Mathematics
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.
Answer
Statement I is true. The given figure (combination of an arrowhead-like shape on top of a semicircular shape) has exactly one line of symmetry — the vertical line passing through its centre.
Statement II is false. A semicircle has one line of symmetry (the perpendicular bisector of its diameter), but an arrowhead also has only one line of symmetry (its diagonal), not 2.
Hence, Option 1 is the correct option.
Related Questions
Statement I: Any two-dimensional figure has atleast one line of symmetry.
Statement II: A mirror line is called a line 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.
Statement I: Ram draws two squares and two rectangles, as shown in the adjacent figure. Next, he draws lines of symmetry in each figure. The total lines of symmetry he draws are 10.
Statement II: All the lines of symmetry of a circle are also its diameters.
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.
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.