Unit 4 Lesson 4 Prove Triangles Congruent by
![Unit 4 Lesson 4 Prove Triangles Congruent by ASA and AAS Unit 4 Lesson 4 Prove Triangles Congruent by ASA and AAS](https://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-1.jpg)
Unit 4 Lesson 4 Prove Triangles Congruent by ASA and AAS
![Angle-Side-Angle (ASA) Congruence Postulate E A 4 cm F B C 4 cm D Angle-Side-Angle (ASA) Congruence Postulate E A 4 cm F B C 4 cm D](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-2.jpg)
Angle-Side-Angle (ASA) Congruence Postulate E A 4 cm F B C 4 cm D
![If two angles and the _______ side of included congruent to two angles one If two angles and the _______ side of included congruent to two angles one](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-3.jpg)
If two angles and the _______ side of included congruent to two angles one triangle are _______ included and the ______ side of a second triangle, then the two triangles are ________. congruent
![Angle-Side (AAS) Congruence Theorem E A F B C D Angle-Side (AAS) Congruence Theorem E A F B C D](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-4.jpg)
Angle-Side (AAS) Congruence Theorem E A F B C D
![OR Angle-Side (AAS) Congruence Theorem E A F B C D OR Angle-Side (AAS) Congruence Theorem E A F B C D](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-5.jpg)
OR Angle-Side (AAS) Congruence Theorem E A F B C D
![nonincluded If two angles and a ___________ congruent side of one triangle are ________ nonincluded If two angles and a ___________ congruent side of one triangle are ________](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-6.jpg)
nonincluded If two angles and a ___________ congruent side of one triangle are ________ to two angles and the corresponding nonincluded __________ side of a second triangle, then the two triangles are congruent ________.
![Does AAA work? Does AAA work?](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-7.jpg)
Does AAA work?
![Does AAA work? NO! Does AAA work? NO!](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-8.jpg)
Does AAA work? NO!
![Does SSA work? No! There is no SSA in geometry! Does SSA work? No! There is no SSA in geometry!](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-9.jpg)
Does SSA work? No! There is no SSA in geometry!
![Given: Prove: ∆ABC ∆DCB Statements Reasons 1. 2. BCD CBA 3. 2. 3. 4. Given: Prove: ∆ABC ∆DCB Statements Reasons 1. 2. BCD CBA 3. 2. 3. 4.](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-10.jpg)
Given: Prove: ∆ABC ∆DCB Statements Reasons 1. 2. BCD CBA 3. 2. 3. 4. 5. 6. 4. BCA CBD 5. BC 6. ∆ABC ∆DCB Given alternate interior angles Reflexive Prop. ASA
![Given: Prove: Statements 1. 2. 3. 4. ABD EBC 5. ∆ABD ∆EBC Reasons 1. Given: Prove: Statements 1. 2. 3. 4. ABD EBC 5. ∆ABD ∆EBC Reasons 1.](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-11.jpg)
Given: Prove: Statements 1. 2. 3. 4. ABD EBC 5. ∆ABD ∆EBC Reasons 1. Given 2. Def. of segment bisector 3. Given 4. vertical angles 5. AAS
![Decide whether the triangles are congruent. Explain your reasoning. Yes, ASA Decide whether the triangles are congruent. Explain your reasoning. Yes, ASA](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-12.jpg)
Decide whether the triangles are congruent. Explain your reasoning. Yes, ASA
![Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-13.jpg)
Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS
![Decide whether the triangles are congruent. Explain your reasoning. Yes, SAS Decide whether the triangles are congruent. Explain your reasoning. Yes, SAS](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-14.jpg)
Decide whether the triangles are congruent. Explain your reasoning. Yes, SAS
![Decide whether the triangles are congruent. Explain your reasoning. No, SSA doesn’t work! Decide whether the triangles are congruent. Explain your reasoning. No, SSA doesn’t work!](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-15.jpg)
Decide whether the triangles are congruent. Explain your reasoning. No, SSA doesn’t work!
![Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-16.jpg)
Decide whether the triangles are congruent. Explain your reasoning. Yes, AAS
![HW Problem LT 4. 2 Assignment 4. 5 Worksheet Due HW Problem LT 4. 2 Assignment 4. 5 Worksheet Due](http://slidetodoc.com/presentation_image_h/fd0c2070eb13fccc36d58f35c77ae048/image-17.jpg)
HW Problem LT 4. 2 Assignment 4. 5 Worksheet Due
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