**Understanding Elementary Shapes Class 6 Ex. 5.5 **

**New Ncert Class 6 Math Free Solution.**

**Exercise 5.5**

**Question 1 :- Which of the following are the models for perpendicular lines:**

**(a) The adjacent edges of a table-top.**

**(b) The lines of a railway track.**

**(c) The line segments forming the-letter ‘L’.**

**(d) The letter V.**

**Solution 1:-**

(a) Perpendicular.

(b) Not perpendicular, railroad tracks have parallel lines running through them. They do not serve as a model for perpendicular lines, therefore.

(c) Perpendicular.

(d) Not perpendicular.

**Question 2 :- Let PQ be the perpendicular to the line-segment XY. Let PQ and XY intersect in the point A. What is the measure of ∠PAY?**

**Solution 2:-**

Since PQ ⊥ XY

**∠PAY = 90°**

**Question 3 :- There are the two set-squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?**

**Solution 3:-**

The figures for the two set-squares are shown below:

Triangle (a) has measure angles of 30, 60, and 90 degrees.

The measure angles of triangle (b) are 45°, 45° and 90°.

They do have a common angle of 90 degrees.

**Question 4 :- Study the diagram. The line l is perpendicular to line m.**

**(a) Is CE = EG?**

**(b) Does PE bisects CG?**

**(c) Identify any two line-segments for which PE is the perpendicular bisector.**

**(d) Are these true?**

**(i) AC > FG**

**(ii) CD = GH**

**(iii) BC < EH**

**Solution 4:-**

(a) Yes,

Since CE and EG both equal two units,

Hence, CE = EG.

(b) Yes, PE bisects CG

(c) Required line segments for which PE is perpendicular bisector are: BH and DF.

(d) (i) True

(ii) True

(iii) True

**Free Understanding Elementary Shapes Class 6 Exercise. 5.5 for Free (2023-24).**