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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.
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What is a line formed by a constant y coordinate?
If the y coordinate does not change, it is a horizontal line.
What is the horizontal change?
Horizontal change refers to the difference in the horizontal position of a point or object, often measured along the x-axis in a coordinate system. It can be calculated by subtracting the initial x-coordinate from the final x-coordinate. This concept is commonly used in mathematics, physics, and engineering to analyze motion, graph functions, or assess distances in a two-dimensional space.
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.
What would b equal on a horizontal line?
On a horizontal line, the value of ( b ) would be constant, representing the y-coordinate of all points on that line. Since the line is horizontal, the value of ( b ) does not change regardless of the x-coordinate. Thus, for any point on a horizontal line, ( y ) equals ( b ).
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 line formed by a constant y coordinate?
If the y coordinate does not change, it is a horizontal line.
What is the horizontal change?
Horizontal change refers to the difference in the horizontal position of a point or object, often measured along the x-axis in a coordinate system. It can be calculated by subtracting the initial x-coordinate from the final x-coordinate. This concept is commonly used in mathematics, physics, and engineering to analyze motion, graph functions, or assess distances in a two-dimensional space.
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.
What would b equal on a horizontal line?
On a horizontal line, the value of ( b ) would be constant, representing the y-coordinate of all points on that line. Since the line is horizontal, the value of ( b ) does not change regardless of the x-coordinate. Thus, for any point on a horizontal line, ( y ) equals ( b ).
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.
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.
What does horizontal segment mean?
A horizontal segment refers to a line segment that is oriented parallel to the x-axis in a Cartesian coordinate system. In practical terms, it connects two points that have the same y-coordinate, indicating no vertical change. This concept is often used in mathematics, geometry, and graphical representations to illustrate relationships or trends.
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.
What kind of slope is it if the 0 is the numerator?
If the numerator is 0 in the context of a slope, it indicates a horizontal line. This means that there is no change in the y-coordinate as the x-coordinate changes, resulting in a slope of 0. In graphical terms, the line runs parallel to the x-axis.
How is the orientation of the triangle affected by the translation Properties of translation?
The orientation of a triangle is not affected by translation. When a triangle is translated, its position changes in the coordinate plane, but its shape, size, and angles remain the same. The triangle retains its original orientation, meaning that the order of its vertices and the direction it faces do not change. Thus, translation preserves both the properties and the orientation of the triangle.
