Lines and Angles

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LINES AND ANGLES :

LINES AND ANGLES : AMAN PUNIA CLASS IX-”A” ROLL NO -23

PARALLEL LINES:

PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l || m AB || CD l m A B C D

PowerPoint Presentation:

Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking

PowerPoint Presentation:

Examples of Parallel Lines LINE A LINE B HERE LINE A and LINE B Are PARALLEL

PERPENDICULAR LINES:

PERPENDICULAR LINES Def: Lines that intersect to form a right angle. Illustration: Notation: m  n Key Fact: 4 right angles are formed. m n

PowerPoint Presentation:

Ex. of Perpendicular Lines Window panes : The Window Panes are PERPENDICULAR to each other

Transversal:

Transversal Def: a line that intersects two lines at different points Illustration: t

Vertical Angles:

Vertical Angles Two angles that are opposite angles. 1 2 3 4 5 6 7 8 t 1 =  4 2 =  3 5 =  8 6 =  7

Vertical Angles:

Vertical Angles Find the measures of the missing angles 125  ? ? 55  t 55  125 

Supplementary Angles/ Linear Pair:

Supplementary Angles/ Linear Pair Two angles that form a line (sum=180  ) 1 2 3 4 5 6 7 8 t 5+  6=180 6+  8=180 8+  7=180 7+  5=180 1+  2=180 2+  4=180 4+  3=180 3+  1=180

Supplementary Angles/ Linear Pair:

Supplementary Angles/ Linear Pair Find the measures of the missing angles ? 72  ? t 108  108  180 - 72

Corresponding Angles:

Corresponding Angles Two angles that occupy corresponding positions. Top Left t Top Left Top Right Top Right Bottom Right Bottom Right Bottom Left Bottom Left 1 =  5 2 = 6 3 =  7 4 =  8 1 2 3 4 5 6 7 8

Corresponding Angles:

Corresponding Angles Find the measures of the missing angles 145  ? t 35  145 

Alternate Interior Angles:

Alternate Interior Angles Two angles that lie between parallel lines on opposite sides of the transversal t 3 =  6 4 =  5 1 2 3 4 5 6 7 8

Alternate Interior Angles:

Alternate Interior Angles Find the measures of the missing angles 82  ? t 98  82 

Alternate Exterior Angles:

Alternate Exterior Angles Two angles that lie outside parallel lines on opposite sides of the transversal t 2 =  7 1 =  8 1 2 3 4 5 6 7 8

Alternate Exterior Angles:

Alternate Exterior Angles Find the measures of the missing angles 120  ? t 60  120 

Consecutive Interior Angles:

Consecutive Interior Angles Two angles that lie between parallel lines on the same sides of the transversal t 3 + 5 = 180 4 + 6 = 180 1 2 3 4 5 6 7 8

Consecutive Interior Angles:

Consecutive Interior Angles Find the measures of the missing angles ? t 135  45  180 - 135

THANK YOU :

THANK YOU  THANK YOU 

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