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lisov135 [29]
3 years ago
11

Can you guys please answer this is really important

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer:

B) BC'= 8, m A'= 28°

Step-by-step explanation:

When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.

To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':

  • BC' = BC×1/2
  • BC' = 16×1/2
  • BC' = 8

The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.

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