0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Ross
CoachAdd your answer:
Earn +20 pts
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.
What triangle has to lines of symmetry?
If you mean which triangle has at least two lines of symmetry, I can answer your question: an equilateral triangle has three lines of symmetry-- one passing through the center of each side and through the opposite point, perpendicular to the side.
Does a triangle have more than 1 line of symmetry?
Depending on the triangle, there can be 0, 1, or three lines of symmetry. A scalene triangle (all sides of different lengths) will have no lines of symmetry, an isosceles triangle (exactly two sides of the same length) will have one line of symmetry, and an equilateral triangle (all three sides of the same length) will have three lines of symmetry.
How many lines of symmetry in tringle?
that depends on the triangle. if the triangle has no two sides that are the same length, then it is called a scalene triangle and it has no lines of symmetry. if the triangle has two sides that are the same length, the triangle has one line of symmetry, starting at the angle where the two same length sides meet, and ending at the center of the opposite side. if all three sides are the same length, the triangle has three lines of symmetry, between any angle an the center of the opposite side.
What type of triangle has no lines of symmetry?
A scalene triangle. Though it's usually defined as having three sides of different lengths, this is an equivalent definition: all equilateral triangles have three lines of symmetry, and all isosceles triangles have one (no triangle has two lines of symmetry).
