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Charra [1.4K]
3 years ago
5

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]3 years ago
8 0

Answer:

5

Step-by-step explanation:


kati45 [8]3 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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