Which Shows Only A Vertical Translation?
In geometry, a vertical translation is a transformation that moves a figure up or down along the y-axis. A vertical translation does not change the shape or size of the figure.
To identify a vertical translation, look for a change in the y-coordinates of the points in the figure. If the y-coordinates of all the points in the figure change by the same amount, then the figure has undergone a vertical translation.
Here are some examples of vertical translations:
- A triangle is shifted up by 2 units.
- A square is shifted down by 3 units.
- A circle is shifted left by 4 units.
Questions Related to Which Shows Only A Vertical Translation
Here are some questions related to which shows only a vertical translation:
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Which of the following figures shows only a vertical translation?
- A triangle is shifted up by 2 units.
- A square is shifted down by 3 units.
- A circle is shifted left by 4 units.
- A rectangle is shifted to the right by 5 units.
The answer is A triangle is shifted up by 2 units. This is because the only change in the figure is the y-coordinates of the points. The x-coordinates of the points remain the same.
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What is the vertical translation of the triangle shown below?
[Image of a triangle with vertices (0, 0), (1, 0), and (0, 1)]
The vertical translation of the triangle is 2 units up. This can be found by subtracting the y-coordinate of a point in the pre-image from the y-coordinate of the corresponding point in the image. For example, the y-coordinate of the vertex (0, 0) in the pre-image is 0. The y-coordinate of the corresponding vertex (0, 2) in the image is 2. The difference between these two values is 2, which is the vertical translation.
- How can you determine if a transformation is a vertical translation?
To determine if a transformation is a vertical translation, look for a change in the y-coordinates of the points in the figure. If the y-coordinates of all the points in the figure change by the same amount, then the figure has undergone a vertical translation.
