Pythagorean theorem distance between two points worksheet pdf

Ascend the skill-building ladder with our free printable distance between two points worksheets that provide adequate practice in applying the formula to calculate how far any two places are from each other using their coordinates. For instance, let's assume the coordinates of Beach Street are (8, -1) and the coordinates of Canal Street are (3, -9). To determine the distance between these two places we need to plug the coordinates into the formula, d = √ ((x2 - x1)2 + (y2 - y1)2). Students first find the change in the x coordinates, which is (3-8 = -5), and then the change in the y coordinates, which is (-9 -(-1) = -8). Squaring them, they get 25 and 64. Then they are expected to add the two and find their square root and round it to two decimals, which is approximately 9.43 units. Calculating the distance between two points becomes easy with the formula, but remember it is practice that will help you get into the groove. Don't forget to cross-check your answers with our answer keys.

These pdf worksheets make a great practice resource for grade 8 and high school students.

CCSS: L.1.1.H

Our printable distance formula worksheets are a must-have resource to equip grade 8 and high school students with the essential practice tools to find the distance between two points. Gain an edge over your peers by memorizing the distance formula d = √((x2 - x1)2 + (y2 - y1)2). The pdfs provide ample opportunities to apply the formula not just to find the distance between two points on coordinate planes, but also to identify the types of triangles and quadrilaterals, to find the perimeter of shapes, to mention just a few. Try our free distance formula worksheet and come back for more!

Finding the Side Length of Shapes

Is it the radius of a circle or the side length of a rectangle that you need to find? Assign the coordinates of the endpoints in the distance formula, and determine the length in a jiffy!

Length of a Line Segment

Upskill with our printable worksheets featuring line segments drawn on coordinate planes for 8th grade students to determine the coordinates, use the formula, and calculate the distance.

(13 Worksheets)

Finding a Missing Coordinate

Instruct high school students to rearrange the distance formula, make the missing coordinate the subject, and equate it with the given distance to solve these distance formula worksheet pdfs.

Distance Formula and Pythagorean Theorem

The distance formula is a variant of the Pythagorean theorem. Sketch a right triangle with the segment as the hypotenuse. Find the length of the legs, and use the formula to find the distance.

Identifying the Types of Triangles

Decide whether the triangle formed using the given vertices is a scalene, equilateral, isosceles, or right triangle. Substitute the points in the distance formula, and find the side length to prove.

Identifying the Types of Quadrilaterals

Knowing the properties of quadrilaterals is a prerequisite. Use the formula to find the side lengths and prove if the coordinates are vertices of a square, rectangle, parallelogram, or rhombus.

Perimeter on a Coordinate Plane

Graph the coordinates of the endpoints on the x-y plane, join them to create a shape, substitute the coordinates of the side lengths in the formula, add up the lengths to find the perimeter.

Midpoint and Distance Formula

With these worksheets, you are in for a blend of finding the midpoints and the distance. Students are expected to find the point at equidistant and use its coordinates to find the distance.

Applications in Geometry

Whether it is the distance between two points of a diagonal, chord or tangent, our distance formula worksheet pdfs accentuate the conceptual knowledge of high school students.