Question

identify the highlighted part of circle o or p shown below.
answer
center
chord
radius
inscribed angle

Explanation:

1. Recall the definitions:

• Center: The middle point of the circle (e.g., O or P).
• Radius: A line segment from the center to the circle (e.g., PY or OH).
• Chord: A line segment with both endpoints on the circle (e.g., HL or YK? Wait, no, HL has endpoints H and L on circle O. Wait, the highlighted part—wait, looking at the diagram, the angle at M? No, the options: inscribed angle. An inscribed angle is an angle whose vertex is on the circle and sides contain chords. Wait, the highlighted angle (the one with the arc at M? Wait, no, the options: inscribed angle. Let's check each option:
• Center: O is a center, but the highlighted part—wait, maybe the angle at H? Wait, no, the options: inscribed angle. An inscribed angle is formed by two chords in a circle with a common endpoint (vertex) on the circle. So if the highlighted angle has its vertex on the circle (like H or L or Y), and sides as chords. Wait, the diagram: angle at H? Wait, the options include "inscribed angle". Let's confirm definitions:
• Inscribed angle: An angle whose vertex lies on the circle and whose sides are chords of the circle.
• Chord: Segment with both endpoints on circle (e.g., HL: H and L are on circle O, so HL is a chord, but the question is about the highlighted part. Wait, maybe the angle at H? Wait, the options: the highlighted part—maybe the angle with vertex at H? Wait, no, the options: inscribed angle. Let's check the options again. The options are center, radius, chord, inscribed angle. Wait, the diagram: circle O, points H, L, C on it. Circle P, points Y, M, K on it. The line HL: chord (both endpoints on O). The angle at H: inscribed angle (vertex on O, sides HH? No, HL and HH? Wait, no, H to L and H to... Wait, maybe the angle at M? No, M is not on a circle. Wait, maybe the angle at Y? No, Y is on circle P, and PY is radius. Wait, maybe the highlighted part is the inscribed angle. Let's recall: inscribed angle is formed by two chords in a circle, vertex on the circle. So if the highlighted angle has vertex on the circle (like H) and sides as chords (HL and HH? No, H to L and H to... Wait, maybe the angle at H between HL and HH? No, H is on circle O, and HL and HH? Wait, H to L is a chord, H to... maybe H to C? No, C is on the circle? Wait, C is on the line OK, which passes through circle O at C. So H to C: is C on circle O? Yes, because the line passes through O and C is on circle O (since it's a point where the two circles are connected? Wait, maybe the diagram shows that H, L, C are on circle O, and Y, M, K on circle P. The angle at H: between HL and HH? No, maybe the angle at H is an inscribed angle. Alternatively, maybe the highlighted part is the inscribed angle. Let's check the options:
• Center: O is a center, but the highlighted part—probably not.
• Radius: PY is a radius (from P to Y), but if the highlighted part is an angle, then radius is a segment, not angle.
• Chord: HL is a chord (segment), but if the highlighted part is an angle, chord is a segment.
• Inscribed angle: An angle with vertex on the circle, sides as chords. So if the highlighted angle has vertex on the circle (e.g., H) and sides as chords (HL and another chord), then it's an inscribed angle. So the correct answer is inscribed angle.

Answer:

inscribed angle