7th Grade > Mathematics
SYMMETRY MCQs
:
B
A mirror line helps to visualise a line of symmetry, a shape has a line of symmetry when half of it is the mirror image of the other half. But it is not applicable in the case of left-right changes in the orientation.
eg. R | Я
When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.
:
B
Internal angle of regular polygon = (n−2)×180n
where, n is the number of sides.
Substituting, n = 6 in the above formula, we get internal angle as 120∘ for a regular hexagon.
:
B
Every regular polygon has as many lines of symmetry as the number of its sides. So, they have multiple lines of symmetry.
:
B
Diagonal of a rectangle divides the rectangle into two triangles that are congruent, but folding along the line AB does not make the two triangles coincide with each other.
Hence AB is not a line of symmetry.
:
The order of rotational symmetry of a square about its centre is 4. The angle of rotation in a square is 90∘.
:
B
A regular hexagon's order of rotational symmetry is six.
Step 1: Order of rotational symmetry depends upon the number of equal sides that a regular polygon has.
Step 2: The given figure has 6 equal sides.
Step 3: So, it has rotational symmetry of order 6.
Consider a regular pentagon. Mark the centre of pentagon as O. Centre of pentagon is defined as a point which is equidistant from all the vertices. Hence, if a vertical line is drawn through O, perpendicular to the plane in which pentagon is drawn, then the vertical line is called as line of symmetry. State true or false.
:
B
If a vertical line is drawn through O, perpendicular to the plane in which pentagon is drawn, then the vertical line is called axis of symmetry. Hence, the given statement is false.
:
C
A square has 4 lines of symmetry.
A rectangle has 2 lines of symmetry.
A regular pentagon has 5 lines of symmetry.
An isosceles triangle has only one line of symmetry.
Thus, the figures with more than one line of symmetry are: square, rectangle and regular pentagon.