Question

select the correct answer from the drop - down menu. compare the steps for constructing a perpendicular line to line ab through point c using a reflective device and using paper. when using paper to construct the perpendicular line, the paper is folded so that and the two sides of line ab will lie exactly on top of each other. when using a reflective device to construct a line perpendicular to line ab, set one end of the device to coincide with , and then swing the other end of the device so the reflection of line ab coincides with .

Explanation:

Step1: Recall Paper Folding Construction

When constructing a perpendicular to line \( AB \) through point \( C \) by paper folding, the goal is to make the two parts of line \( AB \) (points \( A \) and \( B \)) coincide after folding. So we fold the paper so that point \( A \) and point \( B \) are on top of each other.

Step2: Recall Reflective Device Construction

For a reflective device, to construct the perpendicular, we set one end to coincide with point \( C \), and then swing the other end so that the reflection of line \( AB \) (after reflection) coincides with line \( AB \) itself (or the two sides of \( AB \) coincide). But in the paper - folding part, the key is folding \( A \) and \( B \) together.

Answer:

When using paper to construct the perpendicular line, the paper is folded so that \( A \) and \( B \) are on top of each other. When using a reflective device to construct a line perpendicular to line \( AB \), set one end of the device to coincide with \( C \), and then swing the other end so the reflection of line \( AB \) coincides with line \( AB \). (The specific fill - in - the - blank answers would be \( A \), \( B \) for the paper folding part and \( C \), \( AB \) for the reflective device part based on typical construction procedures.)