How do you find the center of dilation and scale factor in geometry?
2 answers:
Answer:
See below
Step-by-step explanation:
Centre of dilation
Dilation gives you a new shape that is either larger or smaller than the original.
In either case, every ray that passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).
Scale factor
To get the scale factor, you measure the ratio of lengths of corresponding sides in the shapes.
For example, a line in the red figure below may be four times as long as the corresponding line in the other.
If the dilation converts the blue shape into the red one, the scale factor is 4:1.
If the dilation converts the red shape into the blue one, the scale factor is 1:4.
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By definition, the perimeter of the triangle is the sum of its sides.
We must then use the formula of distance between points:
We now look for the longitus for each of the sides:
For L1:
For L2:
For L3:
Then, the perimeter is given by:
P = L1 + L2 + L3
Substituting values we have:
Answer:
the perimeter of triangle ABC is:
none of the above.
We must then use the formula of distance between points:
We now look for the longitus for each of the sides:
For L1:
For L2:
For L3:
Then, the perimeter is given by:
P = L1 + L2 + L3
Substituting values we have:
Answer:
the perimeter of triangle ABC is:
none of the above.