24-25 Math 8 Q2 Benchmark Review

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in (x+a, y+b).

Front

What does it mean if a system of equations has 'No Solution'?

Back

A system of equations has 'No Solution' if the lines represented by the equations are parallel and never intersect.

Front

What is the sum of angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

How do you reflect a point (x, y) across the y-axis?

Back

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

Front

What is the formula for solving a linear equation?

Back

The general form of a linear equation is ax + b = c, where a, b, and c are constants.

Front

What does it mean for an equation to have an identity solution?

Back

An equation has an identity solution if it is true for all values of the variable, meaning it simplifies to a true statement.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is determined by measuring the angle through which a point on the figure has been turned around the center of rotation.