Understanding elementary shapes Ex-5.5

NCERT solutions for Maths Understanding elementary 

NCERT Solutions for Class 6 Maths Understanding elementary

Class –VI

Mathematics

(Ex. 5.5)

Question 1.Which of the following are 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.

Answer: (a) Perpendicular

(b) Not perpendicular

(c) Perpendicular

(d) Not perpendicular

NCERT Solutions for Class 6 Maths Exercise 5.5

Question 2.Let $\overline {{\text{PQ}}}$ be the perpendicular to the line segment $\overline {{\text{XY}}} .$ Let $\overline {{\text{PQ}}}$ and $\overline {{\text{XY}}}$ intersect in the point A. What is the measure of $\angle$PAY.

Answer: Sol.

$\angle$PAY = ${90^ \circ }$

Question 3.There are 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?

Answer: One set-square has ${45^ \circ },{90^ \circ },{45^ \circ }$ and other set-square has ${60^ \circ },{90^ \circ },{30^ \circ }$. They have ${90^ \circ }$ as common angle.

NCERT Solutions for Class 6 Maths Exercise 5.5

Question 4.Study the diagram. The line $l$ is perpendicular to line $m.$

(a)Is CE = EG?

(b)Does PE bisect 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

Answer:

(a) Yes, both measure 2 units.

(b) Yes, because CE = EG

(c) $\overline {{\text{DF}}}$ and $\overline {{\text{CG}}}$, $\overline {{\text{BH}}}$

(d) (i) True, (ii) True, (iii) True