Inscribed and Circumscribed Circle and Triangles

The measure of an inscribed angle that intercepts a semicircle is a(n) ___________ angle.

• right

• acute

• obtuse

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

Find the value of x

• 100

• 105

• 95

• 90

Find m∠PRQ.

• 39°

• 90°

• 51°

• 15°

• 12

• 53

• 96

• 90

Look at the inscribed circle of a triangle. Select the correct step from each box to complete the construction for inscribed circle of a triangle. Step 1:​ (a)   Step 2:​ (b)   ​ Step 3: Construct the bisectors long enough, so that you see their point of intersection. Step 4: ​ (c)   Step 5: Mark the point on the side through which this perpendicular passes. Step 6: Using a compass, draw the circle with the center at the intersection point that passes through the point you obtained in Step 5.​

• Draw a triangle

• Draw a median

• Draw a square

• Construct an angle bisector

• Construct a perpendicular bisectoer

• Construct a circle

• Construct a line perpendicular to any side that pa

• Construct a perpendicular side

• Construct a circle similar to the triangle

Which word describes the circle and the point of intersection of the 3 lines?

• inscribed and incenter

• inscribed and circumcenter

• circumscribed and incenter

• circumscribed and circumcenter

Find the measure of arc AB.

• 17 degrees

• 34 degrees

• 68 degrees

• 146 degrees

Angle R is right because

• the triangles is circumscribed and SQ is a radius

• the triangles is inscribed and SQ is a radius

• the triangles is inscribed and SQ is a diameter

• triangle QRS is inscribed

Triangle ABC is an equilateral triangle. Find the measure of the red arc or chord in circle C.

• 180

• 60

• 120

• 34