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What conjecture can you make about the location of a point when the sign of the x-coordinate is changed?
It will be at exactly the same distance from the y-axis, but on the other side of it.
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
What does it mean to reflect a point across the x or y axis?
Reflecting a point P, in the x axis is finding another point Q such that they both have the same x-coordinate and that the y-coordinate of Q is the additive inverse of the y-coordinate of P. Thus, is P is 4.5 above the x-axis, then Q is 4.5 below it and if P is below, then Q is above by the same distance.Reflection in the y-axis is similar except that now it is the y-coordinate that remains the same and the x-coordinate that changes. If P was to the left then Q is to the right (and conversely).
What do you use first in coordinates y or x?
You use the x-coordinate before the y- coordinate.
When a point lies on the y-axis what do you know about it's x-coordinate .?
The x-coordinate of any point on the y-axis is 0. The y-axis is a line perpendicular to the x-axis. Any point on a line perpendicular to the x-axis has the same x-coordinate. The y-axis is the line perpendicular to the x-axis through 0, and has the equation x = 0; similarly, the x-axis is the line perpendicular to the y-axis through 0 and has the equation y = 0.
What is the rule for finding the reflection of a point over the axis?
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
What conjecture can you make about the location of a point when the sign of the x-coordinate is changed?
It will be at exactly the same distance from the y-axis, but on the other side of it.
What is the reflection of (-1-5) across y axis?
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
How does a reflection across the y axis change the coordinates of a point?
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
Is the ordered pair 5 2 the same point as 2 5 in the xy-plane?
No. In an ordered pair for a point in the xy-plane the first number is the x-coordinate and the second is the y-coordinate. (2, 5) is the point with an x-coordinate of 2 and a y-coordinate of 5; (5, 2) is the point with an x-coordinate of 5 and a y-coordinate of 2. Only if the x- and y- coordinates are equal are the points the same point. However, the point (5, 2) is the reflection of the point (2, 5) in the line y = x.
What does it mean to reflect a point across the x or y axis?
Reflecting a point P, in the x axis is finding another point Q such that they both have the same x-coordinate and that the y-coordinate of Q is the additive inverse of the y-coordinate of P. Thus, is P is 4.5 above the x-axis, then Q is 4.5 below it and if P is below, then Q is above by the same distance.Reflection in the y-axis is similar except that now it is the y-coordinate that remains the same and the x-coordinate that changes. If P was to the left then Q is to the right (and conversely).
What is the x coordinate for all y-intercepts?
The x coordinate for all y intercepts is 0, just as the y coordinate for all x intercepts is 0.
What is the x-coordinate for a point on the y-axis?
x-coordinate on y axis is 0
What is the y-coordinate for a point on the x-axis?
x-coordinate on y axis is 0
How can you name a point on a graph?
Compare it's position to the origin. The x coordinate is the number of units to the right of the origin. (If it is to the left of the origin the x coordinate is negative.) The y coordinate is the number of units above the origin. (If it is below, the y coordinate is negative.) The point is denoted (x,y) with the x coordinate in place of the x and the y coordinate in place of the y.
How do you reflect over x axis when y is negative?
When reflecting a point over the x-axis, you are essentially changing the sign of the y-coordinate while keeping the x-coordinate the same. So, if the original point has coordinates (x, -y), reflecting it over the x-axis would result in the new coordinates being (x, y). This transformation is a fundamental concept in geometry and can be applied to various shapes and figures to create mirror images across the x-axis.
