In given figure, A B ∥ C D and J K , L M and N O are the lines intersecting A B and C D . Name the pair of mutually perpendicular lines.

Given figure: When two lines are at right angles to each other or when the angle between two intersecting lines is 90 ° , then they are said to be perpendicular. From the figure, we see that, A B is perpendicular to J K , A B is perpendicular to L M , and A B is perpendicular to N O . Similarly, C D is perpendicular to J K , C D is perpendicular to L M , and C D is perpendicular to N O . Hence, the pair of mutually perpendicular lines are: A B and J K , A B and L M , A B and N O , C D and J K , C D and L M , C D and N O .

In given figure, A B ∥ C D and J K , L M and N O are the lines intersecting A B and C D . Are the lines A B and C D perpendicular to each of the line J K , L M and N O ?

Given figure: When two lines are at right angles to each other or when the angle between two intersecting lines is 90 ° , then they are said to be perpendicular. From the figure, we see that, A B is perpendicular to J K , A B is perpendicular to L M , and A B is perpendicular to N O . Similarly, C D is perpendicular to J K , C D is perpendicular to L M , and C D is perpendicular to N O . Hence, yes, the lines A B and C D perpendicular to each of the line J K , L M and N O .

In given figure, A B ∥ C D and J K , L M and N O are the lines intersecting A B and C D . Are J K , L M and N O parallel to each other? Give reasons.

Given figure: From the figure we can see that, J K M L and L M O N form two quadrilaterals, whose, All internal angles are equal to 90 ° So, we can say that, J K M L & L M O N form two rectangles. Since a Rectangle is a special type of Parallelogram, the opposite sides of a Rectangle will be parallel to each other. In quadrilateral J K M L , J K ∥ M L and In quadrilateral L M O N , M L ∥ N O Hence, yes, J K , L M and N O are parallel to each other.

E M B I B E

ICSE MATHEMATICS - 6>Geometry>Chapter 14 - Understanding Elementary Shapes>EXERCISE 14.4

B Nirmala Shastry Solutions for Exercise 4: EXERCISE 14.4

Author:B Nirmala Shastry

B Nirmala Shastry Mathematics Solutions for Exercise - B Nirmala Shastry Solutions for Exercise 4: EXERCISE 14.4

Attempt the practice questions from Exercise 4: EXERCISE 14.4 with hints and solutions to strengthen your understanding. ICSE MATHEMATICS - 6 solutions are prepared by Experienced Embibe Experts.