MATHS 1 Marks Question

The number of lines of symmetry in a rectangle and a rhombus are Equal.Solution:
Both rectangle and rhombus have two lines of symmetry.

A protractor has One line line/ lines of symmetry. Solution: Since, a protractor has a shape of a semi-circle and a semi-circle has only one line of symmetry.

True. Solution: A ray has infinite length and hence, it can be considered that perpendicular line to the given ray divide the ray into two equal halves (parts).

A rhombus is symmetrical about Diagonals. Solution: A rhombus has two lines of symmetry along its diagonals.

The number of lines of symmetry in a rectangle and a square are Unequal. Solution: Since, rectangle has two lines of symmetry, whereas square has four lines of symmetry.

False. Solution: Because a kite has one line of symmetry, i.e.

False.
Solution:
We can draw only one bisector of a given angle.

False. Solution: A circle has infinite number of lines of symmetry all along the diameters.

The number of lines of symmetry in a regular polygon of n sides is n. Solution: Since, a regular polygon has as many lines of symmetry as the number of its sides.

True.
Solution: Both have one line of symmetry.

False. Solution: We know that, rectangle has two lines of symmetry but square has four lines of symmetry.

False. Solution: Since, a regular polygon has as many lines of symmetry as the number of its sides. Therefore, a regular octagon has 8 lines of symmetry.

The line of symmetry of a line segment is the Perpendicular bisector of the line segment. Solution: Since, a perpendicular bisector divides a line segment into two equal and identical parts.

True. Solution: Parallelogram has no line of symmetry.

False. Solution: We can draw only one perpendicular from a point, not lying on the line.

The digits having only two lines of symmetry are 0 and 8.Solution:
Since, zero and eight both have two lines of symmetry.

The common properties in the two set-squares of a geometry box are that they have a Right angle and they are of the shape of a Triangle. Solution: Two set squares of a geometry box have a right angle and they are of the shape of a triangle.

True.
Solution:
With a given radius and a centre, only one circle can be drawn.

False. Solution: Since, if an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.

True.
Solution:
Since, a ray has infinite length, therefore infinitely many perpendiculars can be drawn to it.

A rectangle is symmetrical about the lines joining the Mid-points of the opposite sides.
Solution:
A rectangle has two lines of symmetry along the line segments joining the mid-points of the opposite sides.

True. Solution: Because an equilateral triangle has three lines of symmetry.

The image of a point lying on a line l with respect to the line of symmetry l lies on line l. Solution: The image of a point lying on line L with respect to the line of symmetry L lies on line L.

True. Solution: A right-angled triangle can have one line of symmetry, if it is an isosceles triangle.

True.
Solution:
We can bisect any given line segment, using ruler and compass.

The distance of the image of a point (or an object) from the line of symmetry (mirror) is Same as that of the point (object) from the line (mirror). Solution: The distance of the image of a point from the line of symmetry is same as that of the point from the line.

A rectangle is symmetrical about the lines joining the Mid-points of the opposite sides. Solution: A rectangle has two lines of symmetry along the line segments joining the mid-points of the opposite sides.

True. Solution: A line segment has only one perpendicular bisector.

The number of lines of symmetry in a picture of Taj Mahal is One.

True.
Solution:
Because a square has four lines of symmetry.