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.
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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.
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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.
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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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