Big Ideas Math Integrated II
BI
Big Ideas Math Integrated II View details
Cumulative Assessment

Exercise 1 Page 634

a

We want to classify BG as specifically as possible.

Let's review some important definitions about circles.

  • Radius: A segment whose endpoints are the center and any point on the circumference on a circle.
  • Chord: A segment whose endpoints are on the circumference of a circle.
  • Diameter: A chord that contains the center of the circle.
  • Secant: A line that intersects a circle in two points.
  • Tangent: A line in the plane of a circle that intersects the circle in exactly one point — the point of tangency.

We can see that BG has its endpoints on the circumference of a circle and it does not contain the circle's center. Therefore, it is a chord.

b
Next we are going to classify CD.

The segment has one endpoint in the center and one on the circumference of the circle. From we definitions we reviewed in Part A, we know that the segment is a radius.

c
We have been asked to classify AD.

This segment has its endpoints on the circumference of the circle and it contains the center. That is equivalent to the definition of a diameter.

d
Let's have a look at FE.

Let's classify this segment! It has its endpoints on the circumference of the circle and does not contain the center. Therefore, we know that it is a chord.