GEO_REVIEW FINAL EXAM

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is used to determine how much a figure is enlarged or reduced.

Front

How do you calculate the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (Base1 + Base2) * Height.

Front

What does the transformation (x,y) → (x + 2, y – 3) represent?

Back

This transformation represents a translation of the point 2 units to the right and 3 units down.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It is defined by a scale factor and a center of dilation.

Front

What does a dilation of 2.5 about the origin mean?

Back

It means that every point of the figure is moved away from the origin by a factor of 2.5, enlarging the figure.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Front

What does the transformation (x,y) → (x -2, y +3) represent?

Back

This transformation represents a translation of the point 2 units to the left and 3 units up.

Front

What is the reflection over the line y = x?

Back

Reflection over the line y = x swaps the x and y coordinates of each point in the figure.

Front

What is the reflection over the y-axis?

Back

Reflection over the y-axis changes the sign of the x-coordinate of each point in the figure.

Front

How do you identify the coordinates of a point after a transformation?

Back

To identify the new coordinates, apply the transformation rules to the original coordinates.