Common questions

How do you find the reflection over the y-axis?

How do you find the reflection over the y-axis?

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

What is the coordinate of the point which is the reflection of 3/5 in y-axis then write coordinate of the point which is the reflection of this point in x-axis?

Answer: The reflection of this point about the x-axis will lie In the third quadrant since the point itself lies in the second quadrant and so just the sign of the y-coordinate will invert and hence the coordinates of the reflection of point (-3,5) will be (-3,-5).

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How do you find the coordinates of a mirror image?

In image of a point P(x, y) with respect to x axis, the change in only sign of ordinate of point so the image is Q(x, –y). Q1 (–3, –1) & Q2 (5, 2) in III & I quadrant respectively. With respect to y axis: In image of a point P(x, y) the change in sign of its abscissa so the image is Q(–x, y).

What is the equation of X axis?

The equation of the x-axis is x=0.

What are the coordinates of the reflection of the point 3/4 across y-axis?

(ii) Retain the ordinate i.e., y-coordinate. Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes. Examples: (i) The image of the point (3, 4) in the y-axis is the point (-3, 4).

How do I find the mirror image of coordinates in Class 9?

Mirror image with respect to x-axis: In this case, image of P (x,y) become P (x, -y). Thus, to find the image of any point along the x-axis, we keep the x-coordinate same and sign of y-coordinate gets changed. Any point on the mirror remains the same.

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What is the rule for a reflection over Y X?

Reflection Across Y=X When reflecting over the line y=x, we switch our x and y. These reflected points represent the inverse function.

What is the reflection of the point 4 5 in the 3rd quadrant?

Answer: mirror image or reflection with respect to x- axis will be 4,-5.

What is the x-coordinate of the reflected image?

We see that the y-coordinate of the preimage stays the same, but the x-coordinate of the image is the opposite of the x-coordinate of the preimage. In general, when reflecting a point across the y-axis, if the coordinate of the preimage is (x , y), then the coordinate of the reflected image is (-x , y)

What is the rule for a reflection across the x axis?

What is the rule for a reflection across the X axis? The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

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What is the reflection of the point across the Y-axis?

Therefore, the reflection of the point (x, y) across Y-axis is (-x, y). When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their place. Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated.

What is the reflection of a point on the coordinate plane?

Reflections in the Coordinate Plane. The reflection transformation may be in reference to X and Y-axis. Reflection over X-axis. When a point is reflected across the X-axis, the x-coordinates remain the same. But the Y-coordinates are transformed into its opposite signs. Therefore, the reflection of the point (x, y) across X-axis is (x, -y).