Why does scalene triangle have no lines of symmetry?

Why does scalene triangle have no lines of symmetry?

A scalene triangle is a triangle that has all the three sides unequal. But for any other scalene triangle too, because they do not have any side or angle equal so there is no line of symmetry in them.

How many lines of symmetry has a triangle?

3
Triangle/Line of symmetry

How many lines of symmetry does an isosceles triangle have?

1
Isosceles triangle/Line of symmetry

Which triangle has 2 lines of symmetry?

isosceles triangle
Any isosceles triangle has line symmetry. The dashed lines represent lines of symmetry, and each shape is said to be symmetrical about this line. A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four.

What triangle has 3 line of symmetry?

equilateral triangle
An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

Which figure has only one line of symmetry?

Quadrilaterals

Kite Rhombus (all sides equal length)
1 Line of Symmetry 2 Lines of Symmetry

What shape has only one line of symmetry?

Trapezium. A trapezium has rotational symmetry of order one. Some trapeziums have one line of symmetry. They are called isosceles trapeziums as they have 2 sides of an equal length like isosceles triangles.

Which shape has 2 lines of symmetry?

Rectangle
Rectangle. A rectangle has two lines of symmetry. It has rotational symmetry of order two.

Which triangle has 3 lines of symmetry?

Which figure has only 1 line of symmetry?

trapeziums
Trapezium. A trapezium has rotational symmetry of order one. Some trapeziums have one line of symmetry. They are called isosceles trapeziums as they have 2 sides of an equal length like isosceles triangles.

Which shape has only 2 lines of symmetry?

Rhombus
Quadrilaterals

Kite Rhombus (all sides equal length)
1 Line of Symmetry 2 Lines of Symmetry

Can you draw a triangle with 2 lines of symmetry?

(AB = AC = BC in triangle ABC). As we can see, this triangle has exactly three lines of symmetry. So this is not our required triangle. Hence, there exists no triangle with exactly two lines of symmetry.

How many lines of symmetry does an equilateral triangle have?

All three angles and sides of an equilateral triangle are equal. Thus, an equilateral triangle has three lines of symmetry, each passing through the midpoint of a side and the opposite vertex. In an Isosceles triangle, two sides and their included angles are equal in measure.

What are the rules of an isosceles triangle?

Rules for Isosceles and Equilateral Triangles. The given triangle is an equilateral, it is said to be equiangular. The two sides of the triangle are said to be congruent, and then the two sides of the triangles are the base angles of an isosceles triangles. The triangle is said to be an equiangular, it is represented as equilateral.

Does triangle have lines of symmetry?

Symmetry is not a general property of triangles. Scalene triangles do not have lines of symmetry. Isosceles triangle have just one line of symmetry: the bisector of the angle between the couple of equal sides.

How do you measure a triangle?

Each small triangle is exactly half its small rectangle. In other words: the size of our triangle is exactly half the size of the rectangle. So, if you want to measure a triangle, you just multiply its base \\(b\\) times its height \\(h\\), and then divide by two.