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(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.
Can a triangle have 2 lines of symmetry?
2. Few shapes or figures have one line of symmetry, two lines of symmetry or multiple lines of symmetry. The equilateral triangle has three lines of symmetry whereas a scalene triangle does not have any line of symmetry as its all sides are different.
Why can’t a triangle have 2 lines of symmetry?
A line of symmetry for a triangle must go through one vertex. The two sides meeting at that vertex must be the same length in order for there to be a line of symmetry. The triangle with side lengths 2,4,5 cannot have any lines of symmetry as the side lengths are all different.
Can you draw a triangle which has exactly two lines of symmetry if yes write the name of that triangle?
Isosceles triangle It has two equal sides.
Can you draw a triangle which has exactly line of symmetry?
(a) Yes. An isosceles triangle can be drawn that has only 1 line of symmetry.
What shapes have exactly 2 lines of symmetry?
Rectangle A rectangle has two lines of symmetry. It has rotational symmetry of order two.
Which shape has only 2 lines of symmetry?
Rectangle. A rectangle has two lines of symmetry.
How many lines of symmetry a triangle has?
3
Can we draw triangle with two right angles?
It is not possible to draw a triangle with two right angles. There will not be a third angle. So, we cannot draw any triangle.
How many symmetry does a triangle have?
Triangles Equilateral Triangle (all sides equal, all angles equal) Isosceles Triangle (two sides equal, two angles equal) Scalene Triangle (no sides equal, no angles equal) 3 Lines of Symmetry 1 Line of Symmetry No Lines of Symmetry.
Can you draw a triangle which has 1 exactly one line of symmetry 2 exactly two lines of symmetry 3 exactly three lines of symmetry 4 no lines of symmetry?
Sketch a rough figure in each case. This is an isosceles triangle. (b) No, as there exists no triangle with only two symmetry lines. Hence, no such triangle is possible.
In which figure there is exactly two triangles?
Isosceles triangle Isosceles triangle with vertical axis of symmetry Type triangle Edges and vertices 3 Schläfli symbol ( ) ∨ { }.
How many lines of symmetry does an isosceles triangle have?
1
Do you not have any line of symmetry?
A scalene triangle, parallelogram, and a trapezium are three examples of shapes with no line of symmetry.
What shape has no lines of symmetry?
Two shapes that have no lines of symmetry are the scalene triangle and an irregular quadrilateral.
What type of triangle has 2 lines of symmetry?
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.
Is an isosceles a right triangle?
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.
Is it possible to sketch a right angled isosceles triangle?
We know that, sum of angles in a triangle is 180∘ and the triangle to equilateral all the sides should be equal and all the corresponding angles also should be equal. So, it is not possible to draw obtuse angled equilateral triangles. So, it is not possible to draw a right angled equilateral triangle.
Is it possible for a triangle to have 2 obtuse angles?
Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they have no 90° angle.
Is SAS a postulate?
Side Angle Side Postulate The SAS Postulate tells us, If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Is it possible that three points are coplanar?
Answer: In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. Two lines that are not coplanar are called skew lines.
How many element are there in a triangle?
A triangle has total six elements. They are its three angles and three sides.
Do all shapes have a line of symmetry?
Each regular polygon (equilateral triangle, square, rhombus, regular pentagon, regular hexagon etc.) are symmetry. Some figures like scalene triangle and parallelogram have no lines of symmetry.
What is an example of line symmetry?
A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. An equilateral triangle has 3 lines of symmetry.
Does an oval have line symmetry?
In general, an ellipse has two lines of symmetry.
Is scalene triangle?
A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent.
Which shape has more than 2 lines of symmetry?
We know that in one symmetrical figure may have more than one line of symmetry. Some shape may have two or more lines of symmetry like a circle has infinite lines of symmetry. A square has four lines of symmetry. A rectangle has two lines of symmetry.
What are the 4 types of symmetry?
Types of symmetries are rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry. These four types of symmetries are examples of different types of symmetry on a flat surface called planar symmetry.
Is a right scalene triangle possible?
Note: It is possible for a right triangle to also be scalene or isosceles. An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle).
Is it possible to have a right-angled scalene triangle?
A scalene triangle can be acute-angled or obtuse-angled or right-angled.
What is a 45 degree triangle called?
A 45 – 45 – 90 degree triangle (or isosceles right triangle) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of. Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length).
Can an obtuse triangle be equilateral?
Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time.
Can a right angled triangle have 2 equal sides?
Yes, a right triangle can have two equal sides. The longest side is called the hypotenuse and the other two sides may or may not be equal to each other. A right triangle that has two equal sides is called an isosceles right triangle.
