Proving Triangles are Congruent | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example we're asked to state whether or not | |
| 00:04 | the following pairs of triangles must be congruent and if | |
| 00:08 | so named the postulate that is used in part a | |
| 00:15 | notice that we have two angles and the included side | |
| 00:19 | of one triangle Congruent to two angles and the included | |
| 00:23 | side of a second triangle . Therefore we can say | |
| 00:28 | that the triangles are congruent by angle side angle . | |
| 00:34 | Oh yeah yeah yeah . In part B we only | |
| 00:44 | have two pairs of corresponding sides that are marked as | |
| 00:48 | congruent but notice that these triangles share a third side | |
| 00:54 | so we can mark this side as congruent to itself | |
| 00:59 | . Since we now have three sides of one triangle | |
| 01:03 | congruent to three sides of a second triangle . We | |
| 01:07 | can say that these triangles are congruent by side , | |
| 01:11 | side side . Yes . Mhm . In part C | |
| 01:22 | we only have two pairs of corresponding sides that are | |
| 01:26 | marked as congruent but notice that we have a pair | |
| 01:30 | of vertical angles in the diagram . And we know | |
| 01:33 | that vertical angles are congruent since we now have two | |
| 01:41 | sides and the included angle of one triangle congruent to | |
| 01:46 | two sides and the included angle of a second triangle | |
| 01:51 | . We can say that these triangles are congruent by | |
| 01:54 | side angle side . What ? Yeah . Yeah . | |
| 02:07 | In part D we have one pair of corresponding sides | |
| 02:11 | marked is congruent and a pair of corresponding angles marked | |
| 02:16 | as congruent . So we need a third pair of | |
| 02:19 | corresponding parts . Notice that these triangles share aside so | |
| 02:26 | we can mark this side as congruent to itself . | |
| 02:30 | So we now have two pairs of corresponding sides and | |
| 02:35 | a pair of corresponding angles but notice that the angle | |
| 02:40 | and each triangle is not included between the two sides | |
| 02:46 | . So we cannot use side angle side . Instead | |
| 02:51 | we have side side angle which is not one of | |
| 02:55 | our postulates for proving that triangles are congruent . So | |
| 03:00 | we say that no congruence can be determined . Yeah | |
| 00:0-1 | . |
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