Curated OER
The Distance and Midpoint Formula
In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula....
Willow Tree
Midpoint and Distance Formulas
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula.
Curated OER
Points, Regions, Distance and Midpoints
In this college level coordinate geometry worksheet, students identify and graph points on a coordinate plane, find the missing side of a right triangle, determine the distance between two points, and find the midpoint of a line...
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a instructional activity on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the...
Curated OER
Regents Exam Questions: Distance
For this distance worksheet, students solve 12 multiple choice, short answer, and graphing problems. Students use the distance formula to find the distance between two points.
PBS
Working with Coordinate Planes: Assessments
It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...
Curated OER
The Distance Formula
In this distance formula worksheet, students find the distance between 12 different sets of ordered pairs. Students use the distance formula given two ordered pairs to find the distance of a line segment.
Curated OER
The Distance Formula
In this distance formula worksheet, learners solve and complete 28 various types of problems. First, they find the distance between each pair of points provided. Then, students solve and graph the points.
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from instructional activity number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Curated OER
Distances Between Stars
In this distance between stars worksheet, learners use the 3-dimensional distance formula and Cartesian coordinates to find the distances of 10 given stars from the sun. They also determine which constellation each star belongs to and...
Corbett Maths
Shortest Distance between Line and Point
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
PBS
Working with Coordinate Planes: Activities and Supplemental Materials
Seven activities make up a collection of supplemental materials to reinforce graphing on a coordinate plane. Worksheet objectives include plotting coordinates within single and four quadrants, measuring straight and...
Curated OER
Distance on a coordinate plane
In this geometry worksheet, 10th graders solve problems in which they find the distance between two points on a coordinate plane. The two page worksheet contains a combination of eleven multiple choice and free response...
Math eBook
Distance Between Two Points
In this distance worksheet, learners calculate the distance between two points on a coordinate plane. This four-page worksheet contains 20 problems.
Curated OER
Measuring Segments
Middle and high schoolers solve 14 problems that include finding the distance between two points in different situations. First, they refer to a number line to find the measure of each point on the line. Then, pupils refer to the...
Curated OER
Distance
In this secondary mathematics worksheet, pupils use the Pythagorean Theorem to express the distance two planes flying at right angles are apart after t hours of flying. The one-page worksheet contains one problem with the solution.
Curated OER
Distance and Midpoint Formulas
For this distance and midpoint formulas worksheet, 9th graders solve and complete 10 different problems. First, they find the distance between given coordinate and write their answer in simplest radical form. Then, students find the...
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...