Triangle Congruence Notes Learning Targets I can recognize
![Triangle Congruence Notes Learning Targets I can recognize congruent figures and their corresponding parts. Triangle Congruence Notes Learning Targets I can recognize congruent figures and their corresponding parts.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-1.jpg)
![Congruence Two geometric figures with exactly the same size and shape. Congruence Two geometric figures with exactly the same size and shape.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-2.jpg)
![Corresponding Parts If all six pairs of corresponding parts (sides and angles) are congruent, Corresponding Parts If all six pairs of corresponding parts (sides and angles) are congruent,](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-3.jpg)
![Do you need all six ? NO ! SSS SAS ASA AAS Do you need all six ? NO ! SSS SAS ASA AAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-4.jpg)
![Side-Side or SSS Side-Side or SSS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-5.jpg)
![Side-Side (SSS) B E F A Example 1 1. AB DE 2. BC EF Side-Side (SSS) B E F A Example 1 1. AB DE 2. BC EF](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-6.jpg)
![Included Angle The angle between two sides G I H Included Angle The angle between two sides G I H](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-7.jpg)
![Side-Angle-Side or SAS Side-Angle-Side or SAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-8.jpg)
![Side-Angle-Side (SAS) B E F A C 1. AB DE 2. A D 3. Side-Angle-Side (SAS) B E F A C 1. AB DE 2. A D 3.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-9.jpg)
![Included Side The side between two angles GI HI GH Included Side The side between two angles GI HI GH](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-10.jpg)
![Included Side Name the included side: E Y S Y and E YE E Included Side Name the included side: E Y S Y and E YE E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-11.jpg)
![Angle-Side-Angle or ASA Angle-Side-Angle or ASA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-12.jpg)
![Angle-Side-Angle (ASA) B E F A C 1. A D 2. AB DE D Angle-Side-Angle (ASA) B E F A C 1. A D 2. AB DE D](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-13.jpg)
![Angle-Side or AAS Angle-Side or AAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-14.jpg)
![Angle-Side (AAS) B E F A C 1. A D 2. B E D Angle-Side (AAS) B E F A C 1. A D 2. B E D](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-15.jpg)
![Warning: No SSA Postulate There is no such thing as an SSA postulate! E Warning: No SSA Postulate There is no such thing as an SSA postulate! E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-16.jpg)
![Warning: No AAA Postulate There is no such thing as an AAA postulate! E Warning: No AAA Postulate There is no such thing as an AAA postulate! E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-17.jpg)
![The Congruence Postulates F SSS F ASA F SAS F AAS F SSA F The Congruence Postulates F SSS F ASA F SAS F AAS F SSA F](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-18.jpg)
![HL (Hypotenuse, Leg) Theorem • Applies only to right triangles • If the hypotenuse HL (Hypotenuse, Leg) Theorem • Applies only to right triangles • If the hypotenuse](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-19.jpg)
![Name That Postulate (when possible) SAS SSA ASA SSS Name That Postulate (when possible) SAS SSA ASA SSS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-20.jpg)
![Name That Postulate (when possible) AAA SAS ASA SSA Name That Postulate (when possible) AAA SAS ASA SSA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-21.jpg)
![](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-22.jpg)
![Name That Postulate (when possible) Reflexive Property SAS Vertical Angles SAS Reflexive Property SSA Name That Postulate (when possible) Reflexive Property SAS Vertical Angles SAS Reflexive Property SSA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-23.jpg)
![Let’s Practice Indicate the additional information needed to enable us to apply the specified Let’s Practice Indicate the additional information needed to enable us to apply the specified](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-24.jpg)
- Slides: 24
![Triangle Congruence Notes Learning Targets I can recognize congruent figures and their corresponding parts Triangle Congruence Notes Learning Targets I can recognize congruent figures and their corresponding parts.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-1.jpg)
Triangle Congruence Notes Learning Targets I can recognize congruent figures and their corresponding parts. I can prove triangles congruent using SSS and SAS. I can prove triangles congruent using ASA and AAS.
![Congruence Two geometric figures with exactly the same size and shape Congruence Two geometric figures with exactly the same size and shape.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-2.jpg)
Congruence Two geometric figures with exactly the same size and shape.
