Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure ACB onto itself?
2 answers:
Answer:
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
- A(1,1)→A'(1,-1)
- B(5,1)→B'(5,-1)
- C(3,4)→C'(3,-4)
Rptation by 180° has the rule
(x,y)→(-x,-y),
so
- A'(1,-1)→A''(-1,1)
- B'(5,-1)→B''(-5,1)
- C'(3,-4)→C''(-3,4)
These points A'', B'', C'' differ from original vertices, so the image triangle is not the same as the pre-image triangle.
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Answer:
x = 0
Step-by-step explanation:
0 = x²
√(0) = x
x = 0
Screenshot of Desmos graph attached showing y = x² and y = 0 intersecting.
