Question

which of the following sequences of transformations maps lmno onto abcd? sequence a a translation 6 units to the left and 1 unit up, then a reflection over the horizontal line through point a. sequence b a 90° rotation about point o, then a translation 6 units to the left and 1 unit up.

Explanation:

To determine which sequence maps \( LMNO \) onto \( ABCD \), we analyze each sequence:

Analyzing Sequence A:

1. Translation 6 left, 1 up: Shifts \( LMNO \) so its position aligns with \( ABCD \)’s general area.
2. Reflection over horizontal line through \( A \): Flips the translated figure vertically, matching \( ABCD \)’s orientation.

Analyzing Sequence B:

A \( 90^\circ \) rotation about \( O \) would alter \( LMNO \)’s shape/orientation in a way that does not match \( ABCD \) after translation.

Thus, Sequence A correctly maps \( LMNO \) onto \( ABCD \).

Answer:

Sequence A: A translation 6 units to the left and 1 unit up, then a reflection over the horizontal line through point \( A \).