Download - Unit #11: Arcs and Angles in Circles
Unit #11: Arcs and Angles in Circles
Circle Terminology
Circle Formulas
“Central” Station
“Inscribed” Station
“Interior” Station
Exterior Angles/BIG Circle
Unit #11 Test Review
Diameter: Radius:
Inscribed Angle: Central Angle:
Intercepted Arc: Major Arc:
Minor Arc: Chord:
Secant: Tangent:
Central Angle: Inscribed Angle:
(OR Tangent Chord Angle):
Interior Angle:
Exterior Angle:
“Central” Station: 1) Given the diagram find the measure of:
2) Given: Circle A, solve for x. 3) Given: Circle O, solve for x and y.
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“Inscribed” Station:
1) Given: Diameter AOB 2) Given: Circle O, tangent BA , chord .AC
3) Given: Chords AB and BC 4) Given: Diameter AOB
5) Given: Circle A 6) Given: Diameter AOB
“Interior” Station:
1) Given: Chords AB and CD 2) Given: Chords AB and CD Solve for x. Solve for x.
** 3) Solve for X: 4) Chords MN and PQ intersect at
point R in circle O. If mMQ = 112 and
mPN =80, what is the measure of
m MRQ ?
5) In circle O, chords CH and AD intersect at point Q inside the circle. If m AQH = 51 and
mCD = 64 find the mAH .
Name: _________________________________ Day __ Per __
Geometry Lab Exterior <
Formula:
1) From an external point, two tangents are drawn to a circle. If the tangent intercepts a major arc of
204o, what is the measure of the angle formed by the tangents?
2) Solve for x: 3) Solve for x:
4) Solve for X: 5) Solve for X:
6) Solve for X: 7) Solve for X:
8) Solve for X:
The BIG Circle Question 9)
: 60 ; 40; 2 16,
' 1 12
OGiven CircleO withtangent MN and mSN mQP x mPN x SQ x
find themeasures of s
Name:_________________________________ Day __ Per __
Geometry Lab Unit #11: Circle Test Review
1) Given: circle Z with MA//RG, MA≅GR 2) Find the measure of <MAZ
Find the mGR .
3) In the accompanying diagram, IP and PG 4) Solve for x.
are tangent to circle M from point P.
If m<IPG = 63o find m<I
5) Find x 6) CD is the altitude to the
hypotenuse AB of rt. ABC. Find the
length of AD if AC=6 and AB = 10
7) Given ABC, with centroid E, 8) In MAT, H and S are midpoints.
if AF=18, find AE. If the slope of HS =1
2, what if the slope of
TA? If m<MSH = 12x+28 and the
m<MAT = 16x-40, find <MSH.
9) Given the statement: “If I see flowers blooming, then it is not winter.”
Write the following:
a) Inverse:
b) Converse:
c) Contrapositive:
d) Which of the above is logically equivalent to the original statement?
10) The endpoints of CD are C (-2a,-4b) and D (6a, 2b).
a) Find the midpoint of CD? b) Find the slope of CD?
11) Write the equation of the line that contains the point (3,-1) and is perpendicular to the
line 3x +2y = 2.
12) The coordinates of the midpoint of AB are (2,4), and the coordinates of point B are
(3,7). What are the coordinates of point A?
13) Given: PA//UE
Prove: PQ x UQ = EQ x AQ
14) Given circle O with Tangent DE and
Find the measure of each numbered angle.
D