Mathematics Worksheets - MathHelp.com - 1000+ Online Math Lessons - By MathHelp.com
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00:0-1 | The following is a selected video from your teacher.com where | |
00:03 | you can browse over 450 complete math lessons with example | |
00:07 | videos , interactive practice problems , self tests and more | |
00:11 | . Try a complete lesson today at your teacher dot | |
00:14 | com . In this example we're asked to state whether | |
00:21 | or not the following pairs of triangles must be congruent | |
00:26 | and if so named the postulate that is used in | |
00:32 | part a notice that we have two angles and the | |
00:36 | included side of one triangle Congruent to two angles and | |
00:41 | the included side of a second triangle . Therefore we | |
00:46 | can say that the triangles are congruent by angle side | |
00:50 | angle . Yeah , yeah . In part B we | |
01:02 | only have two pairs of corresponding sides that are marked | |
01:06 | as congruent but notice that these triangles share a third | |
01:11 | side so we can mark this side as congruent to | |
01:15 | itself . Since we now have three sides of one | |
01:20 | triangle congruent to three sides of a second triangle . | |
01:25 | We can say that these triangles are congruent by side | |
01:29 | , side side . In part C . We only | |
01:41 | have two pairs of corresponding sides that are marked as | |
01:45 | congruent , but notice that we have a pair of | |
01:48 | vertical angles in the diagram and we know that vertical | |
01:53 | angles are congruent since we now have two sides and | |
02:00 | the included angle of one triangle congruent to two sides | |
02:06 | and the included angle of a second triangle . We | |
02:10 | can say that these triangles are congruent by side , | |
02:13 | angle side . In part D . We have one | |
02:27 | pair of corresponding sides marked is congruent and a pair | |
02:32 | of corresponding angles marked as congruent . So we need | |
02:37 | a third pair of corresponding parts , notice that these | |
02:42 | triangles share aside so we can mark this side as | |
02:46 | congruent to itself . So we now have two pairs | |
02:51 | of corresponding sides and a pair of corresponding angles , | |
02:57 | but notice that the angle and each triangle is not | |
03:01 | included between the two sides , so we cannot use | |
03:06 | side angle side . Instead , we have side side | |
03:11 | angle , which is not one of our postulates for | |
03:15 | proving that triangles are congruent , so we say that | |
03:20 | no congruence can be determined yeah . |
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