If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?
1 answer:
Answer:
The scale factor is 1.
Step-by-step explanation:
Let k be the scale factor of a dilation of triangle ABC to form the image triangle A'B'C'.
The dilation is a magnification if
In this case, the preimage will be similar to the image triangle.
If
the dilation is a reduction. The image and pre-image will still be similar.
But if
the image is the same as the preimage.
We say the pre-image is congruent to the image triangle.
You might be interested in
Given the scores on a statewide standardized test are normally distributed
Mean = μ = 78
Standard deviation = σ = 3
Normalize the data using the z-score by using the following formula and chart:
Estimate the percentage of scores of the following cases:
(a) between 75 and 81
so, the z-score for the given numbers will be:
As shown, the percentage when (-1 < z < 1) = 68%
(b) above 87
The percentage when (z > 3) = 0.5%
(c) below 72
The percentage when (z < -2) = 0.5 + 2 = 2.5%
(d) between 75 and 84
The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%
