Transformations (w/ Symmetry) Flashcard

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What are the coordinates of the image when point (-5,2) is reflected over the y-axis?

Back

(5,2)

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing its dimensions.

Front

If a figure is dilated by a scale factor of 3, what happens to the coordinates of point A(3,3)?

Back

The new coordinates will be A'(9,9).

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

A 90° clockwise rotation moves points in a circular direction to the right.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the shape and size of a figure, such as translation, rotation, or reflection.

Front

Was a rigid motion used to map triangle A'B'C' to triangle ABC if it was translated?

Back

Yes, it's a translation.

Front

What is line symmetry?

Back

Line symmetry occurs when a figure can be divided into two identical halves that are mirror images of each other.

Front

What is rotational symmetry?

Back

Rotational symmetry exists when a figure can be rotated around a center point and still look the same at certain angles.

Front

How can you determine if a figure has both line and rotational symmetry?

Back

Check if the figure can be folded along a line to create two identical halves (line symmetry) and if it looks the same after a rotation of less than 360° (rotational symmetry).