Question

multiple choice 1 point
triangle abc is reflected over the y - axis to form triangle abc.
which statement is true?
the area of triangle abc is equal to the area of triangle abc.
the angle measure of triangle abc is equal to the angle measure of triangle abc.
the side lengths of triangle abc is congruent to the side lengths of triangle abc.
all the above.

Explanation:

When a figure is reflected over the y - axis (a type of rigid transformation), the shape and size of the figure remain unchanged.

• For area: Since the shape and size don't change, the area of triangle \(ABC\) and \(A'B'C'\) will be equal.
• For angle measures: Rigid transformations preserve angle measures, so the angle measures of \(ABC\) and \(A'B'C'\) are equal.
• For side lengths: Rigid transformations also preserve side lengths (they are congruent). So all the statements about area, angle measures, and side lengths being equal/congruent are true.

Answer:

D. All the above. (Note: Assuming the options are labeled as A, B, C, D with D being "All the above" as per the last option in the question)