Question

A. Lucinda describes the angle below as ZBAC. Ahmad describes the angle as ZCBD. State whether each of these names is appropriate for the angle, and explain why or why not.

b. Give another name for the angle, and explain why the name you chose is appropriate.

Answer 1

Angle ZBAC is incorrectly named as it does not place the vertex in the second position. Angle ZCBD is correctly named with the vertex 'C' in the middle. Another correct name for the angle is BCZ.

Step-by-step explanation:

When naming an angle, the vertex (middle point) must always be the second letter and the arms of the angle should be the first and third letters. For example, angle ZBAC is not an appropriate name for the angle since it does not adhere to this convention; the vertex 'B' is not the second letter. However, angle ZCBD is appropriate, assuming 'C' is the vertex with 'ZB' and 'BD' being the arms of the angle.

Another appropriate name for the angle could be angle BCZ, as it correctly positions 'C', the vertex, as the second letter.

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