Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
The statement "They are parallel and congruent" is true for the line segments.
Given that, triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′.
What is translation?
In mathematics, a translation is an up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another.
Now, let us consider coordinates as [tex]A(2,3)[/tex] and [tex]B(-4, 6)[/tex].
By using rule (x, y) → (x + 1, y − 4), we get [tex]A'[/tex] as (2+1, 3-4)=(3, -1) and [tex]B'[/tex] as (-4+1, 6-4)=(-3, 2).
Now, using the distance formula, [tex]Distance=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex] we have to calculate the distance of AA' and BB'.
That is, [tex]AA'=\sqrt{(3-2)^{2} +(-1-3)^{2} } =\sqrt{17}[/tex] units.
[tex]BB'=\sqrt{(-3-(-4))^{2}+(2-6)^{2} }= \sqrt{17}[/tex].
Since the length of AA' and BB' are the same they congruent.
Therefore, the statement "They are parallel and congruent" is true for the line segments.
To learn more about the translation visit:
https://brainly.com/question/11914505.
#SPJ1
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
