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101 Questions
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
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
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...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson plan, 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...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
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.
Texas Instruments
Texas Instruments: Finding the Endpoint of a Segment Given One Endpoint and The
The purpose of the activity is for students to verify how to determine the coordinates of an endpoint of a segment, given the midpoint and other endpoint, using the dynamic capabilities of Cabri Jr.
Texas Instruments
Texas Instruments: Midpoint Formula Discovery
Step by step instructions are given for the students to draw a segment, find the midpoint, and label the coordinates of the two endpoints and the midpoint. The students then record the data in a table for various segments. Based on the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Midpoint of a Line Segment
Twenty problems present a variety of problems working with various aspects of finding the midpoint of a line segment. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem...
Other
Git: What Is the Slope Intercept Form of a Line?
Not only does this site show what the slope-intercept form is, but it helps you find the slope and the intercept of a line. There is also additional information on parallel lines, parametric form, and the distance between two points.
Texas Instruments
Texas Instruments: Investigating Segments in a Right Triangle
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse.
Texas Instruments
Texas Instruments: Investigating Lengths of Segments in a Triangle
In this activity, students connect the midpoints of two sides of a triangle, to draw the midsegment of the triangle. They investigate how the length of this segment relates to the third side of the triangle. [Requires Adobe Reader.]
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.
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Midpoint Formula for Any Fraction
The Midpoint Formula finds the exact point that is halfway between two points. "Dr. Math" provides a formula that can be used to locate a point that is some fractional part of the entire segment.
BBC
Bbc: Ks3 Bitesize: Constructions and Locus
This BBC Bitesize focuses on constructions and locus. To understand this activity, you must already know how to define perpendicular, bisect, and locus.