Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Discover comprehensive answers to your questions from our community of experienced professionals.

Triangle ABC is translated according to the rule [tex](x, y) \rightarrow (x+2, y-8)[/tex]. If the coordinates of the pre-image of point B are [tex](4, -5)[/tex], what are the coordinates of [tex]B^{\prime}[/tex]?

A. [tex](2, 3)[/tex]
B. [tex](1, -9)[/tex]
C. [tex](-3, -4)[/tex]
D. [tex](6, -13)[/tex]

Sagot :

GinnyAnsweridn
To determine the coordinates of the point [tex]\( B' \)[/tex] after translation, we start with the pre-image coordinates of point [tex]\( B \)[/tex], which are [tex]\( (4, -5) \)[/tex]. We apply the translation rule [tex]\( (x, y) \rightarrow (x + 2, y - 8) \)[/tex].

Step-by-step process:

1. Translate the x-coordinate:
- The original x-coordinate of point [tex]\( B \)[/tex] is 4.
- According to the translation rule, we add 2 to the x-coordinate: [tex]\( 4 + 2 = 6 \)[/tex].

2. Translate the y-coordinate:
- The original y-coordinate of point [tex]\( B \)[/tex] is -5.
- According to the translation rule, we subtract 8 from the y-coordinate: [tex]\( -5 - 8 = -13 \)[/tex].

Thus, after the translation, the new coordinates of point [tex]\( B' \)[/tex] are [tex]\( (6, -13) \)[/tex].

Among the given options, the coordinates that match our result are:
- [tex]\((2,3)\)[/tex]
- [tex]\((1,-9)\)[/tex]
- [tex]\((-3,-4)\)[/tex]
- [tex]\((6,-13)\)[/tex]

Therefore, the correct answer is:
[tex]\[ (6, -13) \][/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.