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.
Corbett Maths
Perpendicular Through a Point on a Line
Use one construction to complete a second. The short video shows how to incorporate the steps of a perpendicular bisector to create a perpendicular to a point on a line. With their own straightedges and compasses, classmates then...
Corbett Maths
Perpendicular from a Line to a Point
Take steps in the right direction. With a short demonstration, a video shows the steps to construct a perpendicular from a line to a point. Using a protractor, the narrator confirms the resulting construction is perpendicular, and then...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
Flipped Math
Proving Lines Parallel
Show it can all be proved. Scholars learn the converses of the properties of parallel lines. Using the converses, pupils determine which lines are parallel based on angle measurements and practice using a flow proof to show that two...
EngageNY
Properties of Dilations
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
Curated OER
Angles and Lines: Calculate What Is Missing
In this angles and lines: calculate what is missing learning exercise, 6th graders look at four geometric shapes with some information given about angles and lines and calculate the measurements that are missing.
Curated OER
Geometry: Identifying Lines and Rays
In this geometry: identifying lines and rays worksheet, student answer six multiple choice questions identifying lines, line segments and rays.
Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
Corbett Maths
Perpendicular Bisector
Where should the statue be located? The resource explains how to use a compass and straight-edge to construct the perpendicular bisector of a line segment. Using an exam question, the narrator models how to solve an application problem...
Curated OER
Identify Lines, Line Segments, and Rays
Upper grade pupils identify diagrams, checking the appropriate box for each. A reference web site is given for additional activities.
Curated OER
Geometry: Basic Constructions
For this geometry worksheet, 10th graders use a straightedge and a compass to construct congruent segments and angles, bisect a segment and an angle, construct perpendicular and parallel lines, construct tangents, circumscribe a circle...
Curated OER
Constructing Parