 1 of the table) contains 4 values. Therefore, it's relative frequency would be:

\frac{4}{N}=\frac{4}{12} =0.3333=33.33%

Note: We divide by 12 b<u>ecause N=12</u>.

Do the same for all the other rows and finish filling out the table.

<u>Check attatched image 4.</u>

<u>-------------------------------------------------------------------------------------------------------</u>

<u>Extra.</u> To make an histogram, take the interval and the absolute frequency and graph it in the fashion shown in attatched image 5.

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