![Corresponding Parts If all six pairs of corresponding parts sides and angles are congruent Corresponding Parts If all six pairs of corresponding parts (sides and angles) are congruent,](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-3.jpg)
Corresponding Parts If all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. Example 1 B 1. AB DE 2. BC EF 3. AC DF 4. A D 5. B E 6. C F A C ABC DEF E F D
![Do you need all six NO SSS SAS ASA AAS Do you need all six ? NO ! SSS SAS ASA AAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-4.jpg)
Do you need all six ? NO ! SSS SAS ASA AAS
![SideSide or SSS Side-Side or SSS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-5.jpg)
Side-Side or SSS
![SideSide SSS B E F A Example 1 1 AB DE 2 BC EF Side-Side (SSS) B E F A Example 1 1. AB DE 2. BC EF](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-6.jpg)
Side-Side (SSS) B E F A Example 1 1. AB DE 2. BC EF 3. AC DF C D ABC DEF
![Included Angle The angle between two sides G I H Included Angle The angle between two sides G I H](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-7.jpg)
Included Angle The angle between two sides G I H
![SideAngleSide or SAS Side-Angle-Side or SAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-8.jpg)
Side-Angle-Side or SAS
![SideAngleSide SAS B E F A C 1 AB DE 2 A D 3 Side-Angle-Side (SAS) B E F A C 1. AB DE 2. A D 3.](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-9.jpg)
Side-Angle-Side (SAS) B E F A C 1. AB DE 2. A D 3. AC DF D ABC DEF included angle
![Included Side The side between two angles GI HI GH Included Side The side between two angles GI HI GH](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-10.jpg)
Included Side The side between two angles GI HI GH
![Included Side Name the included side E Y S Y and E YE E Included Side Name the included side: E Y S Y and E YE E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-11.jpg)
Included Side Name the included side: E Y S Y and E YE E and S ES S and Y SY
![AngleSideAngle or ASA Angle-Side-Angle or ASA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-12.jpg)
Angle-Side-Angle or ASA
![AngleSideAngle ASA B E F A C 1 A D 2 AB DE D Angle-Side-Angle (ASA) B E F A C 1. A D 2. AB DE D](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-13.jpg)
Angle-Side-Angle (ASA) B E F A C 1. A D 2. AB DE D ABC DEF 3. B E included side
![AngleSide or AAS Angle-Side or AAS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-14.jpg)
Angle-Side or AAS
![AngleSide AAS B E F A C 1 A D 2 B E D Angle-Side (AAS) B E F A C 1. A D 2. B E D](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-15.jpg)
Angle-Side (AAS) B E F A C 1. A D 2. B E D ABC DEF 3. BC EF Non-included side
![Warning No SSA Postulate There is no such thing as an SSA postulate E Warning: No SSA Postulate There is no such thing as an SSA postulate! E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-16.jpg)
Warning: No SSA Postulate There is no such thing as an SSA postulate! E B F A C D NOT CONGRUENT
![Warning No AAA Postulate There is no such thing as an AAA postulate E Warning: No AAA Postulate There is no such thing as an AAA postulate! E](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-17.jpg)
Warning: No AAA Postulate There is no such thing as an AAA postulate! E B A C D NOT CONGRUENT F
![The Congruence Postulates F SSS F ASA F SAS F AAS F SSA F The Congruence Postulates F SSS F ASA F SAS F AAS F SSA F](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-18.jpg)
The Congruence Postulates F SSS F ASA F SAS F AAS F SSA F AAA
![HL Hypotenuse Leg Theorem Applies only to right triangles If the hypotenuse HL (Hypotenuse, Leg) Theorem • Applies only to right triangles • If the hypotenuse](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-19.jpg)
HL (Hypotenuse, Leg) Theorem • Applies only to right triangles • If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.
![Name That Postulate when possible SAS SSA ASA SSS Name That Postulate (when possible) SAS SSA ASA SSS](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-20.jpg)
Name That Postulate (when possible) SAS SSA ASA SSS
![Name That Postulate when possible AAA SAS ASA SSA Name That Postulate (when possible) AAA SAS ASA SSA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-21.jpg)
Name That Postulate (when possible) AAA SAS ASA SSA
![](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-22.jpg)
![Name That Postulate when possible Reflexive Property SAS Vertical Angles SAS Reflexive Property SSA Name That Postulate (when possible) Reflexive Property SAS Vertical Angles SAS Reflexive Property SSA](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-23.jpg)
Name That Postulate (when possible) Reflexive Property SAS Vertical Angles SAS Reflexive Property SSA
![Lets Practice Indicate the additional information needed to enable us to apply the specified Let’s Practice Indicate the additional information needed to enable us to apply the specified](https://slidetodoc.com/presentation_image_h/114ff49cfd6dbf3e74a791436e5e0235/image-24.jpg)
Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: B D For SAS: AC FE For AAS: A F
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