These worksheets teach students to identify the length of lines on graphs and in circles.

#### What is the Distance Formula? Definition: The Distance Formula is the best way to find the length of the gap between two points. It is the derivative of the Pythagorean Theorem. That is: a2 + b2 = c2 | cc = hypotenuse | aa & bb a right triangle | We use this formula to calculate the right angle's hypotenuse (cc) length. Distance Formula as a part of Pythagorean Theorem - The distance (d) among two points: A = ( x1 , y1 ) and B = ( x2 , y2 ). Set above the values by using the following distance formula: d = √( x2 - x1 )2 + ( y2 - y1 )2. Example: Find the length of the gap between the two points ( -3, 2 ) and ( 3,5 ). Put all the values in the formula correctly. X1 = -3 and y1 = 2 and X2 = 3 and y2 = 5 d = √( x2 - x1 )2 + ( y2 - y1 )2 d = √ ( 3 - (-3)2 + ( 5 - 2 )2 d = √(6)2 + (3)2 d = √36 + 9 d = √45 d = √9 × √5 d = 3 √5

If you have two points and want to know the distance between those points, we can use this formula. It is actually a clever application of Pythagorean Theorem. The formula is the square root of the sum of the squared difference in x-axis values and the squared difference in y-axis values. The distance is equal to the hypotenuse of the right triangle formed between the two points. When it comes to trajectory calculation, this skill is paramount for many engineers and mathematicians. These worksheets explains how to find the distance (length) or slope of a segment. Your students will use these activity sheets to learn how to calculate the lengths of different lines as plotted on coordinate graphs, or within circles.

# Print Distance Formula Worksheets

## Lesson

This worksheet explains how to find the distance between two points. A sample problem is solved, and two practice questions are provided.

## First Worksheet

Students will find the distance or the slope. Ten questions are provided.

## Practice Worksheet

Students will find the distance or the slope, referring to the graph. Ten questions are provided.

## Formula Review and Practice

This worksheet review how to find the distance or the slope of a segment. Six practice questions are provided.

## Distance Quiz

Students will demonstrate their proficiency in finding the distance or slope of segments. Ten problems are provided.

## Skills Review and Check

Students will find the distance or the slope. Space is included for students to copy the correct answer when given.