Use the image to answer the question.Two arcs are bisected by line segment A B. The arcs intersect at points C above the midpoint of A B and D below the midpoint of A B. A line is drawn from point C to D through the midpoint, M, of A B forming a right angle.Based on the construction shown in the diagram, complete the statements with the correct symbol.(1 point)AM¯¯¯¯¯¯¯¯¯ BM¯¯¯¯¯¯¯¯¯AB¯¯¯¯¯¯¯¯ CD¯¯¯¯¯¯¯¯Remaining Attempts : 3Skip to navigation

Answer 1

To complete the statements based on the provided construction, we can analyze the relationships between the segments.

1. Since M is the midpoint of segment AB, it follows that: \[ AM \cong MB \] This means: \[ AM = MB \]

2. If segment CD is drawn perpendicularly through the midpoint M of segment AB, then by construction, it does not necessarily imply any relationship of equal lengths directly between segments AB and CD without additional context.

Based on these observations, we can fill in the statements as follows:

• AM = MB
• AB (is the sum of AM and MB if we don't denote it explicitly as equal to either).
• There is no direct equality or congruence established between segments AB and CD based on the given information.

Thus, your completed statements would look like this:

• AM ≅ MB
• AB ≠ CD

Please adjust based on any further context if available in the image you referenced.