24-25 Math 8 Q2 Benchmark Review edited

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. Common types include translation, rotation, reflection, and dilation.

Front

What is a reflection across the x-axis?

Back

A reflection across the x-axis flips a figure over the x-axis, changing the sign of the y-coordinates of each point.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does it mean for figures to be congruent?

Back

Congruent figures are shapes that are identical in shape and size, meaning they can be superimposed on each other.

Front

What is the rule for a dilation with a scale factor of 2?

Back

The rule is (x, y) --> (2x, 2y), meaning each coordinate is multiplied by 2.

Front

What is the result of reflecting the point (4, 1) across the x-axis?

Back

The result is (4, -1), as the y-coordinate changes sign.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a fixed point, while reflection flips it over a line.

Front

What is a translation in geometry?

Back

A translation moves a figure from one location to another without changing its shape or orientation.

Front

What does it mean to have infinitely many solutions in a system of equations?

Back

It means that there are countless pairs of values that satisfy both equations, often represented by the same line.

Front

What is the transformation rule for a translation 2 units down?

Back

The rule is (x, y) --> (x, y - 2), meaning the y-coordinate decreases by 2.