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Best Midpoint
Develop a strong understanding of what it means to be a midpoint. Learners analyze the angles, coordinates, and lengths of segments and their approximated midpoints. They use their analyses to develop a formula to rank four attempts at...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
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...
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Illustrative Mathematics
Tangent to a Circle From a Point
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Texas Instruments
Texas Instruments: The Midpoint Formula
The purpose of the activity is for students to verify the results of the Midpoint Formula using the dynamic capabilities of Cabri Jr.
Rice University
Rice University: Cynthia Lanius: School Bus Geometry
This site gives a lesson on school bus (Taxicab) geometry. The lesson includes distances and midpoints in taxicab geometry.
Texas Instruments
Texas Instruments: Midpoint of a Segment
Students review the basic geometry definitions of segment and midpoint, and learn to use drawing and measurement tools. They explore changes in measurements as the figure is altered.
CK-12 Foundation
Ck 12: Segments From Chords
[Free Registration/Login Required] Students will move points to create a midpoint on a chord. Click 'Challenge Me' to answer a practice question.
Texas Instruments
Texas Instruments: Investigating Segments in a Quadrilateral
In this activity, students use the tools of Cabri Jr to test their knowledge of geometry. They investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral.
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