Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Education Development Center
Finding Parallelogram Vertices
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
Illustrative Mathematics
What is a Trapezoid? (Part 2)
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
Curated OER
Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
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...
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Illustrative Mathematics
What Shape Am I?
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Illustrative Mathematics
What is a Trapezoid? (Part 1)
Challenge your class to construct a definition for trapezoids. Looking at four examples and four non-examples, students individually create definitions and use them to classify an unknown shape. Allow for small group and whole-class...
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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Quadrilateral Exercises
Twenty-four problems cover the topic of working with quadrilaterals in different settings. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Texas Instruments
Texas Instruments: Properties of Parallelograms
In this activity, students go through the process of proving a quadrilateral to be a parallelogram. They understand the various characteristics of a parallelogram.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Quadrilaterals
Practice using your graphing calculator for constructing a parallelogram, a rhombus, a kite, a trapezoid, an isosceles trapezoid, a rectangle, and a square. If you get stumped or if you would like to check your work, then select the View...
CK-12 Foundation
Ck 12: Quadrilaterals That Are Parallelograms
[Free Registration/Login Required] Students will move the interactice quadrilateral to determine which quads are parallelograms. Click learn more to watch a video and click challenge me to answer a practice question.
Texas Instruments
Texas Instruments: Discovering Properties of Parallelograms, Kites & Trapazoids
This activity allows the teacher to cover the properties of a parallelogram, rectangle, rhombus, square, kite, and trapezoid in two days (90 min. block scheduling) Using a group setting students discover these properties using the Cabri...
CK-12 Foundation
Ck 12: Perimeter of Parallelograms: Around a Trampoline
[Free Registration/Login Required] Students move the points on the parallelogram to determine the perimeter. Click challenge me to answer practice questions and click learn more to watch a video.
Texas Instruments
Texas Instruments: Special Parallelograms
In this activity, students will study special types of parallelograms like rhombus and rectangle, and investigate properties related to their diagonals.
CK-12 Foundation
Ck 12: Parallelograms
[Free Registration/Login Required] Students will move the points on the parallelogram to explore what happens to the slope. Click learn more to watch a video and click challenge me to answer a practice question.
Maths Challenge
Maths challenge.net: Quadrilateral Parallelogram
A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math knowledge. This problem asks to prove that the mid points of any quadrilateral form a parallelogram.
CK-12 Foundation
Ck 12: Parallelogram Classification
[Free Registration/Login Required] Students will use the classify different shapes by changing the points on the given shape. Click learn more to watch a video and click challenge me to answer a practice question.
CK-12 Foundation
Ck 12: Parallelogram Classification
[Free Registration/Login Required] Students will use the interactive activity to complete the venn diagram. Click learn more to watch a video and click challenge me to answer a practice question.
BBC
Bbc: Area in General
You can pick up some valuable pointers on how to find the area of a triangle, rectangle, and other quadrilaterals. When you finish working your way through the pages you can take an on-line "Test Bite," and check your understanding.
Illustrative Mathematics
Illustrative Mathematics: 4.g What Shape Am I?
In this task, students ultimately use the definitions they are given for three types of quadrilaterals and what they know about parallel sides to identify that a square fits all the definitions and explain why. Aligns with 4.G.A.2.
Texas Instruments
Texas Instruments: Perimeters, Areas, and Slopes Oh, My!
In this activity, students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Figuras Geometricas en El Plano
Interactive activities dealing with the areas of quadrilaterals figures.