Hypotenuse Leg | Angle Angle Side | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example we're asked to state whether or not | |
| 00:03 | the following pairs of triangles must be congruent and if | |
| 00:08 | so state the triangle congruence and named the postulate that | |
| 00:13 | is used in part a We have two pairs of | |
| 00:18 | angles that are marked as congruent and also noticed that | |
| 00:23 | these triangles share aside so we can mark the side | |
| 00:28 | as congruent to itself . Notice that the side is | |
| 00:33 | not included between the two angles in each triangle . | |
| 00:38 | So we say that these triangles are congruent by angle | |
| 00:43 | angle side writing are congruent statement . We have triangle | |
| 00:49 | W . X . Z . Congruent to triangle Y | |
| 00:54 | . X . Z . Yeah . Mhm . By | |
| 01:05 | angle angle side . Yeah . Yeah . In part | |
| 01:17 | B notice that we have a pair of right triangles | |
| 01:22 | and the hype A tennis and leg of one triangle | |
| 01:25 | are congruent to the hypotenuse and leg of the second | |
| 01:29 | triangle . So these triangles are congruent by hype . | |
| 01:34 | A tennis leg writing are congruent statement . We say | |
| 01:39 | that triangle P . Q . R . Is congruent | |
| 01:43 | to triangle . U . T . S . Bye | |
| 01:55 | Hi pot news leg in part C notice that we | |
| 02:05 | have a pair of sides that are marked as congruent | |
| 02:08 | and a pair of angles that are marked as congruent | |
| 02:12 | . So we need a third pair of congruent parts | |
| 02:16 | . Notice that since side A . B . Is | |
| 02:20 | congruent to side E . The large triangle A . | |
| 02:25 | B . E . Is an isosceles triangle . Remember | |
| 02:30 | that the isosceles triangle theorem states that if two sides | |
| 02:35 | of a triangle are congruent , then the angles opposite | |
| 02:39 | those sides are congruent . So we know that angle | |
| 02:44 | be is congruent two angle E note that we now | |
| 02:52 | have two angles and the included side of one triangle | |
| 02:58 | . Congruent to two angles and the included side of | |
| 03:02 | a second triangle . So these triangles are congruent by | |
| 03:08 | angle side angle writing are congruent statement . We have | |
| 03:14 | triangle Abc congruent to triangle A . E . D | |
| 03:21 | . Okay by angle side angle . Yeah . |
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