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.