Q8 of 32 Page 60

Two straight lines are respectively perpendicular to two parallel lines. Show that both these straight lines are parallel to each other.


Given:


Two straight lines are respectively perpendicular to two parallel lines


Theory:


⇒ If a transverse intersecting 2 lines and corresponding angles forms are thus equal then 2 lines are parallel


As both lines are perpendicular to parallel lines


The angle made by them on parallel lines will be 90°


Then taking one parallel line to be transverse


their corresponding will be equal


If both lines having a transverse and having corresponding angles to be equal


Then both lines are parallel.


More from this chapter

All 32 →
6

In figure 5.34 BA || ED and BC || EF. Show that ∠ABC + ∠DEF = 180°.

 7

In figure 5,35 DE || QR and AP and BP are respectively the bisectors of ∠EAB and ∠RBA Find the value of ∠APB.

 9

In figure 5.36 AB || CD, CD || EF and y : z = 3 : 7 then find the value of x.

 10

In figure 5.37 PQ and RS are two mirrors which are parallel to each other. An incident ray AB getting reflected from point B of the mirror PQ and moving along the path BC again gets reflected from point C of the mirror RS and moves along the path CD. Then prove that AB || CD.