Question

select the correct answer from each drop - down menu.
the sequence of transformations that can be performed on quadrilateral abcd to show that it is congruent to quadrilateral ghij is a
reflection across the y - axis
90 - degree counterclockwise rotation about point a
90 - degree clockwise rotation about point a
90 - degree counterclockwise rotation about point b
followed by a

Explanation:

Step1: Analyze the orientation and position

First, observe the position and orientation of quadrilaterals \(ABCD\) and \(GHIJ\). A \(90 -\) degree clockwise rotation about point \(A\) will change the orientation of \(ABCD\).

Step2: Check the translation

After a \(90 -\) degree clockwise rotation about point \(A\), a translation (which is a shift) is needed to map the rotated \(ABCD\) to \(GHIJ\).

Answer:

The first drop - down: \(90 -\) degree clockwise rotation about point \(A\); the second drop - down: translation.