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2 years ago

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Mathematics

2 answers:

Slav-nsk [51]2 years ago

8 0

Answer:

Step-by-step explanation:

kati45 [8]2 years ago

3 0

Answer:

The value of RD' is 5 units.

Step-by-step explanation:

It is given that rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

The scale factor is the proportion of side length of image and side length of preimage.

$k=\frac{\text{lenght of image}}{\text{lenght of preimage}}$

$k=\frac{B'C'}{BC}$

$k=\frac{4}{12}$

$k=\frac{1}{3}$

Scale factor is also defined as

$k=\frac{RD'}{RD}$

$\frac{1}{3}=\frac{RD'}{15}$

Multiply both sides by 15.

$RD'=5$

Therefore the value of RD' is 5 units.

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