A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF

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Answer:

A.D.E

I GOT IT RIGHT IN EDG

A line is a one-dimensional shape that is straight. The correct options are A, D, and E.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that a vertical line has points C, E, and F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees. Also, Ray EB bisects ∠CEA.

Therefore, the diagram for the given condition can be made as shown below.

Now, the options that are correct are:

  • m∠CEA = 90°
  • ∠CEF is a straight angle.
  • ∠AEF is a right angle.

Hence, the correct options are A, D, and E.

The complete question is:

A vertical line has points C, E, and F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.

Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

  1. m∠CEA = 90°
  2. m∠CEF = m∠CEA + m∠BEF
  3. m∠CEB = 2(m∠CEA)
  4. ∠CEF is a straight angle.
  5. ∠AEF is a right angle.

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