Geometry

Question Analysis

The question focuses on identifying pairs of adjacent arcs in a circle, testing the understanding of the concept of adjacent arcs.

Key Concept Explanation

Adjacent Arcs: Arcs that share a single common endpoint.

Step - by - Step Solution

1. Analyze each option:

Arc YZX and arc XYZ: These arcs overlap and do not meet the definition of adjacent arcs which should share only one common endpoint without overlap.

Arc WZ and arc WX: WZ and WX are radii (line segments from the center to the circumference), not arcs, so this option is incorrect.

Arc XY and arc XYZ: Arc XYZ encompasses arc XY, so they are not adjacent arcs.

Arc XY and arc YZX: These two arcs share the common endpoint Y and are distinct, thus they are adjacent arcs.

Common Mistakes

Confusing radii with arcs.

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