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Math Help - Proof Help

  1. #1
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    Proof Help


    Please solve this in a proof format ex: Statments | Reasons
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  2. #2
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    Re: Proof Help

     \Delta ABX \sim \Delta DCX \Rightarrow

     \Rightarrow |BX| : |BA| = |DX| : |DC| \Rightarrow

     \Rightarrow |BX| \cdot |DC| = |BA| \cdot |DX|
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  3. #3
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    Re: Proof Help

    Quote Originally Posted by princeps View Post
     \Delta ABX \sim \Delta DCX \Rightarrow

     \Rightarrow |BX| : |BA| = |DX| : |DC| \Rightarrow

     \Rightarrow |BX| \cdot |DC| = |BA| \cdot |DX|
    thanks but thats only half the proof, i need the reasons
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  4. #4
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    Re: Proof Help

    Quote Originally Posted by Proclivitas View Post
    thanks but thats only half the proof, i need the reasons
    Triangles ABX and DCX are similar because they have same angles...
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  5. #5
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    Re: Proof Help

    Hello, Proclivitas!


    \begin{array}{cccccc}1. & \angle B = \angle D && 1. & \text{Given} \\ 2. & \angle BXA = \angle DXC && 2. & \text{Vertical angles} \\ 3. & \Delta BXA \sim \Delta DXC && 3. & a.a.a. \\ 4. & \frac{BX}{BA} = \frac{DX}{DC} && 4. & \text{Proportions} \\ 5. & BX\cdot DC = BA\cdot DX && 5. & \text{Muliply by }BA\cdot DC \end{array}

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