Virginia Department of Education
Perfecting Squares
Here's a perfect way to introduce perfect squares. Individuals color in the diagonals of squares and record observations about patterns. They connect their diagrams to exponents of two and perfect squares.
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
Curated OER
7-2 Self Check Pythagorean Theorem Multiple Choice
Middle and high schoolers use the Pythagorean Theorem to determine the length of the sides of a right triangle. They solve distance problems. This one-page worksheet contains 10 multiple-choice problems. This is self-checking worksheet.
Illustrative Mathematics
Area of a Trapezoid
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...
EngageNY
Applications of the Pythagorean Theorem
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
Corbett Maths
3D Pythagoras
Calculate one hypotenuse then repeat. The resource provides a variety of ways for finding the length of the diagonal in a prism. Using the Pythagorean Theorem, pupils find a variety of distances in 3-D figures. The distances range from...
Curated OER
Number Sense and Numeration: Square Roots
In this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same...
Curated OER
Countdown Challenge: Similarity
In this similarity worksheet, 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 worksheet contains one...
Curated OER
Worksheet 24 Spring 1996
In this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
Curated OER
SAT Grid Practice Test 11
In this SAT practice test, learners compute the area and perimeter of polygons. They determine the volume of a cylinder and solve problems with exponents. This one-page instructional activity contains 10 problems. Answers are provided.
Curated OER
Calculating the Hypotenuse
In this triangles worksheet, students use Pythagoras' theorem to find the hypotenuse of a triangle. Students solve 20 problems and also calculate the length of the diagonals in rectangles. This page is intended for online use but may be...
Curated OER
Polygon Area Review Sheet
In this polygon area instructional activity, students answer 8 questions involving the area of several polygons. Students are given various details of the polygon and must find lengths of various polygons.
Curated OER
The Pythagorean Theorem
In this geometry worksheet, 10th graders use the Pythagorean Theorem to determine the length of the third side of a right triangle given the length of any two sides. The three page worksheet contains a combination of seventeen multiple...
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...
Math Mammoth
Pythagorean Theorem; Math Mammoth.com
In this math worksheet, students check to see if two triangles are right triangles by using the Pythagorean theorem. When given two sides of a right triangle, students find the third side. They use the Pythagorean theorem to find the...
Curated OER
Right Triangles
In this right triangles worksheet, 10th graders solve and complete 12 various types of problems. First, they solve for x given each of the right triangles shown. Then, students determine the length of the shorter diagonal given the...
Curated OER
Squares and Square Roots
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...
Curated OER
Area of Quadrilaterals
In this area of quadrilaterals worksheet, 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 the squares of...
Curated OER
Area of Polygons
In this geometry worksheet, students analyze the different properties of parallelograms related to their angles, sides and diagonals. There are 5 problems with an answer key.
Curated OER
Properties of Parallelograms
High schoolers discover properties of parallelograms as they construct a parallelogram using Cabri Jr. They will measure angles and side lengths of their construction and determine the relationship between the diagonals of a...
Curated OER
Transformations and Congruence
In this transformations and congruence learning exercise, 10th graders solve and complete 5 different types of problems. First, they calculate the length of a line giving their answer in 3 significant figures. Then, students prove that...
Key Curriculum Press
Properties of Special Parallelograms
Rhombuses, rectangles and squares are have special properties. In this lesson plan, young geometers investigate and make conjectures about diagonals, angles, and parallel lines of parallelograms.
Curated OER
Right Triangles
In this right triangles learning exercise, 10th graders solve and complete 14 various types of problems. First, they find the perimeter of the isosceles trapezoid shown. Then, students find the measures of each marked side of a right...
Curated OER
Perimeter
In this perimeter worksheet, 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...