Answered

IDNLearn.com is designed to help you find reliable answers quickly and easily. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

Points [tex]\(R, S\)[/tex], and [tex]\(T\)[/tex] have the coordinates [tex]\(R(10,7), S(22,1)\)[/tex], and [tex]\(T(-11,-5)\)[/tex]. Together the points make a triangle.

If the triangle is reflected through the [tex]\(x\)[/tex]-axis, which of the following would be the new coordinates of the point [tex]\(T\)[/tex]?

A. [tex]\((-11, 5)\)[/tex]

B. [tex]\((-11, -5)\)[/tex]

C. [tex]\((11, 5)\)[/tex]

D. [tex]\((11, -5)\)[/tex]

Sagot :

GinnyAnsweridn
To find the new coordinates of point [tex]\( T \)[/tex] after reflecting it through the [tex]\( x \)[/tex]-axis, we need to understand how reflections work with coordinates.

When a point [tex]\((x, y)\)[/tex] is reflected through the [tex]\( x \)[/tex]-axis, the [tex]\( x \)[/tex]-coordinate remains the same, while the [tex]\( y \)[/tex]-coordinate is inverted (multiplied by [tex]\(-1\)[/tex]). Let's apply this rule to point [tex]\( T \)[/tex].

The original coordinates of point [tex]\( T \)[/tex] are [tex]\((-11, -5)\)[/tex]. Reflecting this point through the [tex]\( x \)[/tex]-axis involves the following steps:

1. Keep the [tex]\( x \)[/tex]-coordinate the same: [tex]\(-11\)[/tex].
2. Invert the [tex]\( y \)[/tex]-coordinate: [tex]\(-5\)[/tex] becomes [tex]\(5\)[/tex].

Therefore, after reflecting point [tex]\( T \)[/tex] through the [tex]\( x \)[/tex]-axis, the new coordinates will be:

[tex]\[ (-11, 5) \][/tex]

Thus, the new coordinates of point [tex]\( T \)[/tex] are [tex]\((-11, 5)\)[/tex].

The correct answer is [tex]\((-11, 5)\)[/tex].
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.