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...
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...
Worksheet
Mt. San Antonio Collage

Properties of a Parallelogram

For Students 9th - 12th Standards
More than just a worksheet, the resource provides a thorough guide to navigate through the land of parallelograms. Filled with definitions and theorems, the resource supports learners through problems such as proofs and finding missing...
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...
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

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

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.
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.
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
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

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,...
Assessment
Noyce Foundation

Parallelogram

For Teachers 6th - 7th Standards
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
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.
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

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.
Lesson Plan
Curated OER

Area of Polygons

For Teachers 10th
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
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

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

Law of Cosines

For Students 10th
In this Law of Cosines worksheet, 10th graders solve 10 different problems related to applying the Laws of Cosine. First, they determine the length of a side rounded to the nearest integer. Then, students determine the largest angle of a...
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.
Worksheet
Curated OER

Perimeter of Kite

For Students 9th - 11th
In this geometry worksheet, students calculate t he perimeter of a kite given the values of the sides and diagonals. There are 6 questions with an answer key.
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....
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...