How To Draw An Angle With A Protractor
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Using a protractor tin be tricky, specially if you are using one with two sets of numbers. If you understand the concept of acute and birdbrained angles, notwithstanding, learning how to utilise a protractor is easy. It is kickoff necessary to understand the features on a protractor, and so that yous understand how to use information technology. Once you have this understanding, you tin can quickly use a protractor to make whatever size bending betwixt 0 and 180 degrees.
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i
Locate the base line. This horizontal line is at the bottom of the protractor. One vector of your bending should always line up with the base line.
- Since a straight line is 180 degrees, the base line marks a 180-degree bending.
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2
Locate the origin hole. This is a small hole at the midpoint of the base line. You lot use this pigsty to create the vertex of the angle. The vertex is the indicate at which the 2 vectors meet, creating an angle.
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3
Locate the degree measurements. Nigh protractors have two sets of numbers, an outer set and an inner ready. Which fix of numbers yous employ volition depend on whether your angle opens to the correct, or opens to the left. The sets of numbers can exist ready differently on each protractor, so you need to figure out for yourself which gear up of numbers to employ. To decide which set of numbers to utilize, you demand to understand right, astute, and obtuse angles.[1]
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i
Identify a right bending. A right angle has a measurement of 90 degrees.[ii] A 90-degree angle volition wait similar the corner of a foursquare. The two vectors of the angle are perpendicular, and open up exactly halfway towards a straight line (which is 180 degrees).
- When you line upwards the base line of the protractor with i vector of a right bending, the other vector will line up with the 90-caste mark of the protractor. This is halfway between either side of the protractor. Both the inner and outer sets of numbers on the protractor will show 90 degrees at this point.
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two
Identify an acute bending. An acute angle has a measurement of less than 90 degrees.[3] This means that the two vectors will be closer together than they are in a 90-degree angle. They volition open less than halfway towards a straight line. If the angle yous are drawing is less than 90 degrees, make certain y'all apply the set of numbers that gives yous the smaller bending.
- For example, a 45-degree angle is acute, because 45 is less than 90. If y'all line up the base of operations line of the protractor with one vector of a 45-degree angle, the other vector will line upwards with the 45-degree mark and the 135-caste mark of the protractor. Yous will know which line to wait at considering you know it is an acute angle, and an acute angle should be less open up than a 90-caste angle.
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3
Identify an obtuse bending. An obtuse angle has a measurement of more than 90 degrees.[4] The two vectors of an birdbrained bending are further autonomously than they are in a xc-degree angle. They volition open more than halfway to a straight line. If the angle you are drawing is more than 90 degrees, make certain yous apply the set of numbers that gives you the larger angle.
- For case, a 120-degree angle is obtuse, because 120 is greater than 90. If you line up the base line of the protractor with ane vector of a 120-degree angle, the other vector volition line up with the 120-degree marking and the 60-degree marker. If you know you lot are looking for an obtuse angle, you know to use the 120-degree marker, because an obtuse angle should be more open up than a ninety-caste angle.
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4
Ignore the orientation of the angle. Whether an angle opens to the left or to the right does not affect whether information technology is right, acute, or birdbrained. All that matters is the measurement of the angle in degrees. The manner the angle opens but changes the gear up of numbers you will look at on your protractor.
- For example, if a 45-caste angle opens to the right, you might have to look at the inner set of numbers. Just if you were to turn that angle around so that it opens to the left, information technology would still measure 45 degrees, simply this time when yous measure it, you would take to look at the outer set of numbers.
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1
Make up one's mind the measurement of the angle you are cartoon. Note whether the angle is acute or birdbrained.
- For example, you might need to draw a 45 degree angle. Since 45 is less than 90, this is an astute angle. That means y'all will use the set of numbers that gives you the smaller angle, since the bending will open less than halfway towards a straight line.
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2
Describe a straight line. You tin do this using a ruler or the straightedge of your protractor. This line will course the start vector of your bending.
- The length of the line does not necessarily matter, but the longer it is, the easier information technology will be to line it up to the base line. The all-time method is to draw a line running the length of the protractor's border.
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iii
Marshal the origin hole at nearly the midpoint of the line. Make sure that the base line of the protractor lines up with the line y'all drew.[5] Draw a midpoint for your reference.
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4
Marker the angle measurement. Make this mark along the outside of the protractor past the appropriate degree marker. To brand sure yous are making the mark at the correct place, ask yourself the following questions:
- Will my bending open to the right, or to the left?
- Is my angle less (acute) or greater (birdbrained) than xc degrees?
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5
Depict the second vector of the angle. Utilise a ruler or straightedge to join the origin point on the base line to the degree mark.
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6
Erase whatever unnecessary lines. Y'all volition likely need to erase part of the base line you drew. Otherwise, you lot may take two angles drawn, and information technology may be unclear to another person which is your intended angle.
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Add New Question
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Question
What are angles opening to the left called?
The type of angle is non determined by which way it opens. An angle is either astute, right, or obtuse, no matter which way it opens. All that matters is the size of the angle. For instance, you lot can draw a 45 degree angle opening to the left, or opening to the right. Either fashion, it is an acute angle.
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Question
How practice I use a protractor that doesn't have a pigsty?
Utilize the outside, curved edge.
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Question
What nearly the angle that we want to make in the circle?
If y'all're referring to a key angle, draw a bore. Line up the lesser of the protractor with the diameter then that the midpoint of the protractor aligns with the center of the circle. Apply the protractor to draw any central bending upwards to 180°, using some other bore (or radius) to complete the angle.
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Question
Are three sides (sss) congruent or not?
Yes, if each side of a triangle is congruent with (the same length equally) a side of another triangle, the 2 triangles are congruent.
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Question
How do I describe 180 degrees?
A 180° angle forms a direct line. The vertex of the angle can be considered to be any signal on that line with the rays of the angle extending out in both directions from the vertex.
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An acute angle is an angle from 0 to 89 degrees, which is less than a right angle.
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A right angle is an angle that is exactly 90 degrees.
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An obtuse angle is an angle greater than a right angle, merely less than a straight angle. Information technology can exist anything ranging from 91 degrees to 179 degrees.
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A direct angle measures to 180 degrees.
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