Fractional Distance and Constructions Checklist

Front

What is the fractional distance formula?

Back

The fractional distance formula is used to find a point that divides a line segment into a specific ratio. It is given by the formula: P = A + k(B - A), where P is the point, A and B are the endpoints, and k is the fraction.

Front

How do you find a point that is 2/5 of the distance from point A to point B?

Back

To find a point Q that is 2/5 of the distance from A to B, use the formula: Q = A + (2/5)(B - A). Substitute the coordinates of A and B into the formula.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a line segment into two equal parts at a 90-degree angle.

Front

What is the significance of the point M on line segment AY?

Back

Point M represents a specific location on line segment AY that is determined by a fractional distance from point Y to point A.

Front

How do you determine the coordinates of point M given points A(3, 13) and Y(-2, 3)?

Back

To find M that is 2/5 of the distance from Y to A, use the formula: M = Y + (2/5)(A - Y). Calculate the coordinates accordingly.

Front

What is the definition of a perpendicular line?

Back

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

Front

What does it mean to construct a perpendicular bisector?

Back

Constructing a perpendicular bisector involves creating a line that is perpendicular to a given line segment and divides it into two equal parts.

Front

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

Back

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

Front

How can you verify if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the role of the midpoint in constructions?

Back

The midpoint is the point that divides a line segment into two equal parts and is often used in constructions like perpendicular bisectors.