Proving Triangles are Congruent SSS and SAS Chapter
![Proving Triangles are Congruent SSS and SAS Chapter 4. 4 Video 2: 21 -7: Proving Triangles are Congruent SSS and SAS Chapter 4. 4 Video 2: 21 -7:](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-1.jpg)
![SSS Theorem • If all three sides of one triangle, are congruent to the SSS Theorem • If all three sides of one triangle, are congruent to the](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-2.jpg)
![SSS Theorem Y B X A C ABC XYZ Z SSS Theorem Y B X A C ABC XYZ Z](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-3.jpg)
![Write a two column proof: Given: AB AC and Prove: BXA CXA B BX Write a two column proof: Given: AB AC and Prove: BXA CXA B BX](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-4.jpg)
![B. Determine which postulate can be used to prove that the triangles are congruent. B. Determine which postulate can be used to prove that the triangles are congruent.](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-5.jpg)
![Proof: Statements 1. 2. 3. ΔABG ΔCBG Reasons 1. Given reflexive 2. _____ 3. Proof: Statements 1. 2. 3. ΔABG ΔCBG Reasons 1. Given reflexive 2. _____ 3.](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-6.jpg)
![SAS Theorem • If two sides and the included angle of one triangle, are SAS Theorem • If two sides and the included angle of one triangle, are](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-7.jpg)
![SAS Theorem Y B X A C ABC XYZ Z SAS Theorem Y B X A C ABC XYZ Z](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-8.jpg)
![Determine which postulate can be used to prove that the triangles are congruent. If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-9.jpg)
![Determine which postulate can be used to prove that the triangles are congruent. If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-10.jpg)
![Determine which postulate can be used to prove that the triangles are congruent. If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-11.jpg)
![Homework Chapter 4 -4 • Pg 229 1 -6 all 9, 10 15 -18 Homework Chapter 4 -4 • Pg 229 1 -6 all 9, 10 15 -18](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-12.jpg)
- Slides: 12
![Proving Triangles are Congruent SSS and SAS Chapter 4 4 Video 2 21 7 Proving Triangles are Congruent SSS and SAS Chapter 4. 4 Video 2: 21 -7:](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-1.jpg)
Proving Triangles are Congruent SSS and SAS Chapter 4. 4 Video 2: 21 -7: 42
![SSS Theorem If all three sides of one triangle are congruent to the SSS Theorem • If all three sides of one triangle, are congruent to the](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-2.jpg)
SSS Theorem • If all three sides of one triangle, are congruent to the corresponding sides in a second triangle, then the triangles are congruent.
![SSS Theorem Y B X A C ABC XYZ Z SSS Theorem Y B X A C ABC XYZ Z](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-3.jpg)
SSS Theorem Y B X A C ABC XYZ Z
![Write a two column proof Given AB AC and Prove BXA CXA B BX Write a two column proof: Given: AB AC and Prove: BXA CXA B BX](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-4.jpg)
Write a two column proof: Given: AB AC and Prove: BXA CXA B BX X CX C A 2. 1. Given 2. Reflexive Property 3. SSS Thm
![B Determine which postulate can be used to prove that the triangles are congruent B. Determine which postulate can be used to prove that the triangles are congruent.](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-5.jpg)
B. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible. Each pair of corresponding sides are congruent. Two are given and the third is congruent by Reflexive Property. So the triangles are congruent by SSS. Answer: SSS
![Proof Statements 1 2 3 ΔABG ΔCBG Reasons 1 Given reflexive 2 3 Proof: Statements 1. 2. 3. ΔABG ΔCBG Reasons 1. Given reflexive 2. _____ 3.](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-6.jpg)
Proof: Statements 1. 2. 3. ΔABG ΔCBG Reasons 1. Given reflexive 2. _____ 3. SSS
![SAS Theorem If two sides and the included angle of one triangle are SAS Theorem • If two sides and the included angle of one triangle, are](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-7.jpg)
SAS Theorem • If two sides and the included angle of one triangle, are congruent to the corresponding sides and angle in a second triangle, then the triangles are congruent.
![SAS Theorem Y B X A C ABC XYZ Z SAS Theorem Y B X A C ABC XYZ Z](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-8.jpg)
SAS Theorem Y B X A C ABC XYZ Z
![Determine which postulate can be used to prove that the triangles are congruent If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-9.jpg)
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible. Two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle. The triangles are congruent by SAS. Answer: SAS
![Determine which postulate can be used to prove that the triangles are congruent If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-10.jpg)
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible. A. SSS B. SAS C. not possible 1. 2. 3. A B C
![Determine which postulate can be used to prove that the triangles are congruent If Determine which postulate can be used to prove that the triangles are congruent. If](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-11.jpg)
Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible. A. SSS B. SAS C. not possible 1. 2. 3. A B C
![Homework Chapter 4 4 Pg 229 1 6 all 9 10 15 18 Homework Chapter 4 -4 • Pg 229 1 -6 all 9, 10 15 -18](https://slidetodoc.com/presentation_image_h2/eafda7e48da6274612c0d3fe2d5a5c7d/image-12.jpg)
Homework Chapter 4 -4 • Pg 229 1 -6 all 9, 10 15 -18 all 31 33 -41 all
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