Lines and angles
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Transcript of Lines and angles
![Page 1: Lines and angles](https://reader036.fdocuments.us/reader036/viewer/2022062405/555e747bd8b42a34098b5531/html5/thumbnails/1.jpg)
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Ray
Line
Intersecting Lines
Parallel Lines
Line Segment
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RAY: A part of a line, with one endpoint, that continues without end in one direction
LINE: A straight path extending in both directions with no endpoints
LINE SEGMENT: A part of a line that includes two points, called endpoints, and
all the points between them
![Page 4: Lines and angles](https://reader036.fdocuments.us/reader036/viewer/2022062405/555e747bd8b42a34098b5531/html5/thumbnails/4.jpg)
INTERSECTING LINE: The two lines in the same plane are not parallel, they will intersect at a common point. Those lines are intersecting lines. Here C is the common point of AE and DB
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PARALLEL LINES: Lines that never cross and are always the same distance apart
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Perpendicular Lines
Two lines that intersect to form a right angles
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Right Angle:An angle that forms a square corner
Acute Angle:An angle less than a right angle
Obtuse Angle:An angle greater than a right angle
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Straight Angle: It is equal to 180°
Reflex Angle: An angle which is more than 180° but less than 360°
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Complementary Angles: Two angles adding up to 90° are called complementary angles.
Here ABD + DBC are Complementary.
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Supplementary Angles: Two angles adding up to 180° are called supplementary.
ABD + DBC are supplementary
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Transversal: A Transversal is a line that intersect two parallel lines at different points.
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Vertical Angles: Two angles that are opposite angles
1 2
3 4
5 6
7 8
t1 42 35 86 7
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Linear Pair: Two angles that form a line (sum=180)
1 2
3 4
5 6
7 8
t
5+6=1806+8=1808+7=1807+5=180
1+2=1802+4=1804+3=1803+1=180
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Corresponding Angles: Two angles that occupy corresponding positions are equal.
1 52 63 74 8
t
1 2
3 4
5 6
7 8
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Alternate Interior Angles: Two angles that lie between parallel lines on opposite side.
3 64 5
1 2
3 4
5 6
7 8
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Co-Interior Angles: Two angles that lie between parallel lines on the same side of the transversal
1 2
3 4
5 6
7 8
3 +5 = 1804 +6 = 180
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Alternate Exterior Angles: Two angles that lie outside parallel lines on opposite sides of the transversal
1 2
3 4
5 6
7 8
2 71 8
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Angle Sum Property Of Triangle: The sum of the angles of a triangle is 180°.
1
23
1 + 2 + 3 = 180°
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Property of Exterior Angle: If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Angle 1,2,3 are exterior angles of triangle
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Made by:
Manav Gupta