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A horizontal translation shifts the coordinates of endpoints along the x-axis by a specific value. If a point ((x, y)) is translated horizontally by (h) units, its new coordinate becomes ((x + h, y)) if (h) is positive (to the right) or ((x - h, y)) if (h) is negative (to the left). This change affects only the x-coordinate, while the y-coordinate remains unchanged. Thus, the overall shape and orientation of the figure are preserved, only its position along the x-axis is altered.
What else can I help you with?
What is a line formed by a constant y coordinate?
If the y coordinate does not change, it is a horizontal line.
What methods could you use to calculate the x coordinate of the midpoint of a horizontal segment with endpoints at 0 0 and 20 0?
The midpoint is (10,0). The simplest way to calculate it is to divide the change in x by 2. You can see that the difference is 20-0 = 20, divided by 2 is 10.
How do you do translation math?
Translation refers to moving a shape from one location (on a coordinate grid) to another such that the size and orientation of the shape does not change.
What is a horizontal edge?
A horizontal edge refers to a straight line segment that runs parallel to the horizontal axis in a coordinate system, typically aligning with the x-axis. In geometry, it connects two points that have the same y-coordinate, indicating no vertical change. This concept is often used in the context of graphs, shapes, and 3D models to define the boundaries and structure of objects.
When two coordinate points are translated to the left how can the new ones be determined?
The first abscissa will decrease by the amount of leftward translation; the ordinate will not change.
What is a line formed by a constant y coordinate?
If the y coordinate does not change, it is a horizontal line.
What methods could you use to calculate the x coordinate of the midpoint of a horizontal segment with endpoints at 0 0 and 20 0?
The midpoint is (10,0). The simplest way to calculate it is to divide the change in x by 2. You can see that the difference is 20-0 = 20, divided by 2 is 10.
How do you do translation math?
Translation refers to moving a shape from one location (on a coordinate grid) to another such that the size and orientation of the shape does not change.
The horizontal change of a line?
The horizontal change is the change in x. If the line in horizontal then the horizontal change will just be its length.
When two coordinate points are translated to the left how can the new ones be determined?
The first abscissa will decrease by the amount of leftward translation; the ordinate will not change.
What is the shape of a line with an infinite slope in economics?
Slope is the change in y (vertical dimension) with the change in x (horizontal dimension). On a Cartesian coordinate system, the slope is equal to infinity for change in x = 0, or a vertical line.
How do you explain the relative motion between the equatorial coordinate system and the horizontal coordinate system as time passes for an observer upon the earth?
The equatorial coordinate system is usually called geocentric coordinates, which are declination and hour-angle, and the horizontal system is called altitude and azimuth. The two coordinate systems are tilted relative to one another by 23.4 degrees, the Earth's axial tilt, in the plane of the local meridian of the observer. As time passes, in geocentric coordinates the declination stays the same while the hour angle increases at 15 degrees per hour. In the horizontal system both coordinates change, with the altitude increasing from zero as an object rises, then reaches its maximum altitude when due south, and then it gradually sets in the west.
What is term for the ratio of vertical change over horizontal change?
the term for the ratio of vertical change over horizontal change is slope
What does translation of a congruent figure mean?
You recreate a figure that is equal in side lengths, angles, and area in a new place on the x-y plane. For example if point a is on coordinate(2,2) and you are to translate it 1unit to the right and 2units down, the coordinates of point A' would be (3, 0). Up and down change the y coordinate and left and right change the y coordinate. Once you've translated all the points, connect the dots.
How do you write a coordinate?
(x, y)Open parenthesis, x coordinate [horizontal/latitude], comma, y coordinate [vertical/longitude], close parenthesis.For example, (2, 3) would be two spaces right and three spaces up from the origin. If you change the direction (again, from the origin), use negatives. (-2, -3) is two spaces left and three spaces down.
Rise is the horizontal change between any two points on a line?
No, rise is the vertical change. Run is the horizontal change.
How do you determine if a line is vertical or horizontal?
A line is vertical if it has an undefined slope, meaning it runs straight up and down along the y-axis, with an equation of the form (x = k) where (k) is a constant. Conversely, a line is horizontal if it has a slope of zero, running parallel to the x-axis, represented by an equation of the form (y = c) where (c) is a constant. In both cases, the line will not change in one coordinate while the other coordinate varies.
