EngageNY
Properties of Parallelograms
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
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...
Mt. San Antonio Collage
Properties of a Parallelogram
More than just a activity, 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...
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...
Curated OER
Parallelograms
In this parallelograms worksheet, 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...
Curated OER
Tests for Parallelograms
In this tests for parallelograms learning exercise, 10th graders solve 7 various types of geometry problems that include parallelograms. First, they determine if each quadrilateral is a parallelogram and justify their answers. Then,...
Curated OER
Area of Parallelograms
In this area of parallelograms worksheet, 10th graders solve 9 different types of problems related to finding the area of a parallelogram. First, they find the area of each figure or shaded region, assuming that angles that appear to be...
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...
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Curated OER
Brother In The Box
Middle schoolers investigate the concept of finding the area of a parallelogram. The lesson uses a story that is told as an illustration to help straighten the confusion associated with the concept. Students could construct...
Curated OER
Understanding Categories of Shapes
What are these shapes? Here are four shapes with some common attributes: they each have four parallel sides and four vertices. Scholars identify a rectangle, rhombus, square, and quadrilateral. Because there is an explanation written...
Curated OER
Logical Relationship of Postulates & Theorems
For this postulates and theorems worksheet, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram. They use the concept map to prove theorems dealing...
Curated OER
Properties of Quadrilaterals
In this properties of quadrilaterals learning exercise, 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...
Curated OER
Quadrilaterals
For 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
Parallelograms
In this geometry activity, students identify properties of parallelograms. They use proof to justify their answers using quadrilaterals and parallelograms. there are 25 questions.
Curated OER
Parallelogram Worksheet
In this geometry worksheet, students identify important properties of parallelograms. They identify properties of the sides, angles and diagonals. There identify special parallelograms also.
Curated OER
Tests for Parallelograms
In this geometry worksheet, 10th graders state the theorem used to determine if the given quadrilateral is a parallelogram and find the indicated missing angle measures and side lengths. The two page worksheet fifteen questions. Answers...
Curated OER
Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. For this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons. They identify each given figure and determine the appropriate formula needed to...
Curated OER
Rectangles
In this rectangles worksheet, 10th graders solve 6 different geometry problems that are related to the quadrilateral, rectangle. First, they find the values of x and y to determine if quadrilateral RSTV is a rectangle. Then, students...
Curated OER
The Quadrilateral Family
For 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...
Curated OER
Perimeter
In this perimeter activity, 10th graders solve and complete nineteen various geometry problems. First, they find the length of given segments in addition to the perimeter of a kite. Then, students find the value of a variable so that the...
Curated OER
Geometric Figure Quiz
In this geometric figure instructional activity, students answer 10 multiple choice questions about geometric figures. Students find missing angles, interior angles, properties of polygons, etc.
Jesuit High School
Geometry Sample Problems
I'd like to prove that this worksheet has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the worksheet is some practice problems that show worked out...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....