3-1 Rigid Motions: Reflections, Translations, and Rotations

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

Define translation in the context of rigid motions.

Back

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

Front

What does a 90-degree rotation counterclockwise mean?

Back

A 90-degree rotation counterclockwise means turning a figure 90 degrees around a fixed point in the opposite direction of a clock's hands.

Front

How do you translate a point (x, y) 5 units left and 1 unit up?

Back

The new coordinates will be (x-5, y+1).

Front

What is the result of translating point (2, 3) left 2 units and up 4 units?

Back

The new coordinates will be (0, 7).

Front

Describe the transformation (x, y) -> (x-2, y+7).

Back

This transformation translates the point 2 units to the left and 7 units up.

Front

What is the rule for translating a point 3 units to the right and 2 units down?

Back

The rule is (x, y) -> (x+3, y-2).

Front

If point A is at (1, 2), where will it be after a translation of 4 units right and 3 units down?

Back

Point A will be at (5, -1).

Front

What is the effect of a translation of (x, y) by T_<2,-1>?

Back

The point will move 2 units to the right and 1 unit down.

Front

How do you find the new coordinates of point X(1, 1) after translating it 3 units left and 9 units down?

Back

The new coordinates will be (-2, -8).