Flashcard 10

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in geometry.

Back

A rigid transformation that moves every point of a figure the same distance in the same direction.

Front

What is reflection in geometry?

Back

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

Front

Define rotation in geometry.

Back

A rigid transformation that turns a figure around a fixed point at a certain angle.

Front

What is the equation for a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you represent spending money over time in an equation?

Back

Use the equation y = -20x + 100, where y is the amount left after x days.

Front

What does the point (-5, 6) become when applying the rule (x,y) → (y,-x)?

Back

The point becomes (6, -5).

Front

How do you translate a point in the coordinate plane?

Back

Add or subtract values from the x and y coordinates of the point.

Front

What is the result of translating the point (1, 2) three units left and two units down?

Back

The new point is (-2, 0).

Front

What is the significance of the y-intercept in a linear equation?

Back

It represents the value of y when x is 0, indicating where the line crosses the y-axis.