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Which of the following describe an angle with a vertex at A?Check all that apply.A.ACBB.ABCC.CABD.BACSUBMITarrow_backPREVIOUS

Question

Which of the following describe an angle with a vertex at A? Check all that apply.

  • A. AC
  • B. AB
  • C. AB
  • D. CAB
  • E. BAC

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Solution

To determine which of the options describe an angle with a vertex at point A, we need to consider how angles are formed in geometry. An angle is defined by two rays that extend from a common endpoint, known as the vertex.

  1. Understanding the Options:

    • Each option consists of a point followed by two additional points. The angle will be formed between the two rays extending from point A to the other two points.
  2. Evaluating Each Option:

    • A. AC: This option does not specify the third point to complete the angle.
    • B. AB: This option can describe an angle with vertex A, as it specifies two rays (AB and another ray that may form an angle).
    • C. AB: Similar to option B, assuming the second part is describing another ray or point connected to A.
    • D. AC: This option again does not complete the triangle necessary to form an angle with A as the vertex.
    • E. BCA: This option is valid as it forms an angle at point A.
  3. Summary of Valid Options:

    • The valid choices that describe an angle with vertex A include those options that utilize A as the common endpoint from which two rays can be established.

Final Answer

The options that describe an angle with a vertex at A are B. AB, C. AB, and E. BCA.

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