What are the three main types of transformations that can be applied to 2D shapes on a coordinate grid?

The three main types of transformations are translations, reflections, and rotations.

Coordinates are expressed in the format (___, ___), where the first value represents the position on the horizontal axis.

(x, y), where x is the horizontal position (x-axis) and y is the vertical position (y-axis).

Fill in the blank: Transformations in computer games often involve manipulating shapes on a ___ grid.

Coordinate

Riddle: I am a process that moves shapes without changing their size or form; what am I?

A transformation.

What are the coordinates of the first quadrant in the Cartesian plane?

(+, +): Right and up

In the Cartesian coordinate system, the x-coordinate is written before the y-coordinate. True or False?

True

Fill in the blank: The coordinates ( , -) indicate a position that is located in the ___ quadrant.

Fourth

If a point A has coordinates (3, 5), what are the coordinates of point A after translating it 4 units left and 2 units down?

A'(-1, 3)

Riddle: I am a type of movement where a shape shifts without rotating or flipping. What am I?

Translation

What is the general rule for translating a point A(x, y) by a distance of 'a' units left and 'b' units down?

A' (x-a, y-b)

In which quadrant would you find the coordinates (-5, 3)?

Second quadrant

Fill in the blank: The coordinates (-, -) represent a location in the ___ quadrant.

Third

True or False: Coordinates can only be positive numbers.

False; coordinates can be both positive and negative.

What are the coordinates for a point located in the fourth quadrant?

(+, -): Right and down

In the context of translation on a coordinate grid, the equation for translating a point (x, y) is expressed as ___ where a is the horizontal shift and b is the vertical shift.

(x + a, y + b)

True or False: Translating a shape involves rotating or flipping it.

False. Translation involves moving a shape without rotation or flipping.

Fill in the blank: Each vertex of the original shape corresponds to a vertex on the translated shape, such as vertex A corresponds to ___, read as 'A dash'.

A'