bia_gonzalex
  • bia_gonzalex
Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate geometric figures
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
|dw:1433094527741:dw|
mathstudent55
  • mathstudent55
Is this what you need to do?
bia_gonzalex
  • bia_gonzalex
it has to be in a written form.@mathstudent55

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mathstudent55
  • mathstudent55
Do you need a two-column proof, or just a general outline of the steps to prove this?
mathstudent55
  • mathstudent55
First, draw segment BE, which bisects angle B and intersects segment AC at point E, |dw:1433095145170:dw|
mathstudent55
  • mathstudent55
By the definition of angle bisector, angles ABD and CBD are congruent. Also, segment BD is congruent to itself. |dw:1433095209819:dw|
mathstudent55
  • mathstudent55
Now you can prove that triangles ABD and CBD are congruent by AAS. Then by CPCTC, segments AB and CB are congruent.
UsukiDoll
  • UsukiDoll
CPCTC?!
bia_gonzalex
  • bia_gonzalex
theres no way i can draw in this
1 Attachment
UsukiDoll
  • UsukiDoll
yes you can... and what mathstudent55 is right. You have to draw a line in the middle... call it D and using the theorems and definitions you can prove that the triangles are congruent.
UsukiDoll
  • UsukiDoll
or you can just write it in short sentences... that's one work around
MeowLover17
  • MeowLover17
@UsukiDoll Can you help me with a problem???
mathstudent55
  • mathstudent55
CPCTC means "corresponding parts of congruent triangles are congruent. CPCTC can be used after two triangles are proved congruent.

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