how can a translation and a reflection be used to map △hjk to △lmn? translate k to n and reflect across the…
how can a translation and a reflection be used to map △hjk to △lmn? translate k to n and reflect across the line containing hj. translate k to n and reflect across the line containing jk. translate h to l and reflect across the line containing jk. translate k to l and reflect across the line containing hj.
Answer
Explanation:
Step1: Analyze the goal of mapping
We want to map $\triangle HJK$ to $\triangle LMN$. We need to match the vertices correctly.
Step2: Consider translation
To start the mapping, we should translate a vertex of $\triangle HJK$ to a corresponding vertex of $\triangle LMN$. Looking at the triangles, translating $K$ to $N$ is a good first - step as they are corresponding vertices.
Step3: Consider reflection
After translating $K$ to $N$, we need to reflect the triangle to match the orientation. Reflecting across the line containing $\overline{JK}$ will map the triangle $\triangle HJK$ to $\triangle LMN$.
Answer:
Translate $K$ to $N$ and reflect across the line containing $\overline{JK}$.