Symmetry Mathematics - Symmetry

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

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

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.

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.

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.

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.

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.

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

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.