Mr. Lisa wants to hang a triangular banner at the entrance of the school. He performs an unknown dilation to include the banner
labeled ∆A'B'C' on a sketch. If side A'B' is 8 units, what will be the measure of B'C' if the measure of AB is 24 feet and BC is 6 feet?
1 answer:
Answer:
B'C' = 2 units
Step-by-step explanation:
The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).
Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:
A'B'/AB = B'C'/BC
Substitute
8/24 = B'C'/6
Cross multiply
24*B'C' = 8*6
24*B'C' = 48
B'C' = 48/24
B'C' = 2 units
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