Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Find the point that is symmetric to the point [tex]\((7,-2)\)[/tex] with respect to the [tex]\(x\)[/tex]-axis, the [tex]\(y\)[/tex]-axis, and the origin.

The point symmetric to [tex]\((7,-2)\)[/tex] with respect to the [tex]\(x\)[/tex]-axis is [tex]\(\square\)[/tex].
(Type an ordered pair.)

Sagot :

GinnyAnswer
To find the point that is symmetric to the point [tex]\((7, -2)\)[/tex] with respect to the [tex]\(x\)[/tex]-axis, follow these steps:

1. Reflection across the [tex]\(x\)[/tex]-axis:
When reflecting a point across the [tex]\(x\)[/tex]-axis, the [tex]\(x\)[/tex]-coordinate remains the same, while the [tex]\(y\)[/tex]-coordinate changes sign.

Given the point [tex]\((7, -2)\)[/tex], the [tex]\(x\)[/tex]-coordinate is [tex]\(7\)[/tex] and the [tex]\(y\)[/tex]-coordinate is [tex]\(-2\)[/tex].

2. Change the sign of the [tex]\(y\)[/tex]-coordinate:
- The [tex]\(x\)[/tex]-coordinate remains [tex]\(7\)[/tex].
- The [tex]\(y\)[/tex]-coordinate changes from [tex]\(-2\)[/tex] to [tex]\(2\)[/tex].

3. Write the new coordinates:
The new coordinates after reflecting across the [tex]\(x\)[/tex]-axis are [tex]\((7, 2)\)[/tex].

Therefore, the point symmetric to [tex]\((7, -2)\)[/tex] with respect to the [tex]\(x\)[/tex]-axis is [tex]\((7, 2)\)[/tex].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.