This tutorial provides comprehensive coverage of Angles, Lines, and Polygons based on Common Core (CCSS) and State Standards and its prerequisites. Students can navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. This simple tutorial uses appropriate examples to help you understand Angles, Lines, and Polygons in a general and quick way.
This tutorial has been prepared for beginners to help them understand the basics of Angles, Lines, and Polygons. After completing this tutorial, you will find yourself at a moderate level of expertise in Angles, Lines, and Polygons, from where you can advance further.
Before proceeding with this tutorial, you need a basic knowledge of elementary math concepts such as number sense, basic arithmetic operations, whole numbers, fractions, decimals, algebraic equations, number line, coordinate plane, graphs, and so on.
An angle is formed when two lines intersect in a point. The rays emerging from the common point called vertex are the arms of the angle.
The magnitude of how big or small an angle is given by its measure in degrees or some other units
- We place the midpoint of the protractor on the vertex of the angle.
- Then we line up one side of the angle with the zero line of the protractor.
- We then read the degrees where the other side crosses the number scale.
Example 1:
Measure the following angle using a protractor.
Measuring an angle with the protractor 1.2
Solution
Line up one ray with 0°. Read the angle measurement where the other ray crosses the protractor.
Reading from the protractor, the given angle measures 17°.
- Acute, obtuse, and right angles
An acute angle is defined as an angle that is more than 0° but less than 90° in measure.
A right angle is defined as an angle that is 90° in measure.
An obtuse angle is defined as an angle that is between 90° and 180° in measure.
No comments