Introduction to Distance Formula in Coordinate Geometry

What is the total distance traveled if one goes from Town A to Town B via Town C?

• 7 kilometers

• 5 kilometers

• 4 kilometers

• 3 kilometers

Which theorem is used to find the direct distance between two points in a right triangle?

• Pythagorean Theorem

• Distance Formula

• Midpoint Theorem

• Area Formula

How do you calculate the horizontal distance between two points with coordinates (x1, y1) and (x2, y2)?

• x1 + x2

• x2 - x1

• y2 - y1

• x1 - x2

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

• Square root of (x2 - x1)^2 + (y2 - y1)^2

• Square root of (x1 - x2)^2 + (y1 - y2)^2

• x1 + x2 + y1 + y2

• x2 - x1 + y2 - y1

If the coordinates of point A are (3, 2) and point B are (7, 5), what is the distance between them?

• 3 units

• 6 units

• 4 units

• 5 units

What is the main difference between using the Pythagorean theorem and the distance formula?

• There is no difference

• Pythagorean theorem is for circles, distance formula is for triangles

• Pythagorean theorem uses absolute distances, distance formula uses coordinates

• Pythagorean theorem is for angles, distance formula is for lengths

Why does switching the positions of x1, x2 and y1, y2 in the distance formula not affect the result?

• Because addition is commutative

• Because the terms are squared

• Because multiplication is commutative

• Because subtraction is commutative