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Curated OER
Midpoints and Segment Congruence
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...
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....
Curated OER
Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
Curated OER
Midpoint of a Segment
Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
EngageNY
Special Lines in Triangles (part 1)
Allow your pupils to become the mathematicians! Individuals explore the properties of a midsegment of a triangle through construction and measurement. Once they figure out the properties, learners use them to draw conclusions.
Curated OER
Introduction to Parallel Lines in Euclidean Space and in Spherical Space
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson plan in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to...
Curated OER
Medians and Altitudes of Triangles
In this geometry worksheet, 10th graders determine if a given segment is a median or altitude of a triangle and use then find the indicated missing length or equation of a line. The two page worksheet contains twenty...
Curated OER
Investigating Segments in a Triangle
Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...
Texas Instruments
Investigating Segments in a Quadrilateral
Investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral. In this properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral lesson, students use...
Curated OER
Midpoint Formula in the Coordinate System
Students calculate the midpoint of a line. For this geometry lesson, students identify the different parts of the coordinate plane. They use the midpoint formula to find the middle of segments between a pair of coordinates.
Curated OER
Points, Lines, Planes, and Space
In this points, lines, planes, and space worksheet, students solve word problems dealing with points, lines, planes, and space. Students complete 20 individual problems and 20 group problems.
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
Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
Alabama Learning Exchange
Investigating School Safety and Slope
Learners investigate the slope of various stairways through a "news report" approach and employ mathematical knowledge of applied slope to report on wheelchair accessibility and adherence to Americans with Disabilities Act. They...
EngageNY
Review of the Assumptions (part 2)
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...
Curated OER
Exploring Centers of a Triangle: Part 2
Young scholars model and solve a real-world problem by constructing the centroid of a triangle. They explore relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. Students ...
Curated OER
Geometry of Triangles - Week 6
In this geometry of triangles worksheet, students find the length of sides, are, and angle measurement of inscribed triangles, pentagons, and midpoint of a line. This two-page worksheet contains seven problems.
Curated OER
Line, Ray, Segment
Young scholars define vocabulary words. In this geometry instructional activity, students identify the graph as a line, ray or segments. They understand the properties of each and calculate the distance on a number line.
Curated OER
Equations of Lines
Young scholars classify lines, slopes and shapes. In this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
Curated OER
Concurrent Lines in Triangles
Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Curated OER
Median of a Trapezoid
Learners find the median of trapezoids and other polygons. In this geometry lesson, students identify important properties of trapezoids. They create trapezoids and polygons using Cabri software.