Translations and Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry is a transformation that flips a figure over a line called the line of reflection.

Front

True or False: A reflection is a transformation that flips a figure over a line.

Back

True

Front

Coordinates of a point after a reflection over the y-axis? Options: (x, y), (y, -x), (x, -y), (-x, y)

Back

(-x, y)

Answer explanation

The reflection of a point over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, if the original point is (x, y), after reflection over the y-axis, it becomes (-x, y). This is why the correct answer is (-x, y).

Front

Coordinates of a point after reflection over the x-axis?

Back

(x, -y)

Answer explanation

The reflection of a point over the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same. Therefore, if the original point is (x, y), after reflection over the x-axis, the coordinates become (x, -y). This is why the correct answer is (x, -y).

Front

True or False: A reflection is a rigid transformation.

Back

True

Answer explanation

The statement in the question is true. A reflection is indeed a rigid transformation. In mathematics, a rigid transformation (also called an isometry) is a transformation of a space that preserves distances and angles. Reflections, rotations, and translations are all examples of rigid transformations.

Front

Congruent geometric figures have the:

Back

Same Size and Same Shape

Front

What does a translation do to a figure on the coordinate plane?

Back

Slides it

Front

Translation rule for: Slide 3 up and 2 right

Back

(x, y)-----> (x+2, y + 3)

Front

Sliding a figure is a ...

Back

Translation

Front

Reflect Point C over the y-axis: Options: (-3, 2), (3,2), (-2,3), (3,0)

Back

(-3, 2)