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In a reflection along the x axis a given coordinate 2 -1 transforms itself into?
In a reflection along the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same. Therefore, the coordinate ( (2, -1) ) transforms into ( (2, 1) ).
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 happens to the coordinates when a point is reflected over the y-axis?
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
Can a point at (04) be reflected across the y-axis?
Yes, a point at (0, 4) can be reflected across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (0, 4) across the y-axis is still (0, 4), as the x-coordinate is already zero.
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 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.
Can a point at (04) be reflected across the y-axis?
Yes, a point at (0, 4) can be reflected across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (0, 4) across the y-axis is still (0, 4), as the x-coordinate is already zero.
How do you reflect over the x axis when a point is over the x axis already?
Reflecting a point over the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. If a point is already located over the x-axis, its y-coordinate is positive. When reflecting this point over the x-axis, the positive y-coordinate becomes negative, resulting in the point being located below the x-axis.
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).
Which point is the image of (-7 1) reflected across the y-axis?
To find the image of the point (-7, 1) reflected across the y-axis, you need to change the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, the x-coordinate of -7 becomes 7, resulting in the reflected point being (7, 1).
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
