ICSE solutions for Mathematics [English] Class 10 chapter 12 - Symmetry [Latest edition]

In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.

In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.

In each of the figure below, an additional line is indicated by dots. Observe, name the figure and state if the figure is symmetrical about the dotted line.

Every diameter of circle is an axis of the symmetry for the circle. Each of the figure below contain a circle or a part of a circle. State the number of axis of symmetry in each case and also indicate them.

 

Draw a line of symmetry of semi-circle.

In the figure below are an isosceles triangle; state if the triangle is a symmetrical figure. If a figure is symmetrical, state the number of axis of symmetry and indicate them by dotted line.

In the figure below are an isosceles triangle; state if the triangle is a symmetrical figure. If a figure is symmetrical, state the number of axis of symmetry and indicate them by dotted line.

In the figure below are an isosceles triangle; state if the triangle is a symmetrical figure. If a figure is symmetrical, state the number of axis of symmetry and indicate them by dotted line.

Draw a diagram and name the figure in the following:
A quadrilateral having four lines of symmetry, two of which contain its diagonals.

Draw a diagram and name the figure in the following:
A triangle with only one line of symmetry.

Draw a diagram and name the figure in the following:
A quadrilateral having only one line of symmetry.

In each of the figure below, state the number of axes of symmetry, if any.

In each of the figure below, state the number of axes of symmetry, if any.

In each of the figure below, state the number of axes of symmetry, if any.

Draw an isosceles ΔABC, where BC = 3.5 cm, the base angles C and B = 75°. Use ruler and compass only. Draw all lines of symmetry of the triangle.

Construct a rectangle ABCD with AB = 5 cm and AD = 3cm. Construct its lines of symmetry.

Draw an equilateral triangle each of whose side is 4 cm. Draw all its lines of symmetry.

Draw two circles each of radius 2.5 cm touching each other. Construct the lines of symmetry of these circles.

Use a ruler and compass only in this question.
Construct the quadrilateral ABCD in which AB = 5 cm, BC = 7 cm and angle ABC = 120°, given that AC is its only line of symmetry.

Use a ruler and compass only in this question.
Write down the geometrical name of the quadrilateral.

Part of geometrical figure is given in each of the diagrams below. Complete the figures, so that the line ‘m’, in each case, is the line of symmetry, of the completed figure. Recognizable free hand sketches, would be awarded full marks.

Part of geometrical figure is given in each of the diagrams below. Complete the figures, so that the line ‘m’, in each case, is the line of symmetry, of the completed figure. Recognizable free hand sketches, would be awarded full marks.

Part of geometrical figure is given in each of the diagrams below. Complete the figures, so that the line ‘m’, in each case, is the line of symmetry, of the completed figure. Recognizable free hand sketches, would be awarded full marks.

Part of geometrical figure is given in each of the diagrams below. Complete the figures, so that the line ‘m’, in each case, is the line of symmetry, of the completed figure. Recognizable free hand sketches, would be awarded full marks.

Draw an equilateral triangle each of whose sides is 4 cm. Draw all its lines of symmetry.

Construct a ΔABC, in which AB = AC = 3 cm and BC = 2cm. Using a ruler and compasses only, draw the reflection of A’BC of ΔABC, in BC. Draw the lines of symmetry in the figure ABA’C.

A quadrilateral ABCD has exactly one axis of symmetry, which is not a diagonal. Show that the quadrilateral is an isosoeles trapezium.

Part of a geometrical figure is given in each of the diagram below. Complete the figures so that both the X-axis and the Y-axis are lines of symmetry of the completed figure.




Give the geometrical name of the completed figure.
(You may use graph paper if required).
Freehand sketches would be sufficient.

Part of a geometrical figure is given in each of the diagrams below. Complete the figures so. that the line AB in each case is a line of symmetry of the completed figure.
Give also the geometrical name for the completed figure. Recognizable free hand Sketches would be awarded full marks.

Part of a geometrical figure is given in each of the diagrams below. Complete the figures so. that the line AB in each case is a line of symmetry of the completed figure.
Give also the geometrical name for the completed figure. Recognizable free hand Sketches would be awarded full marks.

Part of a geometrical figure is given in each of the diagrams below. Complete the figures so. that the line AB in each case is a line of symmetry of the completed figure.
Give also the geometrical name for the completed figure. Recognizable free hand Sketches would be awarded full marks.

Part of a geometrical figure is given in each of the diagrams below. Complete the figures so. that the line AB in each case is a line of symmetry of the completed figure.
Give also the geometrical name for the completed figure. Recognizable free hand Sketches would be awarded full marks.