10-4 Inscribed Angles
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10-4 Inscribed Angles a.k.a. “Scooby-Doo Clue-A-Thon III”
DAB intercepts DEB C
D
A
E B
F 55°
H
mHKG = 2• 55 = 110
110°
G
K
The intercepted arc is ALWAYS twice the measure of the inscribed angle.
B
mLMP = 145 72.5°
L 145°
M P
PBL = (1/2)145 = 72.5
C
D
A
E B
If two inscribed angles intercept the same arc, then the angles are congruent.
C
D
A
E
F
B
If you KNOW two inscribed angles are congruent, then you KNOW their intercepted arcs are congruent
B
L
M P
If the intercepted arc is a semi-circle… …then the inscribed angle is 90°
D
A
C
For ANY inscribed quadrilateral, the opposite angles are ALWAYS supplementary.
B
• That’s it for now!
DAB intercepts DEB C
D
A
E B
F 55°
H
mHKG = 2• 55 = 110
110°
G
K
The intercepted arc is ALWAYS twice the measure of the inscribed angle.
B
mLMP = 145 72.5°
L 145°
M P
PBL = (1/2)145 = 72.5
C
D
A
E B
If two inscribed angles intercept the same arc, then the angles are congruent.
C
D
A
E
F
B
If you KNOW two inscribed angles are congruent, then you KNOW their intercepted arcs are congruent
B
L
M P
If the intercepted arc is a semi-circle… …then the inscribed angle is 90°
D
A
C
For ANY inscribed quadrilateral, the opposite angles are ALWAYS supplementary.
B
• That’s it for now!
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