Question

!50 POINTS! (1 SIMPLE GEOMETRY QUESTION)

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Answer 1

1. BG is a d. Tangent.
2. DF is a h. secant.
3. CD is a b. chord.
4. ∡CDB is an f. inscribed angle.
5. ∡BAE is a j. central angle.
6. AB is a e. radius.
7. BD is a c. diameter.

Explanation:

Let's define each part of the circle first.

• Center: The center of a circle is the point that is equidistant from all points on the circle.
• Radius: The radius of a circle is a line segment that connects the center of the circle to any point on the circle.
• Diameter: A diameter of a circle is a line segment that passes through the center of the circle and has endpoints on the circle. The diameter is twice the length of the radius.
• Circumference: The circumference of a circle is the distance around the circle. The circumference is equal to 2πr, where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
• Arc: An arc is a section of the circumference of a circle.
• Inscribed angle: An inscribed angle is an angle whose vertex is on the circle and whose sides intersect the circle.
• Central angle: A central angle is an angle whose vertex is at the center of the circle and whose sides pass through two points on the circle.
• Secant: A secant is a line that intersects the circle at two points.
• Tangent: A tangent is a line that touches the circle at exactly one point

By studying the definition, we can say that:

BG is a d. Tangent.

DF is a h. secant.

CD is a b. chord.

∡CDB is an f. inscribed angle.

∡BAE is a j. central angle.

AB is a e. radius.

BD is a c. diameter.

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