Question
\( \triangle Q R S \) contains the points: \( Q(4,2) R(5,1) S(3,7) \). If the triangle is reflected across the \( y \)-axis, what will \( S \) : \( S \) would be 3
Ask by Reed Klein. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
After reflecting across the \( y \)-axis, point \( S \) moves to \( (-3, 7) \).
Solution
When reflecting a point across the \( y \)-axis, the \( x \)-coordinate changes its sign, while the \( y \)-coordinate remains the same.
Given the original coordinates of point \( S \) are \( S(3, 7) \):
1. **Original Coordinates of \( S \):**
\[
S(3, 7)
\]
2. **Reflection Across the \( y \)-Axis:**
\[
S'(-3, 7)
\]
- The \( x \)-coordinate changes from \( 3 \) to \( -3 \).
- The \( y \)-coordinate remains \( 7 \).
**Final Answer:**
After reflection, point \( S \) is at \( S'(-3, 7) \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
When \( \triangle QRS \) is reflected across the \( y \)-axis, the \( x \)-coordinates of all points will change their signs while the \( y \)-coordinates remain the same. So, for point \( S(3,7) \), after reflection, its new coordinates will be \( S'(-3, 7) \). Fun fact: Reflecting shapes across axes is a fundamental concept in geometry often used in design and architecture to create symmetrical structures! The triangle will mirror its orientation, making it a cool visual transformation.
