Study Guide Station #6

Which of the following best defines an angle bisector?

• A line that divides an angle into two equal parts

• A line that divides a segment into two equal parts at a right angle

• A line that passes through the vertex of an angle

• A line that is parallel to one side of a triangle

What tool is essential for constructing an angle bisector?

• Protractor

• Compass and straightedge

• Ruler only

• Calculator

Which of the following is the correct definition of a perpendicular bisector?

• A line that divides an angle into two equal parts

• A line that divides a segment into two equal parts at a right angle

• A line that passes through the vertex of an angle

• A line that is parallel to a given segment

Which of the following statements is true about the points on the perpendicular bisector of a segment?

• They are all equidistant from the endpoints of the segment

• They are all closer to one endpoint than the other

• They are all on the segment itself

• They are all at a fixed distance from the midpoint

What is the purpose of using a straightedge in geometric constructions?

• To measure angles

• To draw straight lines

• To draw circles

• To erase mistakes

Which construction tool is used to draw arcs and circles?

• Protractor

• Compass

• Ruler

• Set square

Which of the following is NOT a step in constructing an angle bisector?

• Placing the compass at the angle's vertex

• Drawing arcs that intersect both sides of the angle

• Drawing a line through the intersection points of the arcs

• Measuring the angle with a protractor

When constructing a perpendicular bisector, why must the compass width be more than half the length of the segment?

• To ensure the arcs intersect above and below the segment

• To make the construction faster

• To avoid drawing over the segment

• To measure the segment accurately