Estrada Chan
02/02/2024 · Middle School
2. Figure P and Q are congruent polygons. Select all the ways we could describe the rigid transformation that takes P to Q . (Le A: Reflect over line \( B A \) and then translate by directed line segment \( C B \).
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To describe the rigid transformation that takes polygon P to polygon Q, we can use the following steps:
1. Reflect over line \(BA\): This means that we will reflect polygon P over line \(BA\) to obtain a new polygon. The reflection will result in a new polygon that is congruent to polygon P but in a different orientation.
2. Translate by directed line segment \(CB\): After reflecting polygon P over line \(BA\), we will then translate the resulting polygon by the directed line segment \(CB\). This translation will move the polygon to its final position, which is polygon Q.
Therefore, the rigid transformation that takes polygon P to polygon Q is a combination of a reflection over line \(BA\) followed by a translation by directed line segment \(CB\).
Quick Answer
The rigid transformation is a reflection over line \(BA\) followed by a translation by directed line segment \(CB\).
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