Aim #8: How do we do proofs involving circles?
B
1.
A
Given: BC = BA, CD = AE
,
BD ≅ BE
Prove: ΔBCD ≅ΔBAE
C
E
D
Statements
Reasons
A 2.
3. Given: Chords AD, BC of circle O intersect at E.
AB ≅ CD
Prove: ΔABE ≅ ΔCDE
C
E
O
Statements
Reasons
B
D
B
1.
A
C
E
D
3. Given: Circle O, diameter AB, tangent DC
E
with midpoint B
Prove: AB bisects ≮DAC
A
O
B
F
Statements
Reasons
4. Given: diameter AB, tangent CB, secant ADC
Prove: a) ΔABC ~ ΔADB
= AB
b) AC
AB AD
Statements
Reasons
D
C
5. Given: Secants PQR and TSR intersect at external point R.
Prove: PR•QR = TR•SR
Statements
Reasons