Question

Can someone help me with this please ignore the question on the bottom

Answer 1

Answers:

1. Diameter
2. Semicircle
3. Point of Tangency
4. Internal Common Tangent
5. Major Arc
6. Radius
7. Center of a Circle
8. External Common Tangent
9. Secant
10. Chord
11. Minor Arc

===========================================================

Explanations:

1. The diameter is a segment that goes through the center of a circle. Both endpoints are on the circle's edge. The diameter is twice the radius.
2. Arc EGF forms a half circle, better known as a semicircle. The measure of angle EBF is 180 degrees, which is half of a full 360 rotation.
3. Point G is a point of tangency. It's the point of tangency of the two circles, and also the point of tangency for any particular circle and the tangent HJ.
4. Line HJ is the internal common tangent. It is tangent to both circles. We consider it internal since it crosses over the line segment that would connect the centers A and B. Notice that the external tangent KF does not cross the segment that would connect A and B.
5. Arc CDK is a major arc of circle A. By definition, a major arc is anything larger than a semicircle. In other words, if its measure is over 180 degrees, then we have a major arc. A minor arc is anything smaller than 180.
6. Segment BF is a radius of circle B. It is half the diameter EF. If you know the radius, then double it to get the diameter. The radius is from the center of the circle to any point on the circle's edge.
7. Point A is the center of circle A. We label the circle names based on their center.
8. As mentioned earlier, line KF is a external common tangent to the circles. It is tangent to both circles, and it is external in the sense it doesn't cross over line segment AB (you'll have to draw in line segment AB to see that it doesn't cross).
9. Line CD is a secant line. A secant line crosses a circle at exactly two different points. In contrast, a tangent line only touches a circle at exactly one point.
10. Segment GK is a chord. It's basically the segment version of a secant line. A chord is any segment where the endpoints are on the circle's edge. The diameter is a special type of chord.
11. Arc CK is a minor arc. We start at C and travel the shortest distance along the circle to arrive at point K. This is less than a semicircle, so it's why we go with minor arc instead of major. The measure is less than 180 degrees.