Triangle Congruence CPCTC - White Plains Middle School · Prove: PQ PS Given: PR bisects QPS and QRS. SWBAT: Use CPCTC to prove parts of triangles are congruent. Statements Reasons

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.