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?

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?
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Solution

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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.

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