Triangle ABCTriangle ABC is transformed with the center of dilation at the origin. Pre-image: △ABC with vertices A(−5, −4), B(−
7, 3), C(3, −2) Image: △A′B′C′ with vertices A′(−3.75, −3), B′(−5.25, 2.25), C′(2.25, −1.5) What is the scale factor of the dilation that maps the pre-image to the image?
2 answers:
Pre Image having vertices : △ABC with vertices A(−5, −4), B(−7, 3), C(3, −2)
Image having vertices : △A′B′C′ with vertices A′(−3.75, −3), B′(−5.25, 2.25), C′(2.25, −1.5).
As, Size of Preimage > Size of image
So, 0<Dilation Factor <1
When a triangle is dilated , the preimage and image are similar to each other .
Scale factor can be get through by finding the ratio of any of corresponding sides of triangle.
So, Scale Factor of Dilation =
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<h3>What is the Vieta Theorem?</h3>- Suppose we have a quadratic equation, in the following format:
- The roots are p and q.
The Theorem states that:
In this problem, the polynomial is:
Hence the coefficients are .
Since the difference of the solutions is 1, we have that:
Then, from the first equation of the Theorem:
Now, from the second equation:
To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978