Pregunta
A square is plotted on a coordinate plane. Henry claims that any transformation on the square will preserve the length of its sides.
Which of the following transformations could be used to show that Henry’s claim is incorrect? Select all that apply.
translation of 5 units to the right
horizontal stretch by a factor of
dilation by a factor of 2 through the origin
rotation of
clockwise about the square’s center
a reflection over the
-axis
Which of the following transformations could be used to show that Henry’s claim is incorrect? Select all that apply.
translation of 5 units to the right
horizontal stretch by a factor of
dilation by a factor of 2 through the origin
rotation of
a reflection over the
Ask by Mccarthy Young. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The transformations that change the square’s side lengths are:
- Horizontal stretch by a factor of
- Dilation by a factor of 2 through the origin
Solución

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Como
Beyond the Answer
Henry’s claim can be challenged by certain transformations that change the dimensions of the square. The horizontal stretch by a factor of
would compress the square’s width, thus altering its side lengths and proving Henry’s claim incorrect. Similarly, a dilation by a factor of 2 through the origin would enlarge the square and also change the lengths of its sides, making it a valid example.
On the other hand, transformations like translation, rotation, or reflection do not affect the lengths of the sides of the square. They merely reposition or reorient the square without stretching, shrinking, or altering its dimensions in a way that affects the lengths.

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