To determine the scale factor of the dilation, we can calculate the distance between the original vertices and the corresponding new vertices.
Let's calculate the distance between A and A' using the distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(4 - 2)^2 + (2 - 1)^2]
d = √[2^2 + 1^2]
d = √(4 + 1)
d = √5
Now, let's calculate the distance between B and B':
d = √[(-4 + 2)^2 + (4 - 2)^2]
d = √[(-6)^2 + 2^2]
d = √(36 + 4)
d = √40 = 2√10
Now, let's calculate the distance between C and C':
d = √[(6 - 3)^2 + (2 - 1)^2]
d = √[3^2 + 1^2]
d = √(9 + 1) = √10
The scale factor of the dilation can be calculated as the ratio of the corresponding distances between the original vertices and the new vertices.
Scale factor = Distance(A, A') / Distance(A, B') = √5 / 2√10 = 1 / 2
Therefore, the scale factor of the dilation is 1/2.
A triangle has vertices at points A (2, 1), B (-2, 2) and C (3, 1).
After a dilation, the new vertices are at points A' (4, 2), B' (-4, 4) and C' (6, 2).
Determine the scale factor of the dilation.
3 answers
1) What was the result of the Boston Massacre?
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0 points
America gained independence.
The British surrendered.
Five colonists were killed.
The war reached a turning point.
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0 points
America gained independence.
The British surrendered.
Five colonists were killed.
The war reached a turning point.
Five colonists were killed.