Questions: Two rigid transformations are used to map Δ HJK to triangle LMN. The first is a translation of vertex H to vertex L. What is the second transformation?
Transcript text: Two rigid transformations are used to map $\Delta H \mathrm{JK}$ to $\triangle L M N$. The first is a translation of vertex $H$ to vertex L . What is the second transformation?
Solution
Solution Steps
Step 1: Identify the First Transformation
The first transformation is given as a translation of vertex H to vertex L. This means that the entire triangle ΔHJK is shifted so that point H coincides with point L.
Step 2: Analyze the Resulting Position
After translating H to L, the triangle ΔHJK will be positioned such that H is now at L. We need to determine the second transformation that will map the translated triangle to ΔLMN.
Step 3: Determine the Second Transformation
To map the translated triangle to ΔLMN, observe the orientation and position of the triangles. The triangles are congruent and similarly oriented, suggesting a reflection or rotation. Given the options, the correct transformation is a rotation about point K to align the triangles.
Final Answer
The second transformation is a rotation about point K.