Question

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 size of the triangle does not change, the area of triangle \(ABC\) and \(A'B'C'\) will be equal.
• For angle measures: Rigid transformations preserve the angle measures of the figure, so the angle measures of \(ABC\) and \(A'B'C'\) are equal.
• For side lengths: Rigid transformations also preserve the side lengths, meaning the side lengths of \(ABC\) and \(A'B'C'\) are congruent.

Since all the first three statements are true, the correct option is "All the above".

Answer:

All the above.