Inscribed and Circumscribed Circles

Find a and b.

• a=74 degrees
  b=93 degrees
• a=93 degrees
  b=74 degrees
• a=87 degrees
  b=106 degrees
• a=106 degrees
  b=87 degrees

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

Define: CIRCUMSCRIBED ABOUT

• the point of intersection of three or more lines 
• when a circle passes through the three vertices of a triangle 
• the intersection point of the three angle bisectors of a triangle 
• when a circle is tangent to the three sides of a triangle 

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Circumcenter
• Orthocenter

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

When you draw the angle bisectors of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Circumcenter
• Orthocenter

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.D.12

Opposite angles of a cyclic quad are  ____________________________.

• congruent
• supplementary
• perpendicular
• complimentary

Find a.

• a = 57 degrees
• a = 123 degrees
• a = 94 degrees
• a = 29 degrees

What is the center of the circle circumscribed about this triangle?

• (6, 3)
• (9, 5)
• (6, 5)
• (7, 4.5)

What is the center of the circle circumscribed about this triangle?

• (3, 2)
• (3, 0)
• (5, 2)
• (5, 0)