Math Mammoth
Construct Line Segments and Angles
In this math worksheet, learners are asked to used a compass and straight edge to construct copies of shapes, angles and line segments.
Curated OER
Properties of Angles, Lines, and Triangles
In this properties of angles, lines and triangles worksheet, 10th graders solve and complete 28 different problems that include determining the measurement of various figures shown. First, they use the geometric properties and theorems...
Curated OER
Parallel and Perpendicular Lines
Tenth graders explore parallel and perpendicular lines. In this geometry instructional activity, 10th graders investigate the relationships associated with parallel lines and transversals, perpendicular lines, and the angles formed by...
Curated OER
Basic Compass and Ruler Construction: Line Segment
In this construction worksheet, learners utilize a compass and a ruler to reconstruct a line segment and to combine two line segments together in 2 questions.
Curated OER
Identifying Lines of Symmetry and Creating Reflections over a Line
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine, two-hour...
Curated OER
Construct, Bisect, Duplicate: Geometry Practice with Compass and Straight Edge
Geometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...
Curated OER
Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Curated OER
Exploring and Using Shapes to Make a Dance
Second graders use their bodies to create various shapes to make a dance when given various music and beats. In this shapes and dance lesson plan, 2nd graders create lines, curves, twists, and angles with their bodies.
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons is broken...
Curated OER
Congruent Figures
In this problem solving worksheet, 4th graders study 4 lines of shapes. Students determine which multiple choice shape on the right is congruent to the one on the left of the straight line.
Curated OER
Proofs Chapter 2: Geometry
In this geometry activity, students look at given pictures and prove congruent lines and angles. This three-page activity contains nine multi-step problems.
Curated OER
Are We the Same?
Students define and discuss symmetry, line of symmetry, and congruency. They cut shapes out of construction paper, identify the line of symmetry, and if they are symmetrical and/or congruent.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Virginia Department of Education
Side to Side
Congruent figures: two figures that want to be just like each other. Individuals learn to distinguish between figures that are congruent and those that are not. Measuring the lengths of line segments and angles helps in this endeavor.
Virginia Department of Education
Constructions
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
Charleston School District
Constructing Reflections
An informative video and handout provide the basic information needed to reflect any pre-image across either of the axes on the coordinate plane. The printed resource provides a preview of reflecting across lines other than an axis....
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency, and...
Academic Magnet High School
Parallel Lines Proofs Practice
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.
Curated OER
Dividing Line Segments into n Congruent Parts
Young scholars identify lines, and line segments. In this geometry lesson, students divide line segments into equal congruent parts. They complete a laboratory activity dealing with lines and segments.
Curated OER
Proving Lines Parallel
In this proving lines parallel worksheet, 10th graders solve 10 different types of problems that prove that various lines are parallel to each other. First, they find the value of x so that line a is parallel to line b. Then, students...
Curated OER
Proving Lines Parallel Multiple Choice
In this geometry worksheet, learners identify parallel lines, examine and interpret diagrams, and find the value of corresponding angles and lines. This one-page worksheet contains 6 multiple-choice problems. Answers are provided on...
Curated OER
Line Symmetry
Students investigate the concept of line symmetry and how to recognize it in different contexts. They record the number of symmetries when given problems to work on in class. They review the concept of congruence and how it relates to...