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Find the measure of the dilated image of segment CD, 48 units long, with a scale factor of one-fourth

A. one-twelfth units
B. 12 units
C. 4 units
D. one-forty-eighth units


&

Find the measure of the dilated image of segment CD, 48 units long, with a scale factor of one-fourth
A. one-half units
B. -2 units
C. 4 units
D. negative one-fourth> unit

User BizNuge
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8.3k points

2 Answers

1 vote
1.B
2.A
i hope this helps you
User Jalayn
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2 votes

Answer with Step-by-step explanation:

The length of the a line -segment after a dilation with a scale factor "k" is given by :


k* x , where x is the length of the original line -segment .

Given : The length of the line-segment CD= 48 units

Scale factor : k= one-fourth =
(1)/(4)

Then, the length of measure of the dilated image of segment CD =
48* k


=48*(1)/(4)=12\ units

Hence, the length of measure of the dilated image of segment CD is 12 units.

Hence, the correct answer is B. 12 units.

Since the next question is exactly same, so the answer for that question is also 12 units (which is not given in option.).

User Raymondralibi
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