If it is not possible to prove that they are congruent, write not possible. Overlapping sides are congruent in each triangle by the REFLEXIVE property Alt Int Angles are congruent given parallel lines Vertical Angles are congruentģ5 Ex 2 What other pair of angles needs to be marked so that the two triangles are congruent by AAS? F D E M L Nģ6 Ex 3 What other pair of angles needs to be marked so that the two triangles are congruent by ASA? F D E M L Nģ7 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. Things you can mark on a triangle when they aren’t marked. SSS SAS ASA AAS Your Only Ways To Prove Triangles Are Congruentģ3 Alt Int Angles are congruent given parallel lines Two Angles and One Side that is NOT includedģ2 Your Only Ways To Prove Triangles Are Congruent For ASA: For SAS: For AAS:Ģ5 Write a congruence statement for each pair of triangles represented.Ģ9 Before we start…let’s get a few things straightģ0 Angle-Side-Angle (ASA) Congruence Postulateģ1 Angle-Angle-Side (AAS) Congruence Postulate For ASA: B D For SAS: AC FE A F For AAS:Ģ4 HW Indicate the additional information needed to enable us to apply the specified congruence postulate. Indicate the additional information needed to enable us to apply the specified congruence postulate. (when possible) Vertical Angles Reflexive Property SAS SAS Vertical Angles Reflexive Property SSA SASĢ3 Let’s Practice B D AC FE A F SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondenceġ8 Name That Postulate (when possible) SAS ASA SSA SSSġ9 Name That Postulate (when possible) AAA ASA SSA SASĢ0 Name That Postulate SAS SAS SSA SAS Vertical Angles Reflexive Property Warning: No AAA Postulate There is no such thing as an AAA postulate! E B A C F D NOT CONGRUENT Warning: No SSA Postulate There is no such thing as an SSA postulate! E B F A C D NOT CONGRUENTġ6 There is no such thing as an AAA postulate! B A C AB DE BC EF AC DF A D B E C F ABC DEF E D FĦ Do you need all six ? NO ! SSS SAS ASA AASħ Side-Side-Side (SSS) AB DE BC EF AC DF ABC DEF B A C E D Fī E F A C D AB DE A D AC DF ABC DEF included angleĩ Included Angle The angle between two sides H G Iġ0 Included Angle Name the included angle: YE and ES ES and YS YS and YEī E F A C D A D AB DE B E ABC DEF included sideġ2 Included Side The side between two angles GI GH HIġ3 Included Side Name the included side: Y and E E and S S and Y YEī E F A C D A D B E BC EF ABC DEF Non-included sideġ5 There is no such thing as an SSA postulate! about two triangles to prove that they are congruent?ĥ Corresponding Parts You learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. A C B D E FĤ How much do you need to know. Our product offerings include millions of PowerPoint templates, diagrams, animated 3D characters and more.Two geometric figures with exactly the same size and shape. is brought to you by CrystalGraphics, the award-winning developer and market-leading publisher of rich-media enhancement products for presentations. Then you can share it with your target audience as well as ’s millions of monthly visitors. We’ll convert it to an HTML5 slideshow that includes all the media types you’ve already added: audio, video, music, pictures, animations and transition effects. You might even have a presentation you’d like to share with others. And, best of all, it is completely free and easy to use. Whatever your area of interest, here you’ll be able to find and view presentations you’ll love and possibly download. It has millions of presentations already uploaded and available with 1,000s more being uploaded by its users every day. is a leading presentation sharing website. Use the information in the diagram to prove that Triangular wall over the door to the barn shown You are making a canvas sign to hang on the Use the Hypotenuse-Leg Congruence Theorem R, S, T,Īnd U are the midpoints of the sides of ABCD. In the diagram, ABCD is a square with fourĬongruent sides and four right angles. In the diagram, QS and RP pass through the center ![]() Therefore the given statement is false and Three sides of second triangle then the two Three sides of one triangle are congruent to ![]() So, all pairsĭecide whether the congruence statement is true. Ways to prove Triangles Congruent (SSS), (SAS),Īlternate Interior Angles Theorem. Title: Ways to prove Triangles Congruent (SSS), (SAS), (ASA)
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