Answered

Find the best solutions to your problems with the help of IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Select the correct answer.

You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, 4), across the y-axis to get triangle P'Q'R'. What are the coordinates of triangle P'Q'R'?

A. P'(-2, 4), Q'(-3, 1), R'(-4, 4)
B. P'(2, -4), Q'(3, -1), R'(4, 4)
C. P'(-2, 4), Q'(-3, 1), R'(4, -4)
D. P'(2, -4), Q'(3, -1), R'(4, -4)

Sagot :

GinnyAnsweridn
To solve this problem, we need to reflect the given triangle PQR across the y-axis. The vertices of triangle PQR are P(-2, -4), Q(-3, -1), and R(-4, 4).

When reflecting a point across the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Let’s apply this rule to each vertex of the triangle:

1. For point P(-2, -4):
- The x-coordinate is -2, and after reflection, it becomes 2 (change the sign).
- The y-coordinate remains -4.
- Thus, P' is (2, -4).

2. For point Q(-3, -1):
- The x-coordinate is -3, and after reflection, it becomes 3 (change the sign).
- The y-coordinate remains -1.
- Thus, Q' is (3, -1).

3. For point R(-4, 4):
- The x-coordinate is -4, and after reflection, it becomes 4 (change the sign).
- The y-coordinate remains 4.
- Thus, R' is (4, 4).

So, the coordinates of the reflected triangle P'Q'R' are P'(2, -4), Q'(3, -1), and R'(4, 4).

Therefore, the correct answer is:
O B. P(2,-4), Q'(3,-1), R'(4, 4)
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.