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Illustrative Mathematics
Congruent Triangles
Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...
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...
McGraw Hill
Triangles
After reviewing characteristics of seven types of triangles, young geometers discover how to find the missing angle of a triangle. Then, they practice identifying triangles, find missing angles, and find missing side lengths of...
EngageNY
Identical Triangles
Explore vocabulary and notation related to triangles and congruence. The fifth lesson in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical triangles and...
EngageNY
Using Unique Triangles to Solve Real-World and Mathematical Problems
How can congruent triangles help mark a soccer field? This is just one question your classes can answer after solving the real-world problems in the lesson. Each example posed through a word problem elicits higher-order thinking and...
Curated OER
Corresponding Parts of Congruent Triangles
Students identify different parts of a triangle. In this geometry activity, students differentiate between similar and congruent triangles. They use the navigator to crate a visual of the different parts of a triangle.
Curated OER
Congruent Triangles
High schoolers identify properties of triangles. In this geometry instructional activity, students differentiate between similar and congruent triangles. They use the umber of sides to help define the angle of the polygon.
EngageNY
Checking for Identical Triangles
Examine an assortment of triangle congruence criteria in a single instructional activity. Building on the four previous lessons of the series, the 13th installment provides a mixture of the different triangle congruence criteria for...
EngageNY
Checking for Identical Triangles II
Given a diagram of connected or overlapping triangles, individuals must find congruent parts using various properties. Pictures include reflexive sides and vertical angles amongst the marked congruent parts.
EngageNY
Unique Triangles—Two Sides and a Non-Included Angle
Construct an understanding of triangle congruence through a visual analysis. Young scholars find that given two sides and a non-included angle, sometimes two possible triangles are produced. Their analysis shows that if the non-included...
EngageNY
Conditions for a Unique Triangle—Two Angles and a Given Side
Using patty paper, classes determine that only one triangle is possible when given two specific angle measures and a side length. As the 10th instructional activity in the series of 29, young math scholars add these criteria to those...
Curated OER
Congruent Polygons: Copying Stretchy Shapes
Third graders investigate congruent polygons through dance. In this congruency lesson, 3rd graders do the "brain dance" as a warm up. They review polygon names by singing "The Polygon Chant," before mirroring congruent shapes with a...
EngageNY
Conditions for a Unique Triangle—Three Sides and Two Sides and the Included Angle
Building on the previous lesson in the 29-part series, the ninth lesson asks individuals to construct a triangle given specific criteria. First, they are given three specific side lengths, followed by two sides and the included angle....
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
Curated OER
Triangle Midsegment
Learn how to calculate the length and midsegments of triangles. Students differentiate between similar and congruent triangles. They create a spreadsheet with their findings.
K12 Reader
Congruent Geometric Shapes
Here's a reading comprehension worksheet that focuses on congruent geometric shapes. After reading a short article about congruent figures, kids respond to a series of comprehension questions.
EngageNY
Drawing Triangles
Create concrete examples of triangle congruence for your classes. The eighth installment of the 29-part module sets the stage for studying triangle congruence. Given a set of criteria, math scholars use constructions to build a specific...
Mathed Up!
Congruent Shapes
Are congruent shapes compatible? Congruent shapes are identical to one another, and throughout the assessment, young mathematicians identify given shapes as congruent.
Curated OER
Triangle Congruence
Students use web applet to create congruent triangles. In this geometry lesson, students differentiate between congruent and similar. They create shapes online and drag those shapes around to create visuals of triangles.
Curated OER
Nested Similar Triangles
Nested triangles have been created so that they share a common vertex and vertex angle. Learners drag the endpoints of the side that is opposite the common angle to discover the conditions that make the nested triangles similar. When...
Curated OER
Mathematics Lesson for Grade 10
There are four main topics in this bundle of lesson plans. They don't need to be taught sequentially. Each lesson has three parts: a starter, a main activity, and something to help consolidate and provide reflection on concepts learned.
Curated OER
Congruent Triangles - Is This Enough Information?
Seventh graders examine congruence postulates and apply knowledge to triangles in the world around them.
Curated OER
Toe to Toe Geo
Young scholars study triangles. In this triangle lesson plan, students compare and classify triangles while milling to music. Young scholars will also trade triangles so they can match up with other similar triangles. Triangles are...
Curated OER
Similar Triangles - Applied Problems
Students differentiate between similar and congruent triangles. In this geometry lesson, students identify the angles of triangles using the similarity theorem. They apply concepts of triangles to the real world.
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