Math, asked by aswin1379, 5 months ago

define parallel line and transversal along with the type of angles formed by a transversal ​

Answers

Answered by Anonymous
2

Answer:

A transversal is a line that passes through two lines lying in the same plane at two distinct points. In the transversal, the two given lines may be parallel or non-parallel. The angles formed when a transversal intersects two lines are as follows: Corresponding Angles. Alternate Angles.

Answered by Anonymous
7

Answer :-

Parallel lines :-

  • The lines whose perpendicular distance is always same are called parallel lines or in other words the lines which do not intersect each other even on producing them are called parallel lines .

\underline{\textsf{\textbf{\blue{$\dashrightarrow$ Figure $-$}}}}

\setlength{\unitlength}{1 cm}\begin{picture}(12,10)\put(0,0){\line(1,0){5}}\put(2,0){\vector(-1,0){2}}\put(3,0){\vector(1,0){2}}\put(0,4){\line(1,0){5}}\put(2,4){\vector(-1,0){2}}\put(3,4){\vector(1,0){2}}\put(2.9,0){\line(-1,2){2}}\put(0.2,0.2){\line(0, - 1){0.4}}\put(4.8,0.2){\line(0, - 1){0.4}}\put(0.2,3.8){\line(0,1){0.4}}\put(4.8,3.8){\line(0,1){0.4}}\put(2.9,0.3){$\sf M $}\put(0,0.3){$\sf A$ }\put(4.8,0.3){$\sf B $}\put(0,4.3){$\sf C$}\put(4.8,4.3){$\sf D$ } \put(0.8,4.3){$\sf N $}\put(3.4,2){\vector(-1,0){1.5}}\put(3.5,2){$\tt Transversal $}\end{picture}

Types of angles formed :-

\sf\red{\mapsto Alternate\: Interior \:angles} - Alternate interior angles are equal.

\sf\red{\mapsto Alternate\: Exterior \:angles} -Alternate Exterior angles are equal.

\sf\red{\mapsto Corresponding \:angles} - Corresponding angles are equal.

\sf\red{\mapsto Co\: Interior \:angles}- Sum of co - interior angles is 180° .

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