Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Virginia Department of Education

Properties of Quadrilaterals

For Teachers 9th - 11th Standards
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
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
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Worksheet
Curated OER

Properties of Quadrilaterals

For Students 9th - 11th
In this properties of quadrilaterals worksheet, students use the properties of quadrilaterals to find the perimeter, angle measurement or length of a missing side of a given polygon. Examples and explanations of the properties are...
Worksheet
Curated OER

Quadrilaterals

For Students 10th
In this quadrilaterals learning exercise, 10th graders solve and complete 34 various types of problems. First, they fill-in the family tree with the names of the shapes of quadrilaterals shown. Then, students list the quadrilaterals that...
Worksheet
Curated OER

More Quadrilaterals

For Students 3rd - 5th
In this quadrilaterals worksheet, students identify shapes and their properties. In this problem solving worksheet, students answer fourteen questions.
Worksheet
Curated OER

Area of Quadrilaterals

For Students 10th
In this area of quadrilaterals instructional activity, 10th graders solve and complete 5 various types of problems. First, they solve each of the triangles shown and find the area of each triangle. Then, students prove that the sum of...
Lesson Plan
Willow Tree

Interior Angles, Exterior Angles, and Diagonals of Polygons

For Students 8th - 11th Standards
How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate...
Worksheet
Curated OER

Quadrilaterals

For Students 10th
In this quadrilaterals worksheet, 10th graders solve 10 different problems that include the quadrilateral family and properties. First, they determine the area of a rectangle given the perimeter and length. Then, students determine the...
Worksheet
Curated OER

Drawing Quadrilaterals

For Students 6th - 8th
In this math worksheet, learners draw quadrilaterals and also find the sums of the inner angles for each. They practice drawing rhombuses as unique quadrilaterals.
Worksheet
Curated OER

Quadrilaterals

For Students 10th
In this quadrilaterals worksheet, 10th graders solve and complete 10 different problems that include various types of quadrilaterals to identify. First, they find the value for each variable in the illustrated quadrilateral. Then,...
Worksheet
Curated OER

The Quadrilateral Family

For Students 10th
In this quadrilaterals worksheet, 10th graders solve and complete 10 different problems that include identifying various quadrilaterals. First, they indicate whether the statements are true or false for each. Then, students determine the...
Worksheet
Curated OER

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity worksheet, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page worksheet contains one similar problem with 13 related questions.
Lesson Plan
Curated OER

Developing Formulas for Triangles and Quadrilaterals

For Teachers 10th
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
Worksheet
Curated OER

Quadrilaterals and their Diagonals

For Students 10th
In this quadrilaterals and their diagonals worksheet, 10th graders solve 3 problems related to determining various types of quadrilaterals. First, they draw the diagonals for each of the quadrilaterals and determine for which the...
Worksheet
Curated OER

Quadrilateral Explorations

For Students 9th
In this geometry activity, 9th graders classify quadrilaterals by using coordinate geometry and the properties of various quadrilaterals. The seven page activity contains eleven questions. Answers are...
Interactive
Curated OER

Quadrilaterals Multiple Choice

For Students 9th - 10th
For this geometry worksheet, students identify the properties of quadrilaterals. they find the length of th sides and angles of quadrilaterals. There are 5 questions with an answer key.
Worksheet
Curated OER

Midpoint of a Line Segment

For Students 10th
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,...
Worksheet
Curated OER

Properties of a Quadrilateral

For Students 10th
In this geometry worksheet, 10th graders use coordinate geometry to examine the lengths, slopes, and midpoints of the diagonals of the different quadrilaterals in order to arrive at conclusions regarding the properties of the diagonals....
Lesson Plan
EngageNY

Ptolemy's Theorem

For Teachers 9th - 12th Standards
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Worksheet
Curated OER

Hands-On: Sums of Angle Measures

For Students 5th - 8th
In this angle measures worksheet, students solve six word problems where they are given 6 different polygons, some of which are complex, and must determine angle measures in order to arrive at a solution.
Worksheet
Curated OER

Countdown Challenge: Similarity

For Students 7th - 8th
In this similarity activity, students observe similar rectangles and determine the length of the diagonal. They use words, symbols and diagrams to solve the problem and explain the results. This one-page activity contains one multi-step...
Worksheet
Curated OER

Parallelograms

For Students 10th
In this parallelograms activity, 10th graders identify and describe a quadrilateral, a diagonal, and a parallelogram in 7 different problems. First, they find the values of x, y, and z in each quadrilateral to prove that it is a...