Yes
If it's an *equilateral* triangle, a triangle. Check out quadrilaterals (squares, rectangles), then *equilateral* pentagons, hexagons, etc. Generally, an equilateral polygon needs only rotate (360/number of sides) degrees to coincide.
rotate it 90 degrees
For an equilateral triangle, there are three axes of symmetry. A plane figure is symmetrical about the line l if, whenever P is a point of the figure, so too is P', where P' is the mirror-image of P in the line l. The line is called a line of symmetry (or axis of symmetry), and the figure is said to be a symmetrical by the reflection in the line l. An equilateral triangle with reflection symmetry has two halves that are mirror images of each other. If the shape is folded over its line of symmetry, the two halves of the shape match exactly. So, we can say that the two halves of an equilateral triangle are matched exactly only when its shape is folded over the lines of symmetry that passes through their vertixes and the midpoint of its sides. Thus, an equilateral triangle has three lines of symmetry, and three angles of rotation. If you rotate any shape a full turn, it will look like it did before you rotated it. When you rotate a shape less than a full turn about its center point and it looks exactly as it did before you rotated it, it has rotation symmetry. In an equilateral triangle there are three places in the rotation where the triangle will look exactly the same as its starting position. If we turn the triangle one third of a full turn (60 degrees), the vertex 1 will be at position 3, vertex 2 will be at position 1, and vertex 3 will be at position 2, and the triangle will look like its starting position.
A triangle can be rotated through any angle of your choice!An equilateral triangle has rotational symmetry of order 3, which means that a rotation of 120 degrees (or multiples) will bring it back to the same orientation. All other triangles have rotational symmetry of order 1: that is, you have to rotate them a full circle (360 deg) before they look the same.
turn it from the middle
3
If it's an *equilateral* triangle, a triangle. Check out quadrilaterals (squares, rectangles), then *equilateral* pentagons, hexagons, etc. Generally, an equilateral polygon needs only rotate (360/number of sides) degrees to coincide.
An equilateral triangle; the sides are the same length and angle so its the same irrespective of how you tilt it.
rotate it 90 degrees
For an equilateral triangle, there are three axes of symmetry. A plane figure is symmetrical about the line l if, whenever P is a point of the figure, so too is P', where P' is the mirror-image of P in the line l. The line is called a line of symmetry (or axis of symmetry), and the figure is said to be a symmetrical by the reflection in the line l. An equilateral triangle with reflection symmetry has two halves that are mirror images of each other. If the shape is folded over its line of symmetry, the two halves of the shape match exactly. So, we can say that the two halves of an equilateral triangle are matched exactly only when its shape is folded over the lines of symmetry that passes through their vertixes and the midpoint of its sides. Thus, an equilateral triangle has three lines of symmetry, and three angles of rotation. If you rotate any shape a full turn, it will look like it did before you rotated it. When you rotate a shape less than a full turn about its center point and it looks exactly as it did before you rotated it, it has rotation symmetry. In an equilateral triangle there are three places in the rotation where the triangle will look exactly the same as its starting position. If we turn the triangle one third of a full turn (60 degrees), the vertex 1 will be at position 3, vertex 2 will be at position 1, and vertex 3 will be at position 2, and the triangle will look like its starting position.
Some facts about equilateral triangles:all 3 sides are of the same length (that's what equilateral means)all 3 angles are the same size - 60 degrees because the 180 degrees in the triangle are shared out equallythe shape has order 3 rotation symmetry (meaning there are 3 position into which you can rotate the shape to get the same view)the shape has 3 lines of symmetry
Trace the triangle on tracing paper, flip the tracing paper so the drawn triangle is touching the paper and then put your pencil on the point (with the tracing paper underneath) that you need to rotate from. Then rotate the paper 90 degrees and draw over the triangle you drew on the tracing paper to stamp it down.
translation: is a slide reflection : is a flip roation: you rotate the triganle around like 180 degrees
Rotate it through 360 degrees.
A triangle can be rotated through any angle of your choice!An equilateral triangle has rotational symmetry of order 3, which means that a rotation of 120 degrees (or multiples) will bring it back to the same orientation. All other triangles have rotational symmetry of order 1: that is, you have to rotate them a full circle (360 deg) before they look the same.
No, only their positions will change.
Rotating a triangle 90 degrees counterclockwise would involve taking an upright triangle and laying is toward the left on its back. Changing position through rotation can cause a better visualization for some problem solving.