4.4 and try prob.’s # 3, 6-9, 11, 12, 15, 20, 21, 24
D
#6. Given: AG ⊥ bis BC
B
G
AG ⊥ bis DE
F
A
C
Concl.: BD ≅ CE
E
1.
AG ⊥ bis BC
Given
2.
BA ≅ CA
3.
AG ⊥ bis DE
If a pt. is on a ⊥ bis. of a seg. then it is equidistant
from the endpoints of that seg
Given
DA ≅ EA
5. BD ≅ CE
4.
7.
same as #2
Subtraction
How much greater than the x-coordinate of the midpoint of OA
is the mdpt of AB?
_____
8.
Where will the perpendicular drawn from T to PA cross PA?
______
9. If
CAP is slid along the x-axis until C is at (11, 0), what
will be the new coordinates of P?
_________
11. Draw isos. ∆PQR w/vertex P. If the base angles are bisected and intersect at point S,
Prove PS ⊥ QR
A
12. Given: AB ≅ BC and AE ≅ EC
B
E
F
D
Prove: AD ≅ DC
C
Given
2.
AB ≅ BC
AE ≅ EC
3.
BE ⊥ bis AC
4.
AD ≅ DC
If two points are equidistant from the endpoints of
a seg. then they determine the ⊥ bis. of that seg.
If a pt. is on a ⊥ bis. of a seg. then it is equidistant
from the endpoints of that seg
1.
Given
D
#15. Given: ∠ADC & ∠ABC are rt. ∠' s and AB ≅ AD
A
C
E
Prove: AC ⊥ bis BD
B
1.
∠ADC & ∠ABC are rt. ∠' s
2.
3.
4.
AB ≅ AD
AC ≅ AC
∆ADC ≅ ∆ABC
5.
DC ≅ BC
6.
AC ⊥ bis BD
Given
Given
Reflexive
HL
Cpctc
If two points are equidistant from the endpoints of
a seg. then they determine the ⊥ bis. of that seg.
#20. Given: AE ≅ EC and AB ≅ BC
Prove: AD ≅ DC
Given
2.
AE ≅ EC and AB ≅ BC
Draw AC
3.
BE ⊥ bis AC
4.
AD ≅ DC
If 2 pts are each equidistant from the endpts. of a
seg. then they determine the ⊥ bis of that seg.
If a pt. is on a ⊥ bis. of a seg. then it is equidistant
from the endpoints of that seg
1.
2 pts determine a seg

GEOMETRY Worksheet

proof packet - Mary Star of the Sea High School