Download Tuesday Circles

CIRCLEScincoDEmayo.notebook
May 05, 2015
OBJ: To identify common tangents and tangent 's Red lines: common external tangents
Blue lines: common internal tangents
Red lines: common external tangents
Blue line: common internal tangent
's: are tangent(externally)
Red lines: common external tangents
No common tangents
's are internally tangent
Red Line: common external tangent
P 352 (1­6)
CirclesTUESDAY
CIRCLEScincoDEmayo.notebook
GIVEN:Circumscribed quadrilateralABCD and
AB= 12; BC=15; CD=25.
Find AD
A
B
D
C
P 349(24); P342(1­6); P354AR(ALL)
fig per section
CirclesTUESDAY
May 05, 2015
CIRCLEScincoDEmayo.notebook
May 05, 2015
RADII of the same are ≅ !!
er
rite
o
ap
n p
W
EF is a common tangent to A and B.
What does this tell us? ­
­
­ E
F
A
C
AC=7
DB=2
AB = 13
Find EF
CirclesTUESDAY
D
B
CIRCLEScincoDEmayo.notebook
May 05, 2015
AB is a common tangent to E and F.
What does this tell us? ­
­
­ A
B
E
C
D
Given: EC=10; FB
CirclesTUESDAY
F
CIRCLEScincoDEmayo.notebook
May 05, 2015
OBJ: to look at parts of a A
32o
B
AB (read arc AB)
BA (same arc)
BC or CB
50o
C
mAB = 32o
mBC =?
m AC =? Arc Addition Postulate
CirclesTUESDAY
CIRCLEScincoDEmayo.notebook
May 05, 2015
X
60o
A
C
B
65o
.
Y
A 360o arc degrees
CD is diameter
BC cannot be used to name
semi circle
If the arc is > 180o must use 3 letters.
CXB
Minor arc: use 2 letters
Major arc: use 3 letters
Semi : use 3 letters
Find the following: mCX
m XCY
CirclesTUESDAY
mCXB = 180o
m CY m XY
m XCB
m XYB
CIRCLEScincoDEmayo.notebook
May 05, 2015
What you will need: Paper plate ruler protractor pencil or pen
X
Y
?
L
11
550o
o
?
Z
PAPER PLATE: ­Find the center(two folds)
­Mark the center and put either your first name initial or last name initial by the center dot. ( mine is L)
­Mark 3 other dots on the circle and name these points X, Y, and Z.
­Draw a segment from one of your points to the center
(what is this called?)
­Draw a segment from another point to the center.
­Measure that angle and write it inside the angle.
­Draw a segment from the third point to each of the other
two points. (what are these segements called?)
­Measure that angle and write it inside the angle. How do these two angle measures relate to each other?
CirclesTUESDAY
CIRCLEScincoDEmayo.notebook
May 05, 2015
The angles with the center as a vertex and sides are radii are called central angles. The angles with the vertex on the circle and sides are chords are called incsribed angles. What did you learn from the paper plate?
How do these two types of angles relate?
m of central angle = measure of the arc m of inscribed angle = one half the measure of the arc. P 352(9, 11) P353(6­8) fig;(9­12) fig each problem
P 357 CE(1+14) 1 fig; P 357 Ex(1­7) 1 fig
CirclesTUESDAY
CIRCLEScincoDEmayo.notebook
CirclesTUESDAY
May 05, 2015