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Medians and Centroid • A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. • A centroid is the point where all ______ of the ________ intersect.

Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

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Page 1: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Medians and Centroid• A median of a triangle is a line segment

that is drawn from the _________ to the ___________ of the opposite side.

• A centroid is the point where all ______ of the ________ intersect.

Page 2: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Angle Bisector and Incenter• An angle bisector in a triangle is drawn

from the ________ to the opposite side (not necessarily the middle) so that the _______ is cut in _______.

• The incenter is the point where all _____ of the _________________ intersect.

Page 3: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Perpendicular Bisector and Circumcenter

• A perpendicular bisector of a triangle is a segment drawn from the _________ of the side and is ______________ to that side.

• A circumcenter – is the point where all 3 _________________ ____________

Page 4: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Label each segment as a median, angle bisector, or perpendicular bisector.

1. 4.

2. 5.

3. 6.

Page 5: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Classwork

• Construct the centroid, circumcenter, and incenter for each triangle.

• Use centimeters when measuring and LABELING the side lengths

• LABEL how many degrees each angle of the triangle is.

Page 6: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Major and Minor Arc Review

• A ___________ has more than 180o

• A _____________ has less than 180o

• A ____________ is named with 3 letters

• A______________ is named with 2 letters.

• Arcs are measured by their _____________

Page 7: Medians and Centroid A median of a triangle is a line segment that is drawn from the _________ to the ___________ of the opposite side. A centroid is the

Label each major and minor arc and find its measure.

110o300o

155o

A

B

J

G

E

F

C

H

K