Geometry Semester Review Fall 2024

Front

What is the definition of a perpendicular line?

Back

A line that intersects another line at a right angle (90 degrees).

Front

What is the slope of a line that is perpendicular to a line with a slope of 4?

Back

-1/4

Front

What is dilation in geometry?

Back

A transformation that changes the size of a shape but not its shape.

Front

What is the effect of dilation with a scale factor greater than 1?

Back

The shape becomes larger.

Front

What is reduction in geometry?

Back

Decreasing the size of a shape while keeping its proportions the same.

Front

What is the triangle inequality theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If a triangle has sides of lengths 5 and 12, what is the range of possible lengths for the third side?

Back

The third side must be greater than 7 and less than 17.

Front

What is the Pythagorean theorem?

Back

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.

Front

What is the distance formula?

Back

d = √((x2 - x1)² + (y2 - y1)²) where (x1, y1) and (x2, y2) are the coordinates of two points.

Front

What is the definition of a polygon?

Back

A closed figure formed by a finite number of straight line segments.