Angle Bisector and Perpendicular Segment Bisector Constructions

Find SV and justification

• 18, Angle bisector theorem

• 36 Angle bisector theorem

• 18, Converse of angle bisector theorem

• 9, Converse of angle bisector theorem

Find HG and justify. Select all that apply.

• 28

• 14

• Perpendicular Bisector Theorem

• Converse of Perpendicular Bisector Theorem

Find PQ and justify. Select all that apply.

• Perpendicular Bisector Theorem

• Converse Perpendicular Bisector Theorem

• 3

• Angle Bisector Theorem

What is the length of DC and theorem

• 4, perpendicular bisector theorem

• 1, perpendicular bisector theorem

• 4, converse of the perpendicular bisector theorem

• 1, converse of the perpendicular bisector theorem

A line, segment, or ray that divides an angle in half

• Perpendicular bisector
• Vertical angles
• Angle bisector
• Midsegment

A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.

• Perpendicular bisector
• Angle bisector
• Median
• Altitude

Find the measure of Angle NJZ and justify. Select all that apply.

• Converse of Angle bisector theorem.

• Angle bisector theorem.

• 38 degrees

• 76 degrees

• Converse of perpendicular bisector

Name the dashed segment:

• altitude
• angle bisector
• perpendicular bisector
• median

Which point of concurrency is the intersection of the perpendicular bisectors of a triangle?

• centroid

• incenter

• orthocenter

• circumcenter

Which of the following statements is correct about the circumcenter of a triangle?

• It's the intersection of the bisectors of the triangle's three angles AND
  is equidistant from the triangle's three vertices
• It's the intersection of the bisectors of the triangle's three angles AND 
  is equidistant from the triangle's three sides
• It's the intersection of the perpendicular bisectors of the triangle's three sides AND 
  is equidistant from the triangle's three vertices
• It's the intersection of the perpendicular bisectors of the triangle's three sides AND 
  is equidistant from the triangle's three vertices