Subjects geometry

Perpendicular Bisector Cf98F0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is about the steps to construct a perpendicular bisector of a segment XY. 2. Step 1 is to draw the segment XY. 3. Step 2 is to place the compass at point X and set it to more than half the length of XY. 4. Step 3 is to draw arcs above and below the segment XY using the compass at X. 5. Step 4 is to place the compass at point Y without changing the compass width and draw arcs above and below XY, creating intersections P and Q. 6. The next step after Step 4 is to draw a straight line through points P and Q. This line will be the perpendicular bisector of segment XY. 7. This construction uses the property that the perpendicular bisector of a segment is the locus of points equidistant from the segment's endpoints. 8. By drawing arcs from X and Y with the same radius, the intersections P and Q are equidistant from X and Y, so the line through P and Q is perpendicular to XY and bisects it. Final answer: Draw the line through points P and Q to complete the perpendicular bisector construction.