Some people might be confused while applying the three theorems related to segments in circles. They might not be sure which segments to multiply. What helpful hints would you recommend they use to figure out which segments to multiply for each of the three theorems?
Can someone help me out? I'm lost. I don't know which theorems to use except for the pythagorean theorem.
When applying the three theorems related to segments in circles, it can sometimes be tricky to identify which segments to multiply. Here are some helpful hints to figure out which segments to use for each of the three theorems:
1. The Segment Addition Postulate: This theorem states that if three points A, B, and C are collinear, then AB + BC = AC. To apply this theorem, you need three collinear points. Identify the points on the circle's circumference that form the segment(s) you want to find the length of. Then, use the Segment Addition Postulate to find the sum of the known segments, which will give you the length of the unknown segment.
2. The Inscribed Angle Theorem: This theorem states that an inscribed angle of a circle is half the measure of its intercepted arc. To apply this theorem, you need an inscribed angle and the measure of its intercepted arc. Identify the angle and its corresponding arc. Then, multiply the measure of the intercepted arc by 1/2 to find the measure of the inscribed angle.
3. The Tangent-Secant Theorem: This theorem states that the product of the lengths of a secant segment and its external segment is equal to the square of the length of a tangent segment. To apply this theorem, you need a secant and a tangent that intersect outside the circle. Identify the lengths of the secant segment and the external segment. Then, multiply these lengths together to get the product. If a tangent segment is given, compare its length to the product obtained. If they are equal, the theorem holds true.
Remember, always carefully read the problem and identify the given information. It's also helpful to draw a diagram to visualize the information and relationships. By applying these hints and utilizing the appropriate theorems, you should be able to find the desired segment lengths in circles.
ever hear of google?
https://www.google.com/search?client=firefox-b-1-d&q=three+theorems+related+to+segments+in+circles.