Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

A

Step-by-step explanation:

Triangle ABC has vertices A(1,1), B(5,1) and C(3,4).

Reflectio across the x-axis has the rule:

(x,y)→(x,-y),

so

Rptation by 180° has the rule

(x,y)→(-x,-y),

so

These points A'', B'', C'' differ from original vertices, so the image triangle is not the same as the pre-image triangle.

the answer is ! ?

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.