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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 line
- Measure 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.]
What else can I help you with?
How do you rotate a shape 315 degrees clockwise about the origin?
The point with coordinates (p, q) will be rotated to the point with coordinates [(p - q)/sqrt(2), (p + q)/sqrt(2)].
Which point of concurrency in a triangle is sometimes called the center of gravity of the triangle?
The point where the lines which connect one vertex of the triangle and the middle of the opposite side intersect.
What is the point of concurrency of the perpendicular bisectors of a triangle called?
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
The point of concurrency of the angle bisectors of a triangle is called?
incenter of a triangle
How do you rotate a triangle around a point?
turn it from the middle
When do you rotate triangle clockwise at 90 degree how does it look like?
it will turn on a pivot point of the triangle.
How do you rotate a triangle 90 degrees about a point?
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.
How do you rotate 180 degrees counter clockwise about origin?
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
To turn around a center point?
To turn around a centre point is to rotate.
What does it mean to rotate about the origin?
To rotate about the origin means to turn a point or shape around the origin (0, 0) of a coordinate system by a specified angle. This transformation alters the coordinates of the point or shape while keeping the origin fixed. The new position is determined using trigonometric functions, specifically sine and cosine, based on the angle of rotation. This concept is commonly used in geometry and computer graphics to manipulate objects in a plane.
How do you reflect a figure around the origin?
The best way is this:Draw a line from the point closest to the origin to the actual origin. Rotate the line however many degrees you are told, whichever way you are told. After you have the point closest to the origin rotated, you can either rotate the other points the same way or just draw them in based on where the other point lies.Another way, sort of the cheater way, is to just take a piece of tracing paper and trace the figure onto it. Hold it down by pressing your pencil on the tracing paper where the origin is, and rotating it however many degrees, whichever way you are told.This is for ROTATE. To reflect just use the opposite signs on the coordinates.
What is the name of the point at which all of the triangle's perpendicular bisectors intersect?
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
How do you rotate a figure 90 degrees counter clockwise then reflect over y axis?
I dont really know if this is right but i think to do this problem you have to take a point then rotate the paper counter clockwise around the origin then you have a new point which is called a prime. Then reflect it over the y axis on the graph.
What is it called when you rotate a figure around a point?
A rotation
How many times can you rotate a triangle?
A triangle can be rotated around its centroid, vertices, or any point in a plane an infinite number of times. Each rotation will result in the triangle appearing in a different orientation, but the triangle itself remains unchanged. However, if you're referring to distinct orientations, a triangle has three unique orientations corresponding to its three vertices.
If triangle DEF is rotated 180 degrees clockwise around the origin what will be the coordinates of point E in the image D (-13) E (31) and F (2-2)?
add the
