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CK-12 Foundation
Ck 12: Geometry: Triangle Congruence Study Guide
[Free Registration/Login may be required to access all resource tools.] Provides an overview of triangle congruence, including key terms, properties of congruent triangles, triangle postulates and theorems, and special triangles.
CK-12 Foundation
Ck 12: Interactive Geometry: 13.3 Sas Triangle Congruence
See how two triangles are congruent it means that all corresponding angle pairs and all corresponding sides are congruent.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Determining Triangle Similarity
Dr. Math responds to a question about how to determine if two triangles are similar. The Dr. goes into detail about the process and gives several examples that are worked out for you.
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Number Patterns in Pascal's Triangle
Contains relevant information regarding the Pascal's Triangle "Inform the students that the rows and columns of integers that make up the triangle known as "Pascal's Triangle" contain many number patterns that they can easily recognize...
Illustrative Mathematics
Illustrative Mathematics: G Co Showing a Triangle Congruence: A Particular Case
Given two congruent triangles, students are asked to analyze the effects of different transformations. Aligns with G-CO.A.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Srt Finding Triangle Coordinates
Given a picture of a triangle on a coordinate grid, students are asked to find the coordinates of points which divide line segments in a given ratio. Aligns with G-GPE.B.6 and G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Srt Similar Triangles
This task works toward establishing the AA criterion for similarity of triangles. Young scholars are asked to provide a detailed sequence of transformations that moves one of the given triangles onto the other. Aligns with G-SRT.A.3.
Shodor Education Foundation
Shodor Interactivate: Lesson: Pascal's Triangle
In this lesson, students will participate in discussions and activities that will have them explore the number patterns and fractal properties of Pascal's Triangle.
Khan Academy
Khan Academy: General Triangle Word Problems
Solve word problems that involve general triangles using trigonometry. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Analyze Math
Analyze Math: Triangle Problems
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle
Suppose we are given a circle of radius r. The goal of this task is to construct an equilateral triangle whose three vertices lie on the circle. Aligns with G-CO.D.13.
Illustrative Mathematics
Illustrative Mathematics: G Co Reflections and Equilateral Triangles
Given an equilateral triangle, learners are asked to explore its symmetries using rigid transformations of the plane. Aligns with G-CO.B.
Calculator Soup
Calculator Soup: Triangle Theorems Calculator
Each calculation option has sub-bullets that list the sequence of methods used in this calculator to solve for unknown angle and side values including Sum of Angles in a Triangle, Law of Sines, and Law of Cosines.
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Setting Up Sprinklers
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Alabama Learning Exchange
Alex: Geometric Mean and Indirect Measurement
In this inquiry-based lesson, young scholars will work in groups to gather measurements needed to approximate the height of a building. Students will discover how geometric mean can be used to find the lengths of missing sides of right...
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Srt Slope Criterion for Perpendicular Lines
The goal of this task is to use similar triangles to establish the slope criterion for perpendicular lines. Aligns with HSG-GPE.B.5 and HSG-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Srt Tangent Line to Two Circles
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Srt Pythagorean Theorem
The purpose of this task is to prove the Pythagorean Theorem using similar triangles. Aligns with G-SRT.B.4.
Illustrative Mathematics
Illustrative Mathematics: g.co Reflections and Isosceles Triangles
This task has young scholars link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...
Illustrative Mathematics
Illustrative Mathematics: A Apr Trina's Triangles
In this task, learners investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Cuemath
Cuemath: Law of Cosine
Explore the world of the Law of Cosine in this mini-lesson. Provides a definition, simulations, examples, and practice questions that help with understanding.
Purple Math
Purplemath: Basic Trigonometric Ratios: Examples
Demonstrates how to use trig ratios to do simple solving of triangles.
University of Texas at Austin
The University of Texas Mc Donald Observatory: Delta, Delta, Delta
Students learn abouT the Law of Reflection by constructing an equilateral triangle using graph paper, pencil, protractor, and a ruler and a "laser triangle" using a laser pointer and front-silvered mirrors.
Illustrative Mathematics
Illustrative Mathematics: G Srt Mt. Whitney to Death Valley
For this task, students are asked to make a mathematical model and determine if it is possible to see a point on the surface of the Earth that is 85 miles away, and well below sea level, from the top of a mountain. The curvature of the...
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