Question

Use the diagram to identify the similar triangles and complete the proportion.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Separate the given triangle into two similar angles

STEP 2: Write the ratio of the sides

Similar triangles are triangles that have the same shape but not necessarily the same size. For two angles to be congruent, they must have the same measure. Since the triangles are similar, they have corresponding angles that are congruent.

The ratio of the sides will be given as:

`(CA)/(BA)=(BC)/(DB)=(BA)/(DA)`

Hence, the answer for the question according to the explanation above will be:

`DA\text{ }`