Subjects geometry

Triangle Reflection 944Cea

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: User: 49. The triangle has coordinates $(-6,4)$, $(-5,2)$ and $(-1,2)$. Draw the reflection in the line $y = x$.
1. **Problem Statement:** We are given a triangle with vertices at $(-6,4)$, $(-5,2)$, and $(-1,2)$. We need to find the reflection of this triangle across the line $y = x$. 2. **Reflection Rule:** The reflection of a point $(a,b)$ across the line $y = x$ is the point $(b,a)$. 3. **Apply the Reflection:** - Reflect $(-6,4)$: becomes $(4,-6)$ - Reflect $(-5,2)$: becomes $(2,-5)$ - Reflect $(-1,2)$: becomes $(2,-1)$ 4. **Result:** The reflected triangle has vertices at $(4,-6)$, $(2,-5)$, and $(2,-1)$. This completes the reflection of the triangle across the line $y = x$.
(-6,4)(-5,2)(-1,2)(4,-6)(2,-5)(2,-1)