Translation
What is translation?
translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction.
What is Rotation?
rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
What is reflection?
Reflection is an image of a figure by a reflection is its mirror image in the axis or plane.
What is Dilation?
dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space.
What is angles?
angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
What is the rule for translation?
A translation is a type of transformation that moves each point in a figure the same distance in the same direction.
How do you describe rotation in math?
A rotation is a turn about given point. A rotation can be clockwise or counterclockwise. The pre-image is the initial object and the image is the rotated image.
What is reflection of a point?
Reflection is a phenomenon in which a figure (a point, line, etc.) is turned into its mirror image by flipping it over a line of reflection (generally a mirror). Distance of the image of a point from a line of reflection = Distance of the original point from that line of reflection.
What is the rule for dilation?
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
What are the basic angles?
How do you translate?
moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
What are the types of rotation?
90 degrees clockwise
90 degrees counter clockwise
180 degrees clockwise
180 degrees counter clockwise
What is the rule for reflection?
The rule for a reflection in the origin is (x,y)→(−y,−x) .
What is a scale factor of 3?
A scale factor of 3 means that the new shape is three times the size of the original.
What can you say about angles?
Angles are measured in degrees, which is a measure of circularity, or rotation. A full rotation, which would bring you back to face in the same direction, is 360°. A half-circle is therefore 180°, and a quarter-circle, or right angle, is 90°. Two or more angles on a straight line add up to 180°.
What is the formula for translation?
What can 90 degrees do?
(x,y) and (-y,x)
What are the 3 laws of reflection?
What is a 1/2 scale factor?
inches and the scale factor from the smaller to the larger is 1 : 2. Remember, this means that 1 inch on the smaller square is 2 inches on the larger square. If we multiply by the scale factor, 1/2, we will get a smaller number.
What are elements of an angle?
The two rays forming the angle are called 'sides' or 'arms' of the angle, and the common endpoint is called the 'vertex' of the angle.
How do you know if a translation is congruent?
the figure can be checked if its congruent by checking that each point has been moved the same distance or by measuring each side length and angle measurement.
What is the formula for rotation?
Rotation of 90° (Clockwise) (x, y)(y, -x)
Rotation of 90° (Counter Clockwise) (x, y)(-y, x) Rotation of 180° (Both Clockwise and Counterclockwise) (x, y)(-x, -y)
Rotation of 270° (Clockwise)(x, y)(-y, x)
What are the properties of a reflection?
Basic Properties of Reflections: (Reflection 1) A reflection maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle. (Reflection 2) A reflection preserves lengths of segments. (Reflection 3) A reflection preserves measures of angles.
How do you dilate a figure by 3?
Perform a Dilation of 3 on point A (2, 1) which you can see in the graph below. Multiply the coordinates of the original point (2, 1), called the image, by 3. Image's coordinates = (2 * 3, 1 * 3) to get the coordinates of the image (6, 3).
What is the rule for dilation?
a/sin A = b/sin B = c/sin C Here A, B, and C are the interior angles of a triangle and a, b, and c are their respective opposite sides.