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 lines cut...
Illustrative Mathematics
A Midpoint Miracle
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
Curated OER
Parts of a Line
In this parts of line worksheet, middle schoolers solve and complete 12 various types of problems. First, they find the length of the indicated line segments. Then, students determine the lengths of the line segments listed.
Curated OER
Archimedes
In this Archimedes instructional activity, students complete and respond to 4 different problems related to different triangles. First, they find the midpoint of each side of a given triangle. Then, students connect the midpoints with...
Curated OER
Formulas Multiple Choice
In this formulas activity, 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 activity...
Curated OER
Geometry Practice GG 66: Midpoint of a Line
In this midpoint of a line worksheet, students examine coordinates and determine the midpoint of a line segment. This three-page worksheet contains 10 multiple-choice problems. Answers are provided on the last page.
Curated OER
Perpendicular Bisector
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 line segment. ...
Curated OER
Semicircles
In this geometry worksheet, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem is...
Curated OER
Points on a Line Segment
In this geometry worksheet, 10th graders solve a problem relating to the length of a line segment. The location of the points on the segment is given in terms of ratios. The one page worksheet has one problem with the solution.Â
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, high...
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.
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...
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...
Curated OER
Midsegments of Quadrilaterals
High schoolers explore the concept of quadrilaterals as they find the midsegments of quadrilaterals using Cabri Jr. on a graphing calculator. They find midpoints, slopes, angles, and distances of lines and angles.
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...
Curated OER
Midpoint of a Line
In this midpoint worksheet, students determine the midpoint of a line from the given coordinates. This four-page worksheet contains 20 problems.
Curated OER
Practice Test: Vectors
In this vector worksheet, students find symmetric equations and the equation of a plane for given situations. They identify unit vectors and determine the distance between midpoints. This two-page worksheet contains 6 multi-step problems.
Curated OER
Congruence Statements
In this congruence statements worksheet, 10th graders solve and complete 16 various types of problems. First, they complete each congruence statement listed. Then, students graph each set of points on the coordinate plane provided. They...
Curated OER
Angle Measures
In this angle measures instructional activity, 10th graders solve and complete 6 different types of problems. First, they find the coordinates of each angle given. Then, students determine if the angles are complementary or...
Curated OER
Infinite Geometric Series
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
Curated OER
Geometry Concepts and Applications
In this concepts and applications review worksheet, 10th graders solve and complete 40 various types of multiple choice problems. First, they write the equation of a vertical line passing through a point. Then, students find the...
Curated OER
Triangulation Experiment
In this triangulation worksheet, students solve and complete 11 steps of an experiment to determine the distance to a far away object using triangulation and trigonometry. First, they select a far away object and create a baseline far...
Curated OER
Midpoint of a Line Segment
In this line segment worksheet, 10th graders identify and solve 10 different problems that include determining the midpoint of a line segment in each. First, they determine the midpoint of a segment that connects two points. Then,...
Curated OER
Tessellations
In this tessellations worksheet, 10th graders complete 8 various types of problems related to a tessellation of the plane by regular polyhedral. First, they draw the vertex figures for each of three regular tessellations and determine...