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. 

Let's meet in the middle. Given two points on the coordinate plane, pupils use the interactive to find the midpoint. The interactive provides a graphical display of the midpoint and the midpoint formula with the coordinates of the...

In this midpoint formula instructional activity, students determine the midpoint of a line by using given ordered pairs. Students use one endpoint of a line and the midpoint to find the remaining endpoint of a line. This four-page...

In this midpoint formula worksheet, students find the midpoint of line segments. Students identify the midpoint from information given on a graph and from ordered pairs representing the endpoints. They solve 14 problems on two pages. ...

In this midpoint of a line learning exercise, students examine coordinates and determine the midpoint of a line segment.  This three-page learning exercise contains 10 multiple-choice problems.  Answers are provided on the last...

In this midpoint worksheet, students use a number line to find the midpoint of a line segment. Next, they find the midpoint of a line using the coordinate plane. Examples of how to use each method are given at the beginning of the...

Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...

In this midpoint worksheet, students answer ten multiple choice and five free-response problems using the midpoint formula.  The solutions are provided.

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...

Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....

In this midpoints and segment congruence worksheet, 10th graders solve 16 various types of problems related to determining the midpoint and segment congruence in various situations. First, they use the given figure to determine whether...

In this midpoints and segment congruence worksheet, 10th graders solve 14 different problems that relate to determining the midpoints and segments congruence in each. First, they use the given number line to find the coordinates of the...

In this sums activity, students evaluate sums, estimate total mass, determine left and right endpoints and midpoints of the subdivision. This one-page activity contains fifteen problems.

In this geometry worksheet, 10th graders use the midpoint formula to calculate the midpoint of a line segment given a pair of coordinates. There are 8 questions with an answer key.

Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.

In this midpoint learning exercise, students solve 2 short answer problems. Students prove the midpoint of a segment using the definition of midpoint. Students given an example of using midpoint in everyday life.

In this geometry worksheet, 10th graders determine the midpoint of a line segment given the coordinates of the two endpoints or find the missing endpoint given the coordinates of the midpoint and one endpoint.  The one page...

In this perpendicular bisector worksheet, students fold paper, according to instructions, to discover the perpendicular bisector of a segment.  They explore the distances from the bisector to the endpoints of a specified...

For this Euler's Theorem worksheet, 10th graders solve and complete 15 various types of problems. First, they find the distance and midpoint of a segment given its endpoints. Then, students identify the number of vertices, edges, and...

In this triangles instructional activity, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of...

For this formulas worksheet, students determine the distance between two points.  They read story problems, identify needed information, write equations and solve them.  Students find the midpoint of a line.  This two-page...

Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...

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...

What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...