Mathematics
Statement I: Two squares are placed edge to edge. There are 4 lines of symmetry in the resulting figure.
Statement II: A smaller circle and a larger circle are drawn with the same centre. The resulting figure has 8 lines of symmetry.
Statement I is true but statement II is false.
Statement I is false but Statement II is true.
Both Statement I and Statement II are true.
Both Statement I and Statement II are false.
Answer
Statement I is false. When two equal squares are placed edge to edge, the resulting figure is a rectangle (with length = 2 × breadth), which has only 2 lines of symmetry (the horizontal and vertical lines through its centre), not 4.
Statement II is false. Two concentric circles (one inside the other with the same centre) have infinitely many lines of symmetry — every line through the common centre is a line of symmetry, not just 8.
Hence, Option 4 is the correct option.
Related Questions
Statement I: Consider the adjoining figure. It has only one line of symmetry.
Statement II: A semicircle has one line of symmetry, whereas an arrowhead has 2 lines of symmetry.
Statement I is true but statement II is false.
Statement I is false but Statement II is true.
Both Statement I and Statement II are true.
Both Statement I and Statement II are false.
Draw the line (or lines) of symmetry, if any, of the following figure/picture and count their number:
Draw the line (or lines) of symmetry, if any, of the following figure/picture and count their number:
