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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
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Worksheet
Curated OER

Properties of Angles, Lines, and Triangles

For Students 10th
In this properties of angles, lines and triangles instructional activity, 10th graders solve and complete 28 different problems that include determining the measurement of various figures shown. First, they use the geometric properties...
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Worksheet
Curated OER

Parallel Lines and Transversals Worksheet

For Students 10th
For this geometry worksheet, 10th graders investigate angles formed when parallel lines are cut by a transversal. They discuss interior and exterior angles, same side and alternate angles. There are 6 questions.
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Lesson Plan
Curated OER

Geometry Lesson 7: Line Segments And Angles

For Teachers 4th
Fourth graders examine and identify line segments and angles using dot paper to draw them. They look at vertical, horizontal, intersecting, parallel and perpendicular lines, draw right angles and angles that are greater than and less...
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Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs with Constructions

For Teachers 9th - 10th Standards
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
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Assessment
Mathed Up!

Angles

For Students 6th - 8th Standards
What does a geometric farmer drive? A protractor, of course! A set of assessment worksheets prompts learners to use a protractor as they measure angles, name angles, and identify lines. Use the video as a way to introduce the concepts. 
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Lesson Plan
EngageNY

Similarity and the Angle Bisector Theorem

For Teachers 9th - 10th Standards
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
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Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
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Lesson Plan
Curated OER

Measurement of Angles

For Teachers 5th - 7th
Students measure angles that are formed by parallel lines and a transversal lines. In this angles lesson plan, students measure and define angles that are made by parallel and transversal lines. They will color code the angles based on...
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Worksheet
Curated OER

Angles and Parallel Lines

For Students 9th - 10th
In this geometry worksheet, students identify the different angles formed by cut parallel lines. They name the angles and find the measures of each. There are 24 questions.
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Worksheet
Curated OER

Co-exterior Angles Worksheet

For Students 10th
In this geometry worksheet, 10th graders analyze angles created by a transversal. They identify co-exterior angles as they review theorems dealing with parallel lines. There are 6 questions with an answer key.
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Lesson Plan
EngageNY

Making Scale Drawings Using the Parallel Method

For Students 9th - 10th Standards
How many ways can you create a dilation? Many! Individuals strengthen their understanding of dilations by using various methods to create them. The new technique builds on pupils' understanding of the ratio method. Using the ratio,...
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Worksheet
Academic Magnet High School

Parallel Lines Proofs Practice

For Students 8th - 11th Standards
Here is a worksheet that lines up perfectly with the skills needed to finish a geometric proof. Eleven problems are given to see if learners can prove that lines are parallel or angles are congruent. 
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Unit Plan
Mathematics Vision Project

Module 4: Similarity and Right Triangle Trigonometry

For Teachers 9th - 12th Standards
Right you are to use a great resource. Starting with a lesson on dilations, scholars learn about similarity transformations and similar triangles. They use the knowledge to develop an understanding of right triangle trigonometry in later...
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Interactive
Curated OER

Angles and Parallel Lines Quiz

For Students 9th - 10th
In this geometry worksheet, students identify missing angles and sides. They identify angles formed by parallel lines cut by a transversal. There are 7 questions with an answer key.
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Lesson Plan
Curated OER

Angles and Transversals

For Teachers 9th - 12th Standards
Pupils explore the concept of angles and transversals. They construct parallel and non-parallel lines cut by a transversal using Cabri Jr. Learners then determine which angles are congruent and the relationship of angles when two lines...
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Lesson Plan
Curated OER

Alternate Interior Angles

For Teachers 9th - 12th Standards
Label angles of parallel lines to analyze the angles created by a transversal and two parallel lines. They graph their lines and observe the similarity and difference in the angles.
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Lesson Plan
Curated OER

Ruler and Compass Constructions

For Teachers 4th - 5th
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Lesson Plan
Curated OER

Special Angles on Parallel Lines

For Teachers 10th
Tenth graders investigate parallel lines and their special angles cut by a transversal. In this geometry instructional activity, 10th graders identify and find corresponding, alternate interior, and alternate exterior angles formed when...
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Lesson Plan
Curated OER

Making Parallel Lines

For Teachers 8th - 10th
Students differentiate between parallel and perpendicular lines. In this geometry lesson plan, students make conjectures and apply it to solve real life situations. They collect data and make predictions based on the data.
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Lesson Plan
Curated OER

Proportional Segments Between Parallel Lines

For Teachers 9th - 12th
Students identify similar triangles.  In this proportional segments lesson, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle.  They use the parallel/proportionality conjecture to...
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Lesson Plan
Curated OER

Perpendicular Lines

For Teachers 3rd - 6th
In this perpendicular lines practice worksheet, students find and list examples of perpendicular lines at home, at school, and outside.
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Worksheet
Curated OER

The Slope of Parallel and Perpendicular Lines

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular.  Students determine the equation of lines that are either parallel or perpendicular to the given line.  The two...
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Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 9th - 10th
In this algebra/geometry activity, students investigate the slopes and equations of parallel and perpendicular lines.  The two page activity contains a combination of eleven multiple choice and free response questions.  Solutions are...

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