They are (-a, b).
The answer is b.
B is (-5, 9).
The 'x' coordinate of B is the average of the 'x' coordinates of A and C. The 'y' coordinate of B is the average of the 'y' coordinates of A and C.
They are (a, b-4).
To reflect a figure across the line ( y = x ), you swap the coordinates of each point in the figure. For a point ((a, b)), its reflection would be ((b, a)). This process is applied to every point in the figure, resulting in the entire figure being mirrored across the line ( y = x ).
The answer is b.
To reflect a point over the line ( y = x ), you swap the coordinates of the point. For example, if the original point is ( (a, b) ), its reflection over ( y = x ) will be ( (b, a) ). This process applies to any shape or set of points by reflecting each point individually.
To reflect a point across the line ( y = x ), swap its x and y coordinates. For example, if the original point is ( (a, b) ), the reflected point will be ( (b, a) ). This transformation can also be applied to entire shapes by swapping the coordinates of each vertex.
S' = (3, -2) B' = (0, -1) C' = (3, -4).
To find the coordinates of an image reflected over the line ( y = x ), you simply swap the x-coordinate and y-coordinate of the original point. For a point ( (a, b) ), the reflected image will have the coordinates ( (b, a) ). This rule applies to any point in the Cartesian coordinate system.
B is (-5, 9).
The movement of a reflection is defined by the linear relationship between the original point and its image across a line of reflection. If the line of reflection is represented by the equation (y = mx + b), the coordinates of the reflected point can be calculated using the perpendicular bisector method, ensuring that the original point and its image are equidistant from the line. This relationship maintains equal angles of incidence and reflection, creating symmetry across the line.
To reflect a point across the line ( y = x ), you swap the coordinates of the point. For example, if you have a point ( (a, b) ), its reflection across the line ( y = x ) will be ( (b, a) ). This transformation applies to all points in the Cartesian plane.
To determine the coordinates of point D in trapezium ABCD, we need the coordinates of points A, B, and C, as well as the requirement that one pair of opposite sides (either AB and CD or AD and BC) are parallel. If AB is parallel to CD, then the y-coordinates of points A and B must equal the y-coordinates of points C and D, respectively. Alternatively, if AD is parallel to BC, then the x-coordinates of A and D must equal the x-coordinates of B and C. Please provide the specific coordinates of points A, B, and C for a precise answer.
The midpoint B on line segment AC is the point that divides the segment into two equal lengths. To find the coordinates of B, you can use the midpoint formula: B = ((x₁ + x₂)/2, (y₁ + y₂)/2), where (x₁, y₁) are the coordinates of point A and (x₂, y₂) are the coordinates of point C. This point B represents the average of the coordinates of points A and C.
To write a rule for transformation, first identify the type of transformation you want to apply, such as translation, rotation, reflection, or dilation. Then, define the mathematical operation that corresponds to your transformation—for example, for a translation by a vector ( (a, b) ), the rule would be ( (x, y) \rightarrow (x + a, y + b) ). Finally, clearly state the initial coordinates and the resulting coordinates to complete the transformation rule.
No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.