Polygon and Angle Reflections
1. What are the common properties of all polygons?
The common properties of a polygon is that they have 3 or more strait sides, all the sides meet at vertices, it is a closed shape, and the sides do not intersect. Polygons can be very different they can be a triangle, rectangle, parallelogram, octagon, and a star.
2. What does the measure in degrees tell you about an angle? What are some common benchmark angles?
The measure of degrees in an angle tells me what type of angle it is, it also tells me how far it is from a full rotation, how to name it, and it tells me how much I would need to add to get to a certain angle. The degrees can be estimated and/or measured to find it's exact degree witch will help in problems. But moving on some common benchmark angles are 90˚, 45˚, and 30˚. These are common benchmark angles because 90˚is 1/4 of a full rotation so it is easy to add and use as a basic estimation point also it is a right angle so it will help you in telling what type of angle it is. But to help you closer you can use 30˚and 45˚ becasue 45˚ is 1/2 of 90˚and is easy to draw, estimate, and add , but if you need even closer use 30˚ because it is 1/3 of 90˚and also easy to draw and add becasue they all add up to 90˚.
3. What strategies can be used to estimate angle measures? To deduce angle measures form given information? To find accurate measurements with tools?
Some strategies for estimating angles are using other common benchmark angles like 90˚, 45˚, and 30˚ witch are easy to draw and make. Another strategy is to measure the other side (if it is easier) and subtract it from a full rotation (360˚). A strategy to deduce angles measures form given information is to subtract it from a full rotation so you know the other angle, you could say that it is less that 180˚ or that its more than 35˚ or that 30˚+ 60˚= 90˚. There is only one tool to measure a angle it is called a protractor. It looks like half a circle with markings on the outside and I will give a step by step picture instructions on how to use it, down below after these pictures.
The common properties of a polygon is that they have 3 or more strait sides, all the sides meet at vertices, it is a closed shape, and the sides do not intersect. Polygons can be very different they can be a triangle, rectangle, parallelogram, octagon, and a star.
2. What does the measure in degrees tell you about an angle? What are some common benchmark angles?
The measure of degrees in an angle tells me what type of angle it is, it also tells me how far it is from a full rotation, how to name it, and it tells me how much I would need to add to get to a certain angle. The degrees can be estimated and/or measured to find it's exact degree witch will help in problems. But moving on some common benchmark angles are 90˚, 45˚, and 30˚. These are common benchmark angles because 90˚is 1/4 of a full rotation so it is easy to add and use as a basic estimation point also it is a right angle so it will help you in telling what type of angle it is. But to help you closer you can use 30˚and 45˚ becasue 45˚ is 1/2 of 90˚and is easy to draw, estimate, and add , but if you need even closer use 30˚ because it is 1/3 of 90˚and also easy to draw and add becasue they all add up to 90˚.
3. What strategies can be used to estimate angle measures? To deduce angle measures form given information? To find accurate measurements with tools?
Some strategies for estimating angles are using other common benchmark angles like 90˚, 45˚, and 30˚ witch are easy to draw and make. Another strategy is to measure the other side (if it is easier) and subtract it from a full rotation (360˚). A strategy to deduce angles measures form given information is to subtract it from a full rotation so you know the other angle, you could say that it is less that 180˚ or that its more than 35˚ or that 30˚+ 60˚= 90˚. There is only one tool to measure a angle it is called a protractor. It looks like half a circle with markings on the outside and I will give a step by step picture instructions on how to use it, down below after these pictures.
First you must align the bottom part of the protractor that has the line 0/180˚ and the small semicircle that has a mark through it and where they meet goes at the vertexes or the middle part where the lines start/end.
Second when you have it lined up you fallow the terminal side to the end of the protractor were the marks are at the end you read the marks depending on where your zero is. and then thats your angle.
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