Transformation Review

Front

What is the algebraic representation of translating a figure 3 units left and 5 units down?

Back

(x-3, y-5)

Front

What is the definition of congruence in the context of translations?

Back

Translations are always congruent, meaning the shape and size of the figure remain unchanged.

Front

How do you translate a shape 3 units left and 3 units down?

Back

Subtract 3 from the x-coordinate and 3 from the y-coordinate.

Front

What is the algebraic representation of translating triangle A'B'C' to triangle ABC if the translation is (x+2, y-9)?

Back

The triangle is moved 2 units to the right and 9 units down.

Front

What types of symmetry does the letter 'H' exhibit?

Back

Both reflectional and rotational symmetry.

Front

What is the general formula for translating a point (x, y) by (a, b)?

Back

(x+a, y+b)

Front

What does it mean for a translation to be congruent?

Back

It means that the original figure and the translated figure are identical in shape and size.

Front

If a shape is translated 4 units up, what is the change in its coordinates?

Back

The y-coordinate increases by 4.

Front

What is the effect of translating a shape 0 units left/right and 5 units down?

Back

The shape moves vertically down by 5 units without any horizontal movement.

Front

How can you determine the translation needed to move point (2, 3) to point (5, 1)?

Back

Translate by (3, -2) which means 3 units right and 2 units down.