Lesson 9 Practice Problems

Which construction can be used to determine whether point C is closer to point A or point B?

• Construct a line perpendicular to segment AB through point C.

• Construct triangle ABC.

• Construct the bisector of angle ACB.

• Construct the perpendicular bisector of segment AB.

Which construction could be used to construct an isosceles triangle ABC given line segment AB?

• Mark a third point C not on segment AB. Draw segments AC and BC.

• Construct the perpendicular bisector of segment AB. Mark the intersection of this line and AB and label it C. Draw segments AC and BC.

• Construct the perpendicular bisector of segment AB. Mark any point C on the perpendicular bisector except where it intersects AB. Draw segments AC and BC.

• Label a point C on segment AB and construct a line perpendicular to AB through point C. Draw segments AC and BC.

Select all true statements about regular polygons.

• There are exactly 4 sides.

• All angles are congruent.

• All side lengths are equal.

• All angles are right angles.

Is it important that the circle with center B passes through D and that the circle with center D passes through B?

• No

• Only if the circles are congruent

• Yes

• Only if the circles are tangent

Which of the following is a true statement about perpendicular bisectors in a triangle?

• They always intersect at the centroid.

• They always intersect at the orthocenter.

• They always intersect at the circumcenter.

• They always intersect at the incenter.

Which statement is true about the perpendicular bisector of a line segment?

• It is always shorter than the segment.

• It is always longer than the segment.

• It is parallel to the segment.

• It divides the segment into two equal parts.

What is the purpose of constructing the perpendicular bisector of a segment?

• To find the volume of the segment.

• To find the area of the segment.

• To find the midpoint of the segment.

• To find the length of the segment.

Which of the following is a property of an isosceles triangle?

• All sides are equal.

• No sides are equal.

• All angles are right angles.

• Two sides are equal.

What is the result of constructing the bisector of an angle?

• The angle is halved.

• The angle is doubled.

• The angle is divided into two equal parts.

• The angle is tripled.