Sonoma State University
Sonoma State University: Parallel Lines and Similar and Congruent Triangles
This site defines parallel lines, parallel lines cut by a transverse, and congruent triangles. It also contains links for related terms.
Rice University
Rice University: Cynthia Lanius: Isosceles Triangle Puzzler
This site directs the student to answer true or false questions about isosceles triangles and explain their answers.
The History Cat
The History Cat: Triangle Shirtwaist Fire
Looks at the garment factory industry in the 1800s and the early part of the 20th century, where workers toiled in sweatshop conditions. After a terrible fire at the Triangle Shirtwaist Company in 1911, labor unions gained support in...
CK-12 Foundation
Ck 12: Geometry: Indirect Measurement
[Free Registration/Login may be required to access all resource tools.] Recognize similarity and use similar figures to solve problems by using indirect measurement
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Triangulos Semejantes
Learn how to recognize and construct similar triangles with these interactive activities.
CK-12 Foundation
Ck 12: Geometry: Indirect Measurement
[Free Registration/Login may be required to access all resource tools.] In this lesson students use similar triangles and proportions to find measurements indirectly. Students examine guided notes, review guided practice, watch...
CK-12 Foundation
Ck 12: Indirect Measurement
[Free Registration/Login Required] Students use similar triangles to determine the height of the base of a tree house. Click learn more to watch a video and click challenge me to answer a practice question.
Illustrative Mathematics
Illustrative Mathematics: G Mg Solar Eclipse
For this task, students investigate why total solar eclipses are rare. They will learn that, in addition to requiring the positioning of the Sun, Moon, and Earth, the Moon can only completely block out the Sun when it is closest to the...
Illustrative Mathematics
Illustrative Mathematics: 8.ee Slopes Between Points on a Line
Eighth graders work with slopes and similar triangles in this problem and will learn why the calculated slope will be the same for any two points on a given line. Aligns with 8.EE.B.6.
Wolfram Research
Wolfram Math World: Right Triangle
This site from MathWorld.com offers extensive information on right triangles. The site contains information on numerous characteristics of right triangles, including constructing similar inscribed triangles, altitudes, Pythagorean...
Illustrative Mathematics
Illustrative Mathematics: G Srt Defining Trigonometric Ratios
The purpose of this task is to use the notion of similarity to define the sine and cosine of an acute angle. Aligns with G-SRT.C.6.
Other
Dans Math: Lessons: Trigonometry
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
Illustrative Mathematics
Illustrative Mathematics: G Srt Similar Quadrilaterals
The goal of this task is to study if the analog of the AA criterion for similarity of triangles holds for different types of quadrilaterals. Aligns with HSG-SRT.A.2.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Triangle Series
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation....
Cuemath
Cuemath: Pythagoras Theorem
In this lesson, you will learn about the Pythagoras theorem, its derivations, and equations followed by solved real-world problems on the Pythagoras theorem triangle and squares.
Texas Instruments
Texas Instruments: The Tangent Ratio
In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important...
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Geometry Distance of Triangles Using a Protractor
Basic exercises are presented to help students understand the concept of the area of triangles and the angles of a triangle.
National Council of Teachers of Mathematics
Nctm: Illuminations: Tube Viewer Simulation
A computer simulation of viewing through various lengths of tubes at different distances. The simulation also has an exploration of focus questions. [Requires Java.]
Alabama Learning Exchange
Alex: How Tall Is the School's Flagpole?
The purpose of this lesson plan is to help students apply math concepts concerning similar triangles and trigonometric functions to real life situations. The students learn how to take these concepts and use them to find measurements of...
Sonoma State University
Sonoma State University: Parallel Lines and Similar and Congruent Triangles
This site defines eleven theorems relating to parallel lines and similar and congruent triangles. Links to the theorems and relevant term descriptions are provided.
Other
Mathematics Internet Library: Free Internet Books
Practice problem worksheets are available for students needing to study basic terms relating to triangles and other math concepts.
Illustrative Mathematics
Illustrative Mathematics: G Srt Bank Shot
This task asks learners to use similarity to solve a pool table problem. Students must use the fact from physics that when an object bounces off of a wall, the angle of incidence equals the angle of reflection. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Srt Points From Directions
For this problem, students must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
CK-12 Foundation
Ck 12: Geometry: Parallel Lines and Transversals
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to use the Triangle Proportionality Theorem with multiple parallel lines.
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