Triangle Congruence CPCTC - White Plains Middle School · Prove: PQ PS Given: PR bisects QPS and...
Transcript of Triangle Congruence CPCTC - White Plains Middle School · Prove: PQ PS Given: PR bisects QPS and...
Triangle CongruenceCPCTC
November 2, 2011
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Z
SWBAT: Use CPCTC to prove parts of triangles are congruent.
ReasonsStatements
5. SSS (2, 3, 4)5. ∆XYW ∆ZYW
4. Reflex. Prop.
2. Def of midpoint
1. Given
2. XW ZW
4. YW YW
3. Given
1. W is the mdpt of XZ
3. XY YZ
S
S
S
6. ∡XYW ∡ZYW 6. If s Corr. parts
(CPCTC)
X
XYW ZYW By SSS
Prove: PQ PS
Given: PR bisects QPS and QRS.
SWBAT: Use CPCTC to prove parts of triangles are congruent.
ReasonsStatements
1. Given
4. ∆PQR ∆PSR 4. ASA (2, 3, 2)
A
S
A
1. PR bisects QPS and QRS
3. Reflexive Prop.3. PR PR
2. ∡1 ∡2
∡3 ∡4
2. Def. of angle bisector
X
5. PQ PS 5. If s Corr. parts
(CPCTC)
12
34PQR PSR
By ASA
ReasonsStatements
7. 7. Given
A
1. Given
5. FC FC
6. Addition Post. (4, 5)
2. Def. of lines
1.
3. All right ∡s
4. Given
2. ∡1 and ∡2 are right s
3. ∡1 ∡2
5. Reflexive Prop.
8. ∆EDF ∆ BAC 8. AAS (3,7,6)
S
SWBAT: Use CPCTC to prove parts of triangles are congruent.
1
2
4.
6. DF AC
9. 9. If s Corr. parts
(CPCTC)
A
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Student Response
SWBAT: Use CPCTC to prove parts of triangles are congruent.
Proofs Involving the Circles
SWBAT: Use CPCTC to prove parts of triangles are congruent.