Flashcard 10

Front

Describe the translation of Point A (3, -8) to A'(-4, -5). What is the transformation rule?

Back

(x-7, y+3) - This means to subtract 7 from the x-coordinate and add 3 to the y-coordinate.

Front

Write the equation that represents the following word problem: Marsha gets a job that pays $15 per hour, and she started the week with $20.

Back

y = 15x + 20 - Here, y represents total earnings, x represents hours worked.

Front

Given point P (-5,8), what is the image of point P reflected over y = x?

Back

(8, -5) - The coordinates are swapped and the sign of the y-coordinate is changed.

Front

Apply the following rule to the point (-5,6): (x,y) → (y,-x). What is the resulting point?

Back

(6, -5) - The x-coordinate becomes the original y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.

Front

Identify the rigid transformation shown in the picture: Translation, Reflection, or Rotation?

Back

Translation - A rigid transformation that slides a figure from one position to another without turning it.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Front

What is the formula for reflecting a point (x, y) over the x-axis?

Back

(x, -y) - The x-coordinate remains the same, while the y-coordinate changes sign.

Front

What is the formula for reflecting a point (x, y) over the y-axis?

Back

(-x, y) - The y-coordinate remains the same, while the x-coordinate changes sign.

Front

What is the definition of a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.