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bia_gonzalex

  • one year ago

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate geometric figures

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  1. mathstudent55
    • one year ago
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    |dw:1433094527741:dw|

  2. mathstudent55
    • one year ago
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    Is this what you need to do?

  3. bia_gonzalex
    • one year ago
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    it has to be in a written form.@mathstudent55

  4. mathstudent55
    • one year ago
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    Do you need a two-column proof, or just a general outline of the steps to prove this?

  5. mathstudent55
    • one year ago
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    First, draw segment BE, which bisects angle B and intersects segment AC at point E, |dw:1433095145170:dw|

  6. mathstudent55
    • one year ago
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    By the definition of angle bisector, angles ABD and CBD are congruent. Also, segment BD is congruent to itself. |dw:1433095209819:dw|

  7. mathstudent55
    • one year ago
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    Now you can prove that triangles ABD and CBD are congruent by AAS. Then by CPCTC, segments AB and CB are congruent.

  8. UsukiDoll
    • one year ago
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    CPCTC?!

  9. bia_gonzalex
    • one year ago
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    theres no way i can draw in this

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  10. UsukiDoll
    • one year ago
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    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.

  11. UsukiDoll
    • one year ago
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    or you can just write it in short sentences... that's one work around

  12. MeowLover17
    • one year ago
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    @UsukiDoll Can you help me with a problem???

  13. mathstudent55
    • one year ago
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    CPCTC means "corresponding parts of congruent triangles are congruent. CPCTC can be used after two triangles are proved congruent.

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