Midsegments, Perpendicular Bisectors, Angle Bisectors, Circumcenter, and Center

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centriod

Tags

CCSS.HSG.C.A.3

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Tags

CCSS.HSG.C.A.3

The place where all three perpendicular bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

Find the length of PO.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.3

What is the relationship between perpendicular bisectors and circumcenter?

• Perpendicular bisectors are lines that connect the vertices of a triangle to the circumcenter.

• The circumcenter is the midpoint of the perpendicular bisectors of the sides of a triangle.

• The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

• The circumcenter is the point where the medians of a triangle intersect.

Tags

CCSS.HSG.C.A.3

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

Tags

CCSS.HSG.SRT.B.5

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Tags

CCSS.HSG.SRT.B.4

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

If S is the incenter, what type of segments are drawn?

• medians

• angle bisectors

• perpendicular bisectors

• altitudes

Tags

CCSS.HSG.C.A.3