Geometric Constructions: Advanced Techniques

What is the first step in finding the midpoint of a segment using a compass?

• Draw a straight line through the segment.

• Open the compass to more than half the length of the segment.

• Draw a circle around the segment.

• Place the compass at the midpoint of the segment.

Why is it important to open the compass to more than half the length of the segment?

• To ensure the arcs intersect.

• To make the construction look neat.

• To avoid drawing too many arcs.

• To make the segment longer.

What shape do the intersecting arcs form when finding the midpoint of a segment?

• A square

• A triangle

• A football shape

• A rectangle

What is the first step in bisecting an angle?

• Open the compass to more than half the length of the angle.

• Draw a circle around the angle.

• Draw a straight line through the angle.

• Place the compass at the vertex of the angle.

What do you call the point where the two arcs intersect when bisecting an angle?

• Bisector

• Intersection

• Midpoint

• Vertex

What is the result of bisecting an angle?

• A straight line

• A perpendicular line

• Two congruent angles

• A circle

What is the first step in drawing a perpendicular from a point on a line?

• Draw a straight line through the point.

• Place the compass at the point.

• Open the compass to more than half the length of the line.

• Draw a circle around the point.

What kind of angle is created when drawing a perpendicular from a point on a line?

• Straight angle

• Obtuse angle

• Acute angle

• Right angle

What is the first step in drawing a perpendicular from a point not on a line?

• Draw a straight line through the point.

• Draw a circle around the point.

• Place the compass at the point.

• Open the compass to more than half the length of the line.

What is the final step in drawing a perpendicular from a point not on a line?

• Draw a circle around the point.

• Draw a line through the intersection points.

• Place the compass at the point.

• Draw a straight line through the point.