## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 11 Understanding Symmetrical Shapes Ex 11.3

Question 1.

Which of the following are models for perpendicular lines?

(i) The adjacent edges of a postcard.

(ii) the lines of a railway track.

(iii) The line segment forming the letter ‘L’.

(iv) The adjacent edges of your Math book.

(v) The line segments forming the letter ‘V’.

Solution:

(i), (iii) and (iv) are models for perpendicular lines.

Question 2.

In the figure given below, line l is perpendicular to line m.

(a) Is CE = EG?

(b) Does \(\overleftrightarrow { PE } \) bisect segment \(\overline{\mathrm{BH}}\) ?

(c) Identify any two line segments for which \(\overleftrightarrow { PE } \) is the perpendicular bisector.

(d) Are these true?

(i) AC > FG

(ii) CD = GH

(iii) BC < EG.

Solution:

(a) CE = CD + DE

= 1 + 1 = 2 units

EG = EF + FG

= 1 + 1 = 2 units

∴ CE = EG (Yes)

(b) ∵ CE = EG

∴ E is the mid point of BH

Line \(\overleftrightarrow { PE } \) bisect segment \(\overline{\mathrm{BH}}\) (YES)

(c) \(\overline{\mathrm{DF}}, \overline{\mathrm{BH}}\)

(i) True

(ii) True

(iii) True