Worksheet
Curated OER

Geometry Journal: Midpoint

For Students 9th - 12th
In this midpoint worksheet, 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.
Worksheet
Curated OER

Mid-Segment of a Triangle

For Students 10th - 11th
In this triangle learning exercise, students examine triangle diagrams. They determine the perimeter, length of a line, midpoint of a line, and angle measurement from given information. This one-page learning exercise contains ten...
Worksheet
Curated OER

Euler's Theorem

For Students 10th
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...
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
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...
Assessment
1
1
Curated OER

Congruent Segments

For Students 7th - 9th Standards
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another. 
Worksheet
Curated OER

Midpoint

For Students 10th
In this geometry worksheet, 10th graders use the concept of midpoint of a line segment to solve problems in which they determine the length of the indicated segments.  The one page worksheet...
Assessment
Inside Mathematics

Quadrilaterals

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Investigating Lengths of Segments in a Triangle

For Teachers 9th - 12th Standards
Pupils explore the midsegment of a triangle in the geometry lesson. They draw and measure the segment joining the midpoints of the two sides of a triangle and compare its length to the length of the third side of the triangle. The...
Lesson Plan
EngageNY

Special Lines in Triangles (part 2)

For Teachers 9th - 10th Standards
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...
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
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. 
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Worksheet
Mt. San Antonio Collage

Isosceles Triangles and Special Line Segments

For Students 9th - 12th Standards
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Lesson Plan
Curated OER

Investigating Segments in a Triangle

For Teachers 9th - 12th Standards
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...
Lesson Plan
Texas Instruments

Investigating Segments in a Quadrilateral

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Investigating Segments in a Right Triangle

For Teachers 9th - 12th Standards
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...
Worksheet
Mt. San Antonio Collage

The Trapezoid

For Students 9th - 12th Standards
Enjoy this nicely organized worksheet that puts together multiple problems regarding trapezoid proofs. The resource can be used as a guide that begins with proving properties and ends with solving for measures of line segments.
Lesson Plan
Curated OER

Exploring Centers of a Triangle: Part 2

For Teachers 10th - 12th
Students 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 investigate...
Lesson Plan
Curated OER

Medians and Altitudes of Triangles

For Teachers 10th
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...
Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: The Midpoint Formula

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Review of the Assumptions (part 2)

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Extensions, Bisections and Dissections in a Rectangle

For Teachers 9th - 11th Standards
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...
Assessment
EngageNY

End-of-Module Assessment Task - Grade 8 Mathematics (Module 2)

For Students 8th Standards
Can your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...
Worksheet
Curated OER

Midpoints and Segment Congruence

For Students 10th
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...