![]() ![]() That have the same length, so these blue sides in each of these triangles have the same length, and they have two pairs ofĪngles where, for each pair, the corresponding angles To do in this video is show that if we have two different triangles that have one pair of sides from there, we just connect the points to form congruent line segments, and this turns into the sss theorem, which we already proved. since we know that all angles in a triangle add up to 180 degrees, 50 + 70 = 120 and 180 - 120 = 60, leaving us with 50, 70, and 60 degree angles in both triangles. ex: both △mno and △pqr have angles 50, 70, and x degrees. congruent!Īas: if two angles are the same on both triangles, then the third angle will be the same and they will be congruent. ![]() if you draw a line from h to i and j to l, you will see that they match up. that was a lot of words so ex: △ghi has sides 3, 2, x, and an angle of 45 degrees joining the 3 and 2 side, and △jkl sides 3, 2, y, and an angle of 45 degrees joining the 3 and the 2 side, then the angles will line up on both triangles. ![]() Sas: if you have two sides that have the same length in both triangles and an angle joining them that is also the same length on the other triangle, the third side will have to be the same length on both triangles, and therefore the triangles are congruent. ex: in both △abc and △def, the side lengths are 3, 4, 6: they r congruent. Sss: if all the sides have equal length, then the triangles are congruent. 11) ASA S U T D ∠ SUT ≅ ∠ DUT 12) SAS W X V K VW ≅ XK 13) SAS B A C K J L CA ≅ LJ 14) ASA D E F J K L DE ≅ JK 15) SAS H J I R T S IJ ≅ ST 16) ASA M L K S T U ∠ L ≅ ∠ T 17) SSS R Q S D RS ≅ DQ 18) SAS W U V M K VW ≅ VM -2- Create your own worksheets like this one with Infinite Geometry.I just wanted to post something for anyone who wanted a quick conclusion/recap on the aas, sas, and sss theorems. p Worksheet by Kuta Software LLC State what additional information is required in order to know that the triangles are congruent for the reason given. 0 a LMtawdYes 8 w 2 iltMhX 3 IInofKi 7 nmijtseT CGreHo 3 mqeStPrty 8. © 3 Y 2 v 0 V 1 n 1 Y AKFuBtsal MSio 4 fWtYwzaXrWed 0 LBLjCS W uA 0 lglq UrFiNgLhMtxsQ Dr 1 egsheErmvFeidR. 11) ASA S U T D ∠ SUT ≅ ∠ DUT 12) SAS W X V K VW ≅ XK 13) SAS B A C K J L CA ≅ LJ 14) ASA D E F J K L DE ≅ JK 15) SAS H J I R T S IJ ≅ ST 16) ASA M L K S T U ∠ L ≅ ∠ T 17) SSS R Q S D RS ≅ DQ 18) SAS W U V M K VW ≅ VM -2- Create your own worksheets like this one with Infinite Geometry. ![]() 11) ASA S U T D 12) SAS W X V K 13) SAS B A C K J L 14) ASA D E F J K L 15) SAS H J I R T S 16) ASA M L K S T U 17) SSS R Q S D 18) SAS W U V M K -2. 1 Worksheet by Kuta Software LLC State what additional information is required in order to know that the triangles are congruent for the reason given. ©c v 2 H 0 j 1 u 1 L vKauitcaL QSFocfJtPwAaorheA HLYLQCt X nASlElx 8 rgiGghhot 8 sN 9 reeysoe 6 rYvgezdo I jMBajdceQ kwWivtnhK VISnxf 8 ign 9 i 2 tze 0 qG 4 erovmEeCtJrfyk. ©g j 2 z 001 S 1 S MK 6 uwtPaq iSOo 1 f 5 t 4 woanrgeL CLtLACT M CAQlql 0 Sr 1 isg 3 h 8 tUsC VrIe 7 skevrVvPeadx w VMDaDdyeR ewGiXtrhu WIknAfBiPndiVt 0 eM YGgeHoZm 0 eUt 4 royA Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_ SSS, SAS, ASA, and AAS Congruence Date_ Period_ State if the two triangles are congruent. ![]()
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