Answer:
The following are the answers to each item.
1. A
2. C.
3. B
4. C.
5. B.
6. D.
7. Naming a circle is very simple. We use the label on the center of the circle. So for example, the letter we use as the center of the circle is A. Then, we will call it Circle A.
8 - 9. Refer to the definition of each choice in item number 2 and choose the most appropriate answers.
10. A
11. D
Step-by-step explanation:
We will discuss each item and choose the appropriate answers for each item.
Discussions for Each Item
- This item refers to the definition of a circle. A circle is indeed a set or locus of all points on the plane which are equidistant from a fixed point which is called the center. A diameter is a line segment whose endpoints are on the circle and it passes through the center point of a circle. A tangent or tangent line is a line that intersects or crosses the circle at one point. A triangle is a closed figure which has three sides on it. From each definition, it clearly shows that the answer for number 1 is the letter A.
- First, we need to know the difference between a segment and a line. A line doesn't have an endpoint, thus it continues on and on. It has two arrowheads. While a line segment or a segment is a line with two endpoints. The question describes a segment (means with endpoints) that intersects the circle at two points. Let's take a look at each definition of the choices. A chord is a line segment that has two endpoints located on the curve of the circle. A diameter is a line segment that has two endpoints located on the curve and it passes or crosses through the center of the circle. Note that a diameter can be a chord but a chord cannot be a diameter. Both the diameter and the chord do not intersect or cross the circle. A secant or secant line is a line (a segment or a line segment) that crosses or intersects a circle at two distinct points. Lastly, a tangent or tangent line is a line (again, a segment or a line segment) that crosses or intersects a circle at only one point. So, base on the definitions, it only the secant that defines a line that intersects the circle at two points. Then, the answer is the letter C.
- The answer for this item is the letter B. This is because base on the definitions of diameter and tangent above, these two are not possible answers. The angle, on the other hand, consists of straight rays with one common endpoint. Thus, the only choice we have is the circumference.
- Check the definition of a diameter in number 2. So the answer for this item is the letter C.
- Remember that a tangent line is a line that intersects or crosses the circle at a single point, and the intersection point is what we called the point of tangency. Thus, the answer is the letter B.
- The answer to this problem is supported by item number 5 and number 2. Thus, the answer is the letter D.
Items 7 - 9. The figure is not added to this question. So, I am going to discuss the possible ways of answering each item
7. Naming a circle is very simple. We use the label on the center of the circle. So for example, the letter we use as the center of the circle is A. Then, we will call it Circle A.
8 - 9. Refer to the definition of each choice in item number 2 and choose the most appropriate answers.
10. When an angle whose vertex is located at the center of the circle, then we call the angle the central angle. Thus, the answer for this item is the letter A.
11. When an angle whose vertex is located on the curve of the circle and its two rays play as a chord, then we will call the angle the inscribed angle. Thus, the answer is the letter D
To learn more about circles, go to
- Overlapping Circles: https://brainly.ph/question/2258989
- Radius of a Circle: https://brainly.ph/question/1568664
- Parts of the Circle: https://brainly.ph/question/1861197
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