Geometry EOC practice questions

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?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates.

Front

What does it mean to rotate a shape 90º clockwise around the origin?

Back

Rotating a shape 90º clockwise around the origin means turning the shape 90 degrees in the clockwise direction around the origin point (0,0).

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never intersect and are always the same distance apart.

Front

What is the significance of coplanarity in parallel lines?

Back

For lines to be parallel, they must be coplanar, meaning they lie in the same plane.

Front

How do you calculate the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What is the formula to calculate distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.