Distance Formula Teacher Resources

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If you know two values and are looking for a third, you can set up an equation and solve to find your answer. In this problem you know distance and time, and you are looking for rate of speed. Use the distance formula to set up your equation and solve this word problem.
Your geometry learners will thoroughly explore the Side-Splitting Theorem and how a line, parallel to one of the sides of a triangle, splits the other two sides proportionally. They then collaborate to complete three exploratory tasks involving geometric construction, Geometers Sketch Pad, and distance formula on a graph in the coordinate plane, to write a conjecture and test it. Finally the learners do a formal proof of the Side-Splitting Theorem and solve triangles with their new knowledge.
Your geometry learners will find the point that partitions a directed segment on a coordinate grid into a given ratio using geometric construction tools, the proportional nature of similar triangles, and the distance formula. In their collaborative teams they will write and justify conjectures based on their explorations involving similar triangles. Finally, your learners find the ratio of the two parts of a segment that is created by a given partitioning point.
In this geometric figures review worksheet, 10th graders solve and complete 100 various types of problems reviewing various sections of geometry. First, they determine the perimeter of a triangle and name its collinear points. Then, students identify and name various types of polygons with corresponding sides. They also determine the area of various quadrilaterals illustrated.
In this geometric figures review worksheet, 10th graders solve and complete 100 various types of problems that includes a complete review of all geometry. First, they name a theorem or postulate that justifies the congruence of two figures. Then, students determine the area of various quadrilaterals illustrated. They also find the value of x in various types of triangles.
Starting with a point (focus) and a line below the point (directrix), in this video, Sal tries to find the set of all points (locus) equidistant to the point and the line. He shows, using the distance formula, that indeed, we have an equation of a parabola.
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a fantastic geometry resource that you can use throughout the school year.
  • Display cards and change them out as you progress through different topics
  • Use the cards as review throughout the year to remind students of past learning
  • Laminate the cards and allow students to sort them into topics they definitely understand, somewhat understand, and don't yet understand
Learn how to use an algebraic formula to find the distance between two given points on a coordinate plane.
If you know two values and are looking for a third, you can set up an equation and solve to find your answer. In this problem you know distance and time, and you are looking for rate of speed. Use the distance formula to set up your equation and solve this word problem.
Middle and high schoolers solve and complete 29 various types of problems. First, they match each name with its correct formula. Then, learners find the length of the missing side and the distance between the two points given. In addition, they classify the triangles with the given side lengths as acute, right, or obtuse.
In this college level coordinate geometry learning exercise, 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 segment.  The two page learning exercise contains fifty-two problems.  Answers are included. 
In this distance and midpoint instructional activity, high schoolers solve 5 multiple choice problems. Students find the distance between two points in the coordinate plane. High schoolers find the midpoint of a segment using the midpoint formula. Students find the perimeter of a figure using distance formula.
In 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 distance between two given points. In addition, they find the midpoint between the given points.
In this distance and midpoint formulas worksheet, 9th graders solve and complete 10 different problems. First, they find the distance between the given coordinates and write their answer in simplest radical form. Then, students find the midpoint between the given coordinates.
In this word problem worksheet, young scholars read word problems, and set the information into the distance formula. They solve the formula to determine the distance, rate and time. This two-page worksheet contains six problems, with answers.
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 coordinate plane shown to find each measure and round the answers to the nearest hundredth.
In this geometry worksheet, 10th graders use the distance formula to determine the distance between two points on a coordinate plane. The three page worksheet contains ten questions.  Answers are not included. 
In this distance learning exercise, students solve equations involving square roots. They use the distance formula to solve four of the ten problems. This one-page learning exercise contains ten problems.
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This one-page worksheet contains ten problems.
In this distance, slope and midpoint instructional activity, 9th graders solve and complete 7 different problems. First, they determine the distance of each set of points by using the Distance Formula. Then, students determine the slope of each set of points. Finally, they find the midpoint of each pair of points.

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Distance Formula