22-23 Math 8 Q2 Benchmark Review edited

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape. It is defined by a center point and a scale factor.

Front

What does a scale factor of 3 mean in dilation?

Back

A scale factor of 3 means that every point of the figure is moved away from the center by a distance that is 3 times its original distance.

Front

What is the result of dilating the point B(4, 4) by a scale factor of 3?

Back

The new coordinates will be (12, 12).

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is the slope of the line represented by the equation y=2x+4?

Back

The slope is 2.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the types of transformations that preserve congruence?

Back

Reflections, translations, and rotations preserve congruence.

Front

What is a dilation that does not preserve congruence?

Back

A dilation changes the size of a figure, thus it does not preserve congruence.

Front

How do you find the new coordinates after a transformation?

Back

Apply the transformation rules to the original coordinates. For example, (x - 7, y - 9) means subtract 7 from x and 9 from y.

Front

What is the new coordinate of C(-4, 7) after the transformation (x – 7, y – 9)?

Back

The new coordinate C' will be (-11, -2).