Question

1. draw the image of triangle abc after this sequence of rigid transformations.

a. reflect across line segment ab.
b. translate by directed line segment u.

Explanation:

Step1: Reflect across line segment \(AB\)

• For point \(C\), find its reflection \(C'\) across \(AB\). The line \(AB\) is the perpendicular bisector of the segment joining \(C\) and \(C'\).

Step2: Translate by directed line segment \(u\)

• Translate points \(A\), \(B\), and \(C'\) by the directed line segment \(u\). If the translation vector has a horizontal component \(h\) and vertical component \(v\), then for a point \((x,y)\), its image after translation is \((x + h,y + v)\).

Answer:

Follow the two - step process above to draw the final image of \(\triangle ABC\) after reflection across \(AB\) and translation by \(u\).