Question
if a right triangle is reflected over the x-axis what happens to the orientation of its hypotenuse
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GPT-4o mini
When a right triangle is reflected over the x-axis, the orientation of its hypotenuse will change. Specifically, the sides of the triangle, including the hypotenuse, will be mirrored across the x-axis.
If you visualize a right triangle with its vertices above the x-axis, upon reflection, those vertices will move to corresponding points below the x-axis. This means that the hypotenuse will also flip, and its slope will be inverted.
For instance, if the hypotenuse originally slants upwards as you move from left to right, after the reflection, it will slant downwards in the same left-to-right direction. Thus, the general orientation will be reversed as a result of the reflection.
If you visualize a right triangle with its vertices above the x-axis, upon reflection, those vertices will move to corresponding points below the x-axis. This means that the hypotenuse will also flip, and its slope will be inverted.
For instance, if the hypotenuse originally slants upwards as you move from left to right, after the reflection, it will slant downwards in the same left-to-right direction. Thus, the general orientation will be reversed as a result of the reflection.