Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a rotation. Question 20 options: A) 180° B) 28° C) 56° D) 112°

D) 112°

Step-by-step explanation:

Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.

The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.

The reflection of the given point along l and then m will cause a 112° rotation.