Relationships in Triangles

The point of concurrency of the three medians of a triangle is called the __________.

• circumcenter

• incenter

• centroid

• orthocenter

The segment that connects a vertex to the midpoint of the opposite side of a triangle is the ________.

• midsegment

• perpendicular bisector

• median

• altitude

The Centroid is the intersection of the _______ in a triangle.

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The Incenter is the intersection of the _______ in a triangle.

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The Circumcenter is the intersection of the _______ in a triangle.

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Point D is the centroid of Triangle ABC. Determine the length of EC

• 11

• 22

• 33

• 44

List the sides in order from shortest to longest.

• DE, EF, DF

• Angle E, Angle D, Angle F

• DF, EF, DE

• Angle F, Angle D, Angle E

Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?

• 5 < x < 19

• 5 > x > 19

• 5 < x > 19

• 4 < x < 20

Which set of 3 sides could create a triangle?

• 2, 3, 5

• 4, 9, 14

• 7, 8, 21

• 5, 6, 7

The _____________________ of a triangle is equidistant from the vertices of the triangle.

• incenter (angle bisectors)

• circumcenter (perpendicular bisectors)

• centroid (medians)

• ortho center (altitudes)