Incenters of Triangles

The incenter is the point at which all the ______ of a triangle meet.

• altitudes

• angle bisectors

• medians

• perpendicular bisectors

What is the special property for incenters?

• The distance from the incenter to the sides will all be the same.

• The distance from the incenter to the vertices will all be the same.

• The incenter is always at the center of the triangle.

• The incenter is always outside the triangle.

One of the examples from the video is shown. What is the length of BG?

• 8

• 16

• 17

• 34

One example from the video is shown. What was used in order to find the length of JP?

• Triangle Sum Theorem (triangle = 180)

• Trig (SOH-CAH-TOA)

• Pythagorean Theorem (a² + b² = c²)

• CPCTC

One example from the video is shown. What is the length of JP?

• 5

• 11

• 12

• 7

P is the incenter of triangle JKL. Find NP.

• 8

• 13

• 17

• 4

P is the incenter of triangle JKL. Find OP.

• 8

• 13

• 17

• 4

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

• 8.95

• 9.35

• 10.25

• 12.65

P is the incenter of triangle JKL. Find LO.

Hint: you will have to use pythagorean theorem

• 9.75

• 10.25

• 11.05

• 12.55