Question

help! I'll give a medal and become a fan.

Answer 1

Kathy uses the following steps to construct a perpendicular line through a point C on a line segment:

Step 1: From point C, draw two arcs intersecting the line segment in points A and B.
Step 2: Using slightly more compass width, draw two arcs from point A, one above and the other below the line segment.
Step 3: Using the same width of the compass, draw two arcs from point B, above and below the line segment.
Step 4: Label the point of intersection of the arcs above the line segment as F and below the line as E.
Step 5: Using a compass, join E and F.

Part A: Which is the first incorrect step?
Part B: Using complete sentences, explain your answer for Part A.
Part C: Explain why a compass works for the construction done by Kathy.

Answer 2

The first incorrect step is actually the last one, step 5. For part B, she can't connect a E and F using a compass- that's for drawing arcs. She would need a straight edge. The compass works because she uses it in a manner that utilizes the various properties of circles, primarily the fact that the edge of the circle is constantly at the same distance from the centerpoint of the circle.

Answer 3

can you help me with another one? @1lorax2