| Inscribed angles 1 | |
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| Description | |
| Exercise Name: | Inscribed angles 1 |
| Math Missions: | High school geometry Math Mission |
| Types of Problems: | 2 |
The Inscribed angles 1 exercise appears under the High school geometry Math Mission. This exercise develops understanding of the inscribed angle and its relationship to the corresponding central angle.
Types of Problems[]
There are two types of problems in this exercise:
- Given the central angle, find the inscribed angle: This problem provides a circle with an inscribed angle and a corresponding central angle. The student is told the measure of the central angle and is expected to find the measure of the inscribed angle.
Given the central angle, find the inscribed angle
- Given the inscribed angle, find the central angle: This problem provides a circle with a central angle and a corresponding inscribed angle. The student is told the measure of the inscribed angle and is expected to find the measure of the central angle.
Given the inscribed angle, find the central angle
Strategies[]
Knowledge of the relationship between inscribed angles, central angles, and the intercepted are encouraged to ensure success on this exercise.
- The inscribed angle is half the measure of the intercepted arc. The central angle is the same measure as the intercepted arc. Therefore, the inscribed angle is half the corresponding central angle.
- Because of the convenient color-coding, when the initial angle is given in blue, double it. If it is orange, half it. This can assist in attaining efficiency badges quickly.
Real-life Applications[]
- Angle problems of this type are common on standardized tests such as the SAT, ACT, ASVAB and GRE.
- Architects use lots of geometry when building bridges, roofs on houses, and other structures.
- The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.