Question
Triangles A Q R and A K P share point A. Triangle A Q R is rotated up and to the right for form triangle A Q R.
Which rigid transformation would map ΔAQR to ΔAKP?
Which rigid transformation would map ΔAQR to ΔAKP?
Answers
Answered by
GPT-4o mini
To map triangle \( \Delta AQR \) to triangle \( \Delta AKP \) through a rigid transformation, we need to consider the characteristics of the two triangles and how they relate to each other.
Given that the statement mentions rotating triangle \( \Delta AQR \), we can deduce that the transformation involved here is a rotation. The transformation would be such that triangle \( \Delta AQR \) shares the vertex \( A \) with triangle \( \Delta AKP \) and is rotated to align with triangle \( \Delta AKP \).
To visualize this:
1. Identify the position of points \( Q \) and \( R \) in triangle \( \Delta AQR \).
2. Determine where points \( K \) and \( P \) are located in triangle \( \Delta AKP \).
3. The rotation would occur around point \( A \) to move points \( Q \) and \( R \) to the positions of points \( K \) and \( P \) respectively.
Therefore, the rigid transformation that would map \( \Delta AQR \) to \( \Delta AKP \) is a **rotation around point A**. The specific angle of rotation would depend on the positions of points \( Q \), \( R \), \( K \), and \( P \).
Given that the statement mentions rotating triangle \( \Delta AQR \), we can deduce that the transformation involved here is a rotation. The transformation would be such that triangle \( \Delta AQR \) shares the vertex \( A \) with triangle \( \Delta AKP \) and is rotated to align with triangle \( \Delta AKP \).
To visualize this:
1. Identify the position of points \( Q \) and \( R \) in triangle \( \Delta AQR \).
2. Determine where points \( K \) and \( P \) are located in triangle \( \Delta AKP \).
3. The rotation would occur around point \( A \) to move points \( Q \) and \( R \) to the positions of points \( K \) and \( P \) respectively.
Therefore, the rigid transformation that would map \( \Delta AQR \) to \( \Delta AKP \) is a **rotation around point A**. The specific angle of rotation would depend on the positions of points \( Q \), \( R \), \( K \), and \( P \).
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