Download Inscribed Angles Name___________________________

Name___________________________
Date____________________________
Inscribed Angles
1) Draw the following diagrams:
A 90-degree angle inscribed in a circle.
A 60-degree angle inscribed in a circle.
A rhombus inscribed in a circle.
2) In the following diagrams, O is the center of the circle. Find the values of x, y,
and z.
100
y
z
>>
x
x
z
y
O
50
100
>>
90
3) Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E.
Name two pairs of similar triangles.
4) Equilateral triangle ABC is inscribed in a circle. P and Q are midpoints of arc
BC and arc CA, respectively. What kind of figure is quadrilateral AQPB? Justify
your answer.
5) Quadrilateral ABCD is inscribed in a circle. If mA = x2, mB = 9x – 2, and
mC = 11x, find x and mD .
6) Given PQ SR :
Prove: PS QR
X
Q
P
Y
S
7) Angle C of ABC is a right angle.
The sides of the triangle have the
lengths shown. The smallest circle (not
shown) through C that is tangent to AB
intersects AC at J and BC at K.
Express the distance JK in terms of a,
b, and c.
R
C
a
b
A
c
B