Article: A proof starts with a statement of given information which is known as the hypothesis statement. You will need to provide a list of relevant information as well as evidence to support each statement. You will need to make a chart, which generally has two columns. This first column will contain your statements, while the second will provide your evidence. Be sure that the final line in your statement column always matches the hypothesis statement. The middle rows will be where you show your work while you're solving the problem. All of the statements you provide, as well as your supporting evidence, should always refer back to the figures that are described by the hypothesis statement. Use all of the details that are supplied by the hypothesis. Be sure to draw the figure big enough so that you can easily make out these details. Label all of the points that are described and be sure to include any information from the statement regarding parallel lines or congruent angles. For any problem, you will be given some information about the measures of the angles and the sides of the two triangles you are trying to prove similar. The first step in identifying the correct theorem to use is writing down the information you already know. If no diagram is provided, draw the triangles and then label their angles and sides with the given information. Once you have written down your given information and learned the three possible theorems that could apply, choose the one that matches the information given. It's okay if multiple theorems apply, just choose one for your proof. If none of these theorems match the given information then the triangles are not similar. Devise a strategy to solve the proof. There are three different postulates, or mathematical theories, which apply to similar triangles. Any one of these will provide sufficient evidence to prove that the triangles in question are similar. Gather your givens and relevant theorems and write the proof in a step-by-step fashion.
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Study the format of a formal proof. Develop a hypothesis to solve the problem, or complete the proof. Draw a diagram of the figures that are described in the hypothesis, if an illustration has not already been provided. Write down the given information. Choose the theorem that fits the given information. Write the proof.