Mathematics Worksheets - MathHelp.com - 1000+ Online Math Lessons - Free Educational videos for Students in K-12 | Lumos Learning

Mathematics Worksheets - MathHelp.com - 1000+ Online Math Lessons - Free Educational videos for Students in k-12


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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