anonymous
  • anonymous
Triangle ABD is congruent to triangle CBD http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/a/assessments/T-TrianglesUnitExam/Geometry_Unit4_Exam_36f1.gif
Geometry
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
true or false? Help me Plz!!!
mathmate
  • mathmate
If two triangles have two angles and the included side congruent, the triangles are congruent. ASA (angle-side-angle).
anonymous
  • anonymous
so Its true

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mathmate
  • mathmate
Explain why it is true.
mathstudent55
  • mathstudent55
The triangles are congruent but not by ASA.
anonymous
  • anonymous
Because it is a theorem
mathstudent55
  • mathstudent55
Which ways of proving two triangles congruent do you know?
mathmate
  • mathmate
@methstudent55: if two triangles have two angle congruent, the third is also congruent.
anonymous
  • anonymous
SAS
mathmate
  • mathmate
@mathstudent55: if two triangles have two angle congruent, the third is also congruent. It is not SAS because we only have one common side, and we do not know congruence of the other sides.
mathstudent55
  • mathstudent55
@mathmate You're correct. You can do it by ASA by first stating that the third angles are congruent, but there is a quicker way of doing it that does not require that extra step.
anonymous
  • anonymous
WAIT so its true
mathmate
  • mathmate
It still takes an extra step.
mathstudent55
  • mathstudent55
There is a way that just by looking you can immediately conclude the triangles are congruent with out any extra steps.
mathmate
  • mathmate
To prove by SAS, you need to show that one other pair of sides are congruent.
anonymous
  • anonymous
o its false because not much information, right?
mathmate
  • mathmate
@ DorelTibi: sorry that we are discussing the semantics of things, but are you able to show that the triangles are congruent?
mathstudent55
  • mathstudent55
It's not SAS. We don't have info on two sides. We only know about the side in common.
mathstudent55
  • mathstudent55
Here it is: AAS. If two angles of a triangle and a not included side are congruent to corresponding parts of another triangle, the triangles are congruent.
mathmate
  • mathmate
In fact, AAS is the equivalent of ASA, since when two angles are congruent, then congruence of any other corresponding side is sufficient to show congruence. Equivalence means that all AAS cases can be shown to be ASA and vice-versa.
mathmate
  • mathmate
Indeed, AAS is easier.
mathstudent55
  • mathstudent55
In the end, if you do it by ASA, you need to show BD is congr to itself and

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