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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...
Virginia Department of Education
Properties of Quadrilaterals
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...
Inside Mathematics
Quadrilaterals
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...
EngageNY
Cyclic Quadrilaterals
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.
Curated OER
Properties of Quadrilaterals
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...
Curated OER
Quadrilaterals
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...
Curated OER
More Quadrilaterals
In this quadrilaterals worksheet, students identify shapes and their properties. In this problem solving worksheet, students answer fourteen questions.
Curated OER
Area of Quadrilaterals
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...
Willow Tree
Interior Angles, Exterior Angles, and Diagonals of Polygons
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...
Curated OER
Quadrilaterals
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...
Curated OER
Drawing Quadrilaterals
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.
Curated OER
Quadrilaterals
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,...
Curated OER
The Quadrilateral Family
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...
Curated OER
Countdown Challenge: Similarity
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.
Curated OER
Developing Formulas for Triangles and Quadrilaterals
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.
Curated OER
Quadrilaterals and their Diagonals
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...
Curated OER
Quadrilateral Explorations
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...
Curated OER
Quadrilaterals Multiple Choice
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.
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
Properties of a Quadrilateral
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....
EngageNY
Ptolemy's Theorem
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.
Curated OER
Hands-On: Sums of Angle Measures
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.
Curated OER
Countdown Challenge: Similarity
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...
Curated OER
Parallelograms
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...