Ray

Line

Intersecting Lines

Parallel Lines

Line Segment

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

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

PARALLEL LINES: Lines that never cross and are always the same distance apart

Perpendicular Lines

Two lines that intersect to form a right angles

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

Straight Angle: It is equal to 180°

Reflex Angle: An angle which is more than 180° but less than 360°

Complementary Angles: Two angles adding up to 90° are called complementary angles.

Here  ABD + DBC are Complementary.

Supplementary Angles: Two angles adding up to 180° are called supplementary.

ABD +  DBC are supplementary

Transversal: A Transversal is a line that intersect two parallel lines at different points.

Vertical Angles: Two angles that are opposite angles

1 2

3 4

5 6

7 8

t1 42 35 86 7

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

Corresponding Angles: Two angles that occupy corresponding positions are equal.

1 52 63 74 8

t

1 2

3 4

5 6

7 8

Alternate Interior Angles: Two angles that lie between parallel lines on opposite side.

3 64 5

1 2

3 4

5 6

7 8

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

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

Angle Sum Property Of Triangle: The sum of the angles of a triangle is 180°.

1

23

1 + 2 + 3 = 180°

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

Made by:

Manav Gupta