Question

the graph shows triangles lmn and lmn.
which sequence of transformations maps lmn onto lmn?
a reflection across the x - axis followed by a translation left 12 units

Explanation:

Step1: Analyze reflection across the x - axis

When a point \((x,y)\) is reflected across the \(x\) - axis, the transformation rule is \((x,y)\to(x, - y)\).

Step2: Analyze translation

After reflection, a translation left \(12\) units. The rule for translation left \(12\) units is \((x,y)\to(x - 12,y)\).

Answer:

a reflection across the \(x\) - axis followed by a translation left \(12\) units