Question

What composition transformation rule has LMH, L(1,1), M (7,2), and N (5,7) map onto L”M”N”L” (2.-1)M” (-4,0) and N (-2,5)

Answer 1

The composition transformation rule that has LMH, L(1,1), M (7,2), and N (5,7) map onto L”M”N”L” (2.-1)M” (-4,0) and N (-2,5) is a translation followed by a reflection.

The translation involves moving each point by a certain amount in the x-direction and y-direction. In this case, the translation for LMH is from (1,1) to (2,-1), the translation for M is from (7,2) to (-4,0), and the translation for N is from (5,7) to (-2,5).

The reflection involves flipping the points over a line. In this case, the reflection is occurring along the x-axis, which means the y-coordinate of each point will be negated.

So, the composition transformation rule is:
- Translate each point by the specified amounts in the x and y directions
- Reflect each point over the x-axis

Applying this rule to LMH, L(1,1) becomes L” (1+2,-1) = (3,-1), M (7,2) becomes M” (7-4,0) = (3,0), and N (5,7) becomes N” (5-2,-5) = (3,-5).