To determine if point P is interior, exterior, or on the angle, we look at its position relative to the two rays that form the angle.
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Interior: The point is inside the "mouth" of the angle, between the two rays.
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Exterior: The point is outside the angle, not between the rays.
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On the angle: The point lies exactly on one of the rays (the lines) that make up the angle.
Let's go through each problem:
1) Point P is lying directly on the slanted ray. So, it is
on the angle.
2) Point P is outside the space between the two rays. So, it is
exterior.
3) Point P is lying directly on the slanted ray. So, it is
on the angle.
4) Point P is outside the space between the two rays. So, it is
exterior.
5) Point P is lying directly on the slanted ray. So, it is
on the angle.
6) Point P is inside the space between the vertical and horizontal rays. So, it is
interior.
7) Point P is outside the space between the two rays. So, it is
exterior.
8) Point P is lying directly on the slanted ray. So, it is
on the angle.
9) Point P is lying directly on the slanted ray. So, it is
on the angle.
Final Answer:
1) on the angle
2) exterior
3) on the angle
4) exterior
5) on the angle
6) interior
7) exterior
8) on the angle
9) on the angle
Parent Tip: Review the logic above to help your child master the concept of construction of angles in geometry worksheet for practice.
