Q3 of 23 Page 22

Prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line

The diagram is given below:



To find: transversal line will be perpendicular to other parallel line.


AB ∥ CD and EF is transversal both.


So, ∠ EOB = ∠ O O1D = 90°


So that transversal line will perpendicular to other parallel line also. (hence proved)


More from this chapter

All 23 →
1

Select the correct alternative and fill in the blank in the following statements.

Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75° then the measure of the other angle is .............

 2

Ray PQ and ray PR are perpendicular to each other. Points B and A are in the interior and exterior of ∠QPR respectively. Ray PB and ray PA are perpendicular to each other.

Draw a figure showing all these rays and write -


i. A pair of complementary angles


ii. A pair of supplementary angles.


iii. A pair of congruent angles.


iii. A pair of congruent angles.

 4

In figure 2.24, measures of some angles are shown. Using the measures find the measures of ∠ x and ∠ y hence show that line l ∥ line m.

 5

Line AB ∥ CD ∥ Line EF and line QP is their transversal. If Y: z = 3:7 then find the measure of ∠x. (See figure 2.25.)