If ABCDE ∼ PQRDS (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Then m<P = Response area and PQSD = AB? what correctly replaces the ?

1 answer

Given that ABCDE ∼ PQRDS, we can conclude that the corresponding angles are equal. Therefore, we have:

m<P = m<R (corresponding angles)

Also, based on the given similarity, we can conclude that corresponding sides are proportional. So, we have:

PQ/AB = QR/BC = RS/CD = SD/DE

To find the correct replacement for the question mark (?), we need to determine the relationship between PQ and AB.

Since we are comparing PQ to AB, the correct ratio to use is PQ/AB. Therefore, the correct replacement for the question mark is PQ/AB.
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