Which statement is true about the diagram?

∠DEF is a right angle.
m∠DEA = m∠FEC
∠BEA ≅ ∠BEC
Ray E B bisects ∠AEF.

1 answer

To determine which statement is true about the diagram, we need to analyze each statement one by one. However, without the actual diagram, I can provide general explanations about the statements:

  1. ∠DEF is a right angle.

    • This statement claims that the angle DEF measures 90 degrees. This can be true if indicated in the diagram.
  2. m∠DEA = m∠FEC

    • This statement suggests that the measures of angles DEA and FEC are equal. This can be true if the angles are marked as congruent in the diagram or if there is some indication of angle equality.
  3. ∠BEA ≅ ∠BEC

    • If this statement is true, it indicates that angles BEA and BEC are congruent. This might happen in certain geometric configurations (like if EB is an angle bisector).
  4. Ray EB bisects ∠AEF.

    • This implies that ray EB splits angle AEF into two equal angles. This can also be true if it is indicated in the diagram that EB is a bisector.

To identify which statement is true, refer to your diagram and look for markings, angle measurements, or any notation indicating specific relationships between the angles mentioned. If you have the diagram described, please share the details so I can help you figure out which statement is true based on the information present.