Angular Size and Similar Triangles
In this angular size and similar triangles worksheet, students use the properties of similar triangles and the ratios of sides to solve for unknowns in given diagrams.
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The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
9th - 10th Math CCSS: Designed
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
8th Math CCSS: Designed
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
9th - 11th Math CCSS: Adaptable
New Review Congruent Triangles: Lesson
Given two congruent triangles, the resource provides the definition of congruent triangles and marks the corresponding parts. The portion of a basic geometry playlist shows the triangles are congruent by moving one on top of the other...
3 mins 9th - 12th Math CCSS: Adaptable
Derive the Pythagorean Identity Using Similar Triangles
There are a number of ways to prove the Pythagorean Identity, sin2θ + cos2θ = 1. After a concise review of the definition of similar triangles, the video walks through a demonstration of the proof. This short presentation could be used...
6 mins 9th - 12th Math CCSS: Designed
New Review Falling Down a Rabbit Hole Can Lead to a King-sized Experience - Exploring Similar Figures Using Proportions
Just a sip will make things smaller. Using Alice’s Adventures in Wonderland as a hook, the instructional activity introduces the idea of similarity. Pupils use it to find the distances on a map by applying the scale factor and creating...
7th - 12th Math CCSS: Designed