Download geo rev1 - Barrington 220

Geometry A review
name___________________________________________date___________
1. Find the diameter of the circle given that BC = 11, DC = 15.
O
B
C
D
diameter_______________
2. For a circle of radius 3 feet, find the arc length determined by a central angle of 6 degrees.
arc__________________
3. In the figure, ABCD is circumscribed about the circle. The vertices of ∆PQR are points of tangency.
. If ∠RPQ = 72
measures of the angles indicated.
PQ // AB
!
, ∠RQP = 54! ,
find the
R
C
D
P
Q
A
B
∠A _____________
∠D ___________
∠RPQ ___________
∠DPR __________
4. Circle O has radius 8 and circle P has radius 3. The length of the common external tangent is 12. Find the
distance between the circles.
O
P
distance____________
5. AC = 14, AB = 10, CB = 18. Find the length of the radius of the largest circle.
C
A
B
radius_____________
6. ABCD is a kite with AB = BC and AD = CD. The radius of the circle is 6 inches. Find the perimeter of the
kite ABCD. [ HINT 30-60-90 triangles ]
B
120°
C
A
D
perimeter___________
#7-16 Always, Sometimes, Never
7. The measure of a central angle is equal to the measure of its intercepted arc._____________
8. If two arcs are congruent, an inscribed angle of one arc is congruent to an inscribed angle of the
other arc.
____________
9. If two angles which are inscribed in two arcs are congruent, then the arcs are congruent. ______________
10. A point which is the midpoint of two chords of a circle is the center of the circle.________________
11. In a circle, if measure of arc AB is equal to one-half the measure of arc AC, then the chord of AB is
one-half as long as the chord AC.
________________
12. If a secant bisects a chord of a circle, then it bisects the minor arc of the chord. ________________
13. If two chords of a circle are not congruent, then the shorter chord is closer to the center.
______________
14. Two tangents to a circle at the endpoints of a diameter are parallel.
______________________
15. Two tangents to the same circle may be perpendicular to each other. ___________________
16. Any equilateral polygon may be inscribed in a circle._________________