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Prove that DAC = ABC using the given ratio (AB)/(AD) = (AC)/(CD) and the hint 'Corresp L in proportion'.

Mathematics

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Answer

To prove that ∠DAC=∠ABC\angle DAC = \angle ABC, we need to establish similarity between two triangles. Based on the given information, we will consider △ABC\triangle ABC and △DAC\triangle DAC.

Step-by-step solution

2 steps

  1. Identify the given information.

    The image shows the statement to prove: ∠DAC=∠ABC\angle DAC = \angle ABC.
    It also shows a handwritten ratio: ABAD=ACCD\frac{AB}{AD} = \frac{AC}{CD}.
    And a note: "Corresp L in proportion", which likely refers to "Corresponding sides in proportion".

  2. Determine the similarity correspondence.

    We want to prove ∠DAC=∠ABC\angle DAC = \angle ABC. If these angles are corresponding angles in similar triangles, then the similarity could be △ABC∼△DAC\triangle ABC \sim \triangle DAC.
    Let's check the

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