Lesson 5A.6 Sections 5.6.3 and 5.6.4

Points of Concurrency

Midsegments • Midsegments are line segments created by connecting

the midpoints of two sides of a triangle. X is the midpoint of AB Y is the midpoint of BC

• Every triangle has three midsegments.

WB Page 307

WB Page 308

Angle Bisector: A line or line segment that divides the angle into two equal parts.

•

Perpendicular Bisector: A line that passes through the midpoint of the side of a triangle at a 90 degree angle.

Altitude: A line or line segment that intersects the side of a triangle at a 90 degree angle

Median: A line or line segment that intersects the side of a triangle from one angle to the midpoint of the opposite side.

Answer #’s 1-6 on your worksheet

Point of Concurrency: The point at which three or more lines intersect

• Let’s identify the point of concurrency for angle bisectors, medians, altitudes and perpendicular bisectors!!!

• http://www.geogebratube.org/student/m21840

• Fill them in on your worksheet as we go.

Circumcenter Theorem

Circumcenter

Incenter Theorem

Incenter

Centroid Theorem

Centroid

Orthocenter

Examples on guided notes

• Homework: –WB Page 313-314 #’s 1-4 –RB Page U5-225 #’s 1 and 4 –5A.6 Worksheet