A Congruent Transformation.
A triangle. The effect of turning will depend on whether the plane containing the triangle is rotated - that is, the triangle is rotated around an axis perpendicular to its plane. In that case, it will appear upside down. Alternatively, it can be rotated about an axis in the plane of the triangle. In this case it will appear flipped.
The modern answer is that if the shape only fits once onto the original when rotated 360o it has no rotational symmetry. A right triangle only fits once when rotated 360o so it has no rotational symmetry.
The minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself is 60 degrees bout its vertical axis.
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
180 degrees.
It's when a figure is rotated, reflected , translated etc but the corresponding angles and side lengths stay the same.
It still has the same weight. Even turned or reflected the weight/mass remains the same.
A triangle. The effect of turning will depend on whether the plane containing the triangle is rotated - that is, the triangle is rotated around an axis perpendicular to its plane. In that case, it will appear upside down. Alternatively, it can be rotated about an axis in the plane of the triangle. In this case it will appear flipped.
Twice as large
2*theta
It depends on the axis around which the triangle is rotated to generate the 3-d version. If rotated about the hypotenuse, you would get a circular wedge. If either of the other sides, you would get a cone.
The modern answer is that if the shape only fits once onto the original when rotated 360o it has no rotational symmetry. A right triangle only fits once when rotated 360o so it has no rotational symmetry.
The minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself is 60 degrees bout its vertical axis.
If you know how to rotate a triangle around the origin, treat the point as the origin.If you have Cartesian coordinates (that is x, y pairs) for the points of the triangle,subtract the coordinates of the centre of rotation from the coordinates of the triangle, do the rotation and then add them back on.Doing it geometrically:Draw line from centre of rotation to a point (for example a vertex)Measure the required angle from this line and draw in the rotated lineMeasure the distance from the centre of rotation to the original point and measure along the rotated line the required distance to get the rotated point.repeat for as many points as needed (eg the 3 vertices of the triangle) and join together the rotated points in the same was as the original points.[The construction lines drawn to the centre of rotation can be erased once the rotated point is found.]
If it says rotated it's true If it says reflected it is false
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
180 degrees.