Triangle ABC was dilated by 50%. If AC = 6, what is A'C'?ResponsesA 33B 66C 1212D 1515E 18
Question
Triangle ABC was dilated by 50%. If AC = 6, what is A'C'?
Responses
A 33
B 66
C 1212
D 1515
E 18
Solution
A dilation of a triangle by 50% means that each side of the triangle is increased by 50% of its original length.
Step 1: Identify the original length of side AC, which is given as 6.
Step 2: Calculate 50% of the original length. This is done by multiplying the original length by 50/100 (or 0.5). So, 6 * 0.5 = 3.
Step 3: Add the result from step 2 to the original length to find the length of the dilated side A'C'. So, 6 + 3 = 9.
Therefore, the length of A'C' after a dilation of 50% is 9. This option is not listed in the given responses.
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