Based on the construction shown in the diagram, complete the statements with the correct symbol.

Question

(1 point)
AM
BM
AB
CD

Answer 1

To accurately complete the statements with the correct symbols for segments AM, BM, AB, and CD, it's necessary to have an understanding of the relationships between the segments based on their lengths or positions, which would typically be indicated in a diagram.

Since I can't see the diagram you are referring to, please provide information or the relationships you would like to know about these segments. For example, if M is a midpoint of AB, then you could state that AM = BM, and if we know the lengths or relationships of any of the segments, we can use the appropriate symbols (like =, <, >) accordingly.

Answer 2

• The construction of a perpendicular bisector divides the initial segment into two equal and congruent pieces.
• The construction of a perpendicular bisector creates 90°
angles.

Answer 3

Based on the information provided about the construction of a perpendicular bisector, here's how you can complete the statements with the correct symbols:

1. Since a perpendicular bisector divides the segment into two equal and congruent pieces, we have: \[ AM = BM \] This indicates that segment AM is equal in length to segment BM.

2. The segments created (in this case AB which is the whole segment being bisected), the relationship would be represented as: \[ AB = AM + BM \] Since AM and BM are equal, we can express it as: \[ AB = 2AM \quad (\text{or equivalently, } AB = 2BM) \]

3. Since the construction of a perpendicular bisector creates 90° angles, we state that: \[ \angle AMC = 90^\circ \quad \text{and} \quad \angle BMC = 90^\circ \]

4. If CD is a segment that is also defined in some relationship with AB, please clarify its relationship so that I can provide the correct symbol or statement for it.

In summary:

• AM = BM (because the perpendicular bisector divides the segment into two equal pieces)
• AB = AM + BM (which could also be characterized, depending on their lengths)
• The angles formed are right angles (90°)

If you provide more details regarding CD, I can include it as well!