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Vlad [161]
3 years ago
14

Why does it take three copies of 1/6 to show the same amount as one copy of 1/2?

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
7 0
Because 3/6 is equal the 1/2. 1/2x3=3 and 2x3=6 so 3/6.
Bond [772]3 years ago
7 0
So 1/2 = 3 times of 1/6
\frac{1}{6} × 3 = \frac{1}{2}
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What is the scale factor of triangle ABC to DEF ?
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Answer:  The correct option is (A). 3.

Step-by-step explanation:  We are given to find the scale factor of dilation from ΔABC to ΔDEF.

As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are

AB = 5 units, BC = 4 units, CA = 3 units,

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We know that the scale factor is given by

S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

S=\dfrac{DE}{AB}=\dfrac{15}{5}=3.

Thus, the required scale factor is 3.

Option (A) is correct.

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3 years ago
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