## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 11 Understanding Symmetrical Shapes Check Your Progress

Question 1.

In the given figure, identify the longest and shortest line segments by measuring their lengths.

Solution:

Longest segment is QR and shortest is QS .

Question 2.

Where will the hour hand of a clock stop if it starts from 10 and turns through 3 right angles?

Solution:

7

Question 3.

Classify the angles whose measures are given below:

(i) 56°

(ii) 125°

(iii) 90°

(iv) 180°

(v) 215°

(vi) 328°

Solution:

(i) Acute angle

(ii) Obtuse angle

(iii) Right angle

(iv) Straight angle

(v) Reflex angle

(vi) Reflex angle

Question 4.

Name the types of the following triangles:

(i) ∆ABC with AB = 8 cm, AC = 7 cm and BC = 5.5 cm.

(ii) ∆PQR with PQ = PR = 5 cm and QR = 7.3 cm.

(iii) ∆DEF with D = ∠90°.

(iv) ∆XYZ with ∠Y = 90° and XY = YZ.

(v) ∆LMN with ∠L = 30°, ∠M = 70° and ∠N = 80°.

Solution:

(i) Scalene triangle.

(ii) Isosceles triangle.

(iii) Right-angled triangled.

(iv) Isosceles right-angled triangle.

(v) Acute angled triangle.

Question 5.

Name each of the following triangles in two different ways (you may use ruler and protractor):

Solution:

(i) Obtuse angled and isosceles,

(ii) Right-angled angle scalene.

(iii) Acute angled and isosceles.

Question 6.

State whether the following statements are true or false:

(i) A rectangle is a regular quadrilateral.

(ii) A rhombus is a regular quadrilateral.

(iii) Every parallelogram is a rhombus.

(iv) The diagonals of a rhombus intersect at right angles.

(v) A polygon having 6 sides is called an octagon.

(vi) A road roller has two plane circular faces and one curved face.

(vii) A rectangular pyramid has 5 rectangular faces.

Solution:

(i) False

(ii) False

(iii) False

(iv) True

(v) False

(vi) True

(vii) False

Question 7.

Draw a rough sketch of a regular octagon and draw a square by joining exactly four of its vertices.

Solution:

ABCDEFGH is a regular octagon

and ACEG is a required square.