Geo Refresher #10

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define translation in the context of geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

Explain the concept of coordinates in a Cartesian plane.

Back

Coordinates are a set of values that show an exact position on a Cartesian plane, represented as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the result of the transformation (x, y) -> (x + 2, y - 1)?

Back

This transformation shifts every point of a figure 2 units to the right and 1 unit down.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p'.

Front

Define the inverse of a conditional statement.

Back

The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'.

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'p if and only if q'.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.