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Is it possible for a triangle to have two lines of symmetry?
No, it's not. Reflecting a triangle about *any* line has to move at least one corner (if all three stayed in place, they'd all have to be on a line, which is impossible). If the line is a line of symmetry, the result should be the same triangle, which means that the corner got moved to another corner. Reflections don't change angles, so the angles at two corners are equal. If there are TWO lines of symmetry, there's two DIFFERENT pairs of equality between the angles: angle A equals angle B, and angle B equals angle C. But then, a third pair of equality has to exist: angle A must equal angle C. This means the triangle is equilateral, and has three lines of symmetry! So the only way for the triangle to have two lines of symmetry is for it to have three.
How many lines of symmetry does a dodecagon?
A dodecagon has 12 sides, so it has 12 lines of symmetry. Each line of symmetry divides the dodecagon into two equal halves, making it look like a mirror image. So, if you're ever in doubt, just remember that a dodecagon is as symmetrical as a Kardashian selfie.
Are isoceles triangles always symmetrical?
for a triangle to be an isosceles triangle, two of its sides and its corresponding angle must be equal. all isosceles triangles have at least one line of symmetry
Triangle with 2 lines of symmetry?
A triangle with two lines of symmetry does not exist. It can have one line of symmetry (an isosceles triangle) or three (an equilateral triangle), but not two.
Do all figures with rotational symmetry also have reflection symmetry?
No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
How lines of symmetry does a decagon have?
None are guaranteed.If it is a regular decagon (convex, with all side lengths equal and all angle measures equal), then there are 10 lines of symmetry.
Which triangle has one line of symmetry?
An ISOSCELES TRiangle. The line of symmetry is from the angle of the two equal adjacent sides, to the mid-point of the NON-equal side.
What shape has 2 equal angles and 2 equal sides and 1 line of symmetry?
Sounds like an isosceles triangle, with the line of symmetry from the third angle to the mid-point of the third side.
How many lines of symmetry are in a triangle?
The number of lines of symmetry of a triangle depends upon the kind of triangle it is:A scalene triangle with no side lengths equal has no lines of symmetry;An isosceles triangle with two sides equal has 1 line of symmetry that bisects the angle between the two equal sides;An equilateral triangle with all three sides equal has three lines of symmetry - the three lines are the bisectors of the three angles.A right triangle is a triangle where one angle is 90°. A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle.No triangle can have exactly 2 lines of symmetry.
What is a quadrilateral with 2 pairs of equal adjacent sides an axis of symmetry and 1 reflex angle?
Kite
A quadrilateral with 2 pairs of equal adjacent sides 1 axis of symmetry and 1 reflex angle?
parallelogram
What will be the changes in a triangle if draw axis of symmetry in it?
You will finish up with 2 triangles which are mirror images of each other, each with one angle being a right-angle. There is no axis if symmetry unless at least 2 of the 3 sides are equal.
Is it possible for a triangle to have two lines of symmetry?
No, it's not. Reflecting a triangle about *any* line has to move at least one corner (if all three stayed in place, they'd all have to be on a line, which is impossible). If the line is a line of symmetry, the result should be the same triangle, which means that the corner got moved to another corner. Reflections don't change angles, so the angles at two corners are equal. If there are TWO lines of symmetry, there's two DIFFERENT pairs of equality between the angles: angle A equals angle B, and angle B equals angle C. But then, a third pair of equality has to exist: angle A must equal angle C. This means the triangle is equilateral, and has three lines of symmetry! So the only way for the triangle to have two lines of symmetry is for it to have three.
Racemic mixtures and meso compounds?
A racemic mixture contains equal amounts of two enantiomers, resulting in no overall optical activity. In contrast, a meso compound is a molecule with chiral centers but possesses an internal plane of symmetry, making it optically inactive despite having stereogenic centers.
What is a quadrilateral with two pairs of equal adjacent sides axis of symmetry and one reflex angle?
The shape described is a kite, which is a quadrilateral with two pairs of equal adjacent sides and one reflex angle. A kite has an axis of symmetry along the line connecting the midpoints of the non-congruent sides. The reflex angle in a kite is typically greater than 180 degrees, creating a distinct shape that is not a regular quadrilateral.
Does a kite have four equal angles?
Generally, the traditional kite has a long stick and a short cross stick which prevents it from having 4 equal angle. The left and right angle are usually equal, but often different from either the top or bottom angle.
How many lines of symmetry has an equilaterial triangle?
There are three lines, three angles, and three sides or a triangle. Each angle of the equilateral triangle is exactly 60 degrees, because each angle is equal.
