Curated OER
Ten Multiple Choice Length Problems
In this distance worksheet, students calculate the lengths of sides and diagonals of figures. Students also compute lengths in shadow problems. The solutions are provided by clicking on the "show answers" tab at the bottom of the page.
Curated OER
Similarity: Instructional
In this similarity learning exercise, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then,...
Charleston School District
3D Applications of the Pythagorean Theorem
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side lengths...
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.
Mathematics Assessment Project
Evaluating Statements About Length and Area
Class members complete an assessment task by identifying whether statements about triangles and quadrilaterals are always true, sometimes true, or never true. They then participate in a sorting activity with the same objective.
Curated OER
Pythagorean Theorem Word Problems
In this Pythagorean theorem learning exercise, 10th graders solve 10 different word problems that include using the Pythagorean theorem in each. First, they determine the height of an equilateral triangle. Then, students determine the...
Curated OER
Going out of Business: Pythagorean Theorem
Students find the length of diagonals. For this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals.
Curated OER
Right Triangles
For this right triangles worksheet, 10th graders solve 10 different problems that include various right triangles. First, they find the value of a base given its hypotenuse. Then, students determine an angle given the perimeter and...
Curated OER
Area of Polygons
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...
Curated OER
Geometric Applications
In this geometric applications worksheet, students find the length of a missing side of a right triangle. They determine the perimeter of a polygon and find the distance between two lines. This two-page worksheet contains 28 problems.
PBS
Working with Coordinate Planes: Activities and Supplemental Materials
Seven activities make up a collection of supplemental materials to reinforce graphing on a coordinate plane. Worksheet objectives include plotting coordinates within single and four quadrants, measuring straight and diagonal lines, and...
Curated OER
The Luxor - Pyramids, Surface Area & Volume
Students investigate the surface area and volume of the Luxor Hotel in Las Vegas. They calculate the slant height, lateral edge, and diagonal length of the base. Using this information, students explore other areas of the hotel, such as...
Curated OER
Diagonals and Altitudes
Middle schoolers discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers...
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...
101 Questions
Viewmongous TV
Just how big of a TV do you need?! The task at hand asks individuals to compare the area of 80-inch and 55-inch TVs. The length of the TV is given and learners must use the Pythagorean Theorem to determine the width to calculate the areas.
Curated OER
Diagonal Lengths
Students collect, organize, and analyze data while studying the Pythagorean Theorem, measure length and width of several rectangular objects, and compare the measured results to the calculated results.
Corbett Maths
Pythagoras Rectangles and Isosceles Triangles
When does the Pythagorean Theorem come in handy? An intriguing video uses the Pythagorean Theorem to solve problems other than simply finding the length of a side of a right triangle. Pupils find the diagonal of a rectangle and the...
Curated OER
Special Right Triangles
In this special right triangles worksheet, 10th graders solve 9 different problems related to measuring various types of right triangles. First, they find the values of x and y in each right triangle shown. Then, students find the length...
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
Geometry Journal: Isosceles Triangles
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Curated OER
Law of Cosines
For 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...
Curated OER
Trigonometry Involving Figures - Week 11
In this trigonometry worksheet, students use trigonometric functions to determine the measurement of angles and the length of sides in given figures. Most figures are comprised of rectangles containing parallel and perpendicular lines,...
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...