Students can Download Maths Chapter 15 Quadrilaterals Ex 15.5 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 15 Quadrilaterals Ex 15.5

Question 1.

Construct rectangle ABCD with the following data.

(a) AB = 4 cm, BC = 6 cm.

Answer:

Opposite sides of a rectangle are equal as each angle is a right angle.

∴ AB = CD = 4 cm.

Steps:

- Draw a line segment AB = 6 cm.
- Construct a perpendicular at B.
- With a 7 cm radius at A as center draw an arc on the perpendicular. Let the point be C.
- With BC as radius draw an arc from A.
- With AB as radius cut the arc from A.
- Join AD and CD.

(b) AB = 6 cm AC = 7.2 cm

Steps:

- Draw a line segment AB = 6 cm.
- Draw perpendicular at B.
- With a 4 cm radius cut the line at A.
- With AD = 6 cm draw an arc.
- With CD – 4 cm cut the arc.
- Join AD and CD.

Question 2.

Construct square ABCD

(a) Which has side length 2 cm.

(b) Which has diagonal 6 cm.

Answer:

(a). Steps

a

- Draw a line segment AB = 2 cm.
- At A, construct a perpendicular
- With A as center cut the perpendicular
- With a 2 cm radius from B and D draw the arc.
- Join DC and BC.

(b) Steps:

- Draw a line segment AC = 6 cm.
- Construct a perpendicular bisector to AC intersecting at O.
- With O as the center and 3cm radius draw the line on both sides cutting at B and D.
- Join AB, AD, DC & BC.