Curated OER
Geometric Mean and the Pythagorean Theorem
In this geometric mean and Pythagorean Theorem worksheet, 10th graders solve 9 problems related to determining the geometric mean by applying the Pythagorean Theorem in each problem. First, they find the geometric mean between each pair...
Curated OER
Exploring Geometric Mean
Students solve problems using geometric means. In this geometry lesson plan, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
Curated OER
Exploring Geometric Mean
Student identify the solution using geometric mean. In this geometry lesson, students create right triangles where the altitude of the triangle is the side containing the right angle. They modify shapes using Cabri software and observe...
Curated OER
The Geometry of Means
For this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
Curated OER
Geometry Worksheet: Right Triangle
In this geometry activity, 10th graders apply their knowledge of altitudes and geometric mean to solve the right triangle in order to find the length of the hypotenuse. The one page activity contains one problem. Answers are...
Curated OER
Altitude to the Hypotenuse
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
Curated OER
THE MEAN INDEX CARD
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Curated OER
Geometric Figures
Students compare, classify and calculate the area of geometric figures such as rectangles, squares, circles and triangles.
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Geometry Accelerated
Coordinate Geometry Additional Practice
Your learners get extra practice using coordinates in calculating mid points, finding end points, deciding if points are collinear, calculations using slope concepts, writing linear equations, using triangles and quadrilaterals, and...
Texas Education Agency
Texas Gateway: Similar Right Triangles: The Altitude to the Hypotenuse
The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.
CK-12 Foundation
Ck 12: Geometry: Right Triangle Similarity Study Guide
[Free Registration/Login may be required to access all resource tools.] An overview of altitudes and geometric mean is provided in this study guide.