FLASHCARD 3-6 Reflections and Translations

Front

What is a translation in geometry?

Back

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

Front

How do you determine the new coordinates of a point after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates: (x', y') = (x + a, y + b), where (a, b) are the translation values.

Front

If point M(7,4) is translated to M’(8,3), what is the translation rule?

Back

The translation rule is (x + 1, y - 1).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign while the x-coordinate remains the same. For point P(x, y), the image after reflection is P'(x, -y).

Front

What are congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What are similar figures?

Back

Similar figures have the same shape but not necessarily the same size; their corresponding angles are equal and the lengths of corresponding sides are proportional.

Front

If a triangle is translated 4 units left and 3 units up, how do you find the new coordinates of a vertex?

Back

Subtract 4 from the x-coordinate and add 3 to the y-coordinate of the vertex.

Front

What is the effect of translating a point (2, 3) by (x + 2, y - 6)?

Back

The new coordinates will be (2 + 2, 3 - 6) = (4, -3).

Front

How do you identify if two figures are neither congruent nor similar?

Back

If the figures do not have the same shape or size and their corresponding angles and sides are not proportional, they are neither congruent nor similar.

Front

What is the image of point P(2, 3) after reflection in the x-axis?

Back

The image is P'(2, -3).