1. 1 CPCTC SIDE-ANGLE-SIDE ANGLE-ANGLE-SIDE PROBLEM 1 SIDE-SIDE-SIDE PROBLEM 3 ANGLE-SIDE-ANGLE Standards 4 and 5 SUMMARY: CONGRUENCE IN TRIANGLES SUMMARY: CONGRUENCE IN RIGHT TRIANGLES PROBLEM 2 PROBLEM 4 LEG-LEG HYPOTENUSE-LEG LEG-ANGLE HYPOTENUSE-ANGLE PROBLEM 5 PROBLEM 6 CONGRUENCE IN TRIANGLES END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

2. 2 STANDARD 4: Students prove basic theorems involving congruence and similarity. ESTÁNDAR 4: Los estudiantes prueban teoremas que involucran congruencia y semejanza. STANDARD 5: Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. ESTÁNDAR 5: Los estudiantes prueban que son triángulos congruentes o semejantes y son capaces de usar el concepto de partes correspondientes de triángulos congruentes. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

3. 3 CONGRUENT TRIANGLES CPCTC Corresponding Parts of Congruent Triangles are Congruent CPCTC ABC KLM by CPCTC BC A L M K Standards 4 and 5 We had to prove that all six pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

4. 4 CONGRUENT TRIANGLES by SIDE-SIDE-SIDE SSS ABC KLM by SSS BC A L M K Standards 4 and 5 We only had to prove that three pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

5. 5 CONGRUENT TRIANGLES by SAS SAS ABC KLM by SAS BC A L M K Standards 4 and 5 We only had to prove that three pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

6. 6 CONGRUENT TRIANGLES by ASA ASA ABC KLM by ASA BC A L M K Standards 4 and 5 We only had to prove that three pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

7. 7 CONGRUENT TRIANGLES by AAS AAS ABC KLM by AAS BC A L M K Standards 4 and 5 We only had to prove that three pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

8. 8 Standards 4 and 5 SSS RST JKL by SSS SAS RST JKL by SAS ASA RST JKL by ASA AAS RST JKL by AAS SUMMARY: CONGRUENCE THEOREMS IN TRIANGLES R J S K T L R J S K T L R J S K T L R J S K T L PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

9. 9 List the parts that are missing to be marked as congruent for both triangles to be congruent by AAS: AAS RST JKL by AAS S T R K L J Standards 4 and 5 If SRT KJL STR KLJ Missing parts RS KJ PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

10. 10 Missing parts CPCTC ABC KLM by CPCTC BC A L M K Standards 4 and 5 List the parts that are missing to be marked as congruent for both triangles to be congruent by CPCTC: IFTHEN AB KL AC KM BC LM BAC LKM ABC KLM ACB KML PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

11. 11 List the parts that are missing to be marked as congruent for both triangles to be congruent by SAS: SAS RST JKL by SAS S T R K L J Standards 4 and 5 SR KJ RT JL If Missing parts SRT KJL PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

12. 12 List the parts that are missing to be marked as congruent for both triangles to be congruent by SSS: SSS RST JKL by SSS S T R K L J Standards 4 and 5 SR KJ RT JL If TS LK Missing parts PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

13. 13 List the parts that are missing to be marked as congruent for both triangles to be congruent by ASA: ASA RST JKL by ASA S T R K L J Standards 4 and 5 RT JL If SRT KJL Missing parts STR KLJ PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

14. 14 Standards 4 and 5 S T R K L J LL RST JKL by LL RIGHT TRIANGLES CONGRUENT BY LEG - LEG We only had to prove that two pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

15. 15 Standards 4 and 5 S T R K L J LA RST JKL by LA RIGHT TRIANGLES CONGRUENT BY LEG-ANGLE We only had to prove that two pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

16. 16 Standards 4 and 5 S T R K L J HL RST JKL by HL RIGHT TRIANGLES CONGRUENT BY HYPOTENUSE - LEG We only had to prove that two pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

17. 17 Standards 4 and 5 S T R K L J HA RST JKL by HA RIGHT TRIANGLES CONGRUENT BY HYPOTENUSE - ANGLE We only had to prove that two pairs of corresponding parts are congruent! PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

18. 18 Standards 4 and 5 HL RST JKL by HL LL RST JKL by LL LA RST JKL by LA HA RST JKL by HA SUMMARY: CONGRUENCE THEOREMS IN RIGHT TRIANGLES R J S K T L R J S K T L R J S K T L R J S K T L PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

19. 19 Standards 4 and 5 S T R K L J List the parts that are missing to be marked as congruent for both triangles to be congruent by LA? LA RST JKL by LA If STR KLJ Missing parts RS KJ PRESENTATION CREATED BY SIMON PEREZ. All rights reserved