- What are the common properties of all polygons?
All polygons must be a closed figure. A closed figure is when all the sides are connected, or there is no gap between the edges. The next property is that there are no curved edges, the edges have to be straight lines. If a figure does have curved edges, like a circle, then it is not considered a polygon. The next rule is that there can be no overlap of lines as demonstrated in the pictures below.
2) What does the measures in degrees tell you about an angle?
The measures of degrees tell me how far the angle is from 0 degrees. It also tells me the degrees of rotation an angle. This can be helpful not just when solving a math problem, but also in real life situations. For example, a skateboarder might say that he did a “720.” This means that he jumped and completed two rotations in the air before landing.
3) What are some common benchmark angles?
Some of the common benchmark angles include, 90 degrees (right angle), 180 degrees (straight line), 30 degrees, 60 degrees, and 45 degrees. These angles can help you when you are estimating angles. If the angle is close to one of the benchmark angles, then you can make an reasonable estimate about the angle’s size.
4) What are some strategies used to estimate angle measures?
When I estimate angles, I use the benchmark angles. When I get a clear idea of where 90 degrees is, and the angle is slightly less that 90 degrees, then I might estimate the angle is 85 degrees as shown in the picture below. When you have a clear idea of the benchmark angles, they are very useful and vital to get precise estimates.
5) What strategies can you use to deduce the angle measures from given information?
The first step to solve for angles is to know whether it is a straight, obtuse, acute, or right angle. You will know if an angle is acute because it is less that 90 degrees (right angle), however it is greater than 0 degrees. A right angle is usually indicated with a small square, instead of a curve for indicating the angle. This means that this angle is exactly 90 degrees. An obtuse angle is more than 90 degrees, but less that 180 degrees. I have drawn some examples in the picture below. After you have identified the type of angle, you know what degree range the angle is going to be in. For example, if the angle is acute, then you know the angle is between 0 degrees or 90 degrees.
6) What strategies can you use to find accurate measurements using tools?
Link For Video #2
To prove my estimates right, I use a tool called a protractor. First, you draw your vertex. Form your vertex, draw a straight line. Place the protractor on the line so that you can see the vertex from the hole in the center, your line is lined up with the lines on your protractor. If we were to draw a 20 degree angle, then I would place by pencil/pen under the 20 degree mark and make a tiny mark. Then I can draw the angle by using a ruler and connecting the vertex with the other point which I drew with my protractor. I have attached two video's demonstrating how to use a protractor.
To prove my estimates right, I use a tool called a protractor. First, you draw your vertex. Form your vertex, draw a straight line. Place the protractor on the line so that you can see the vertex from the hole in the center, your line is lined up with the lines on your protractor. If we were to draw a 20 degree angle, then I would place by pencil/pen under the 20 degree mark and make a tiny mark. Then I can draw the angle by using a ruler and connecting the vertex with the other point which I drew with my protractor. I have attached two video's demonstrating how to use a protractor.
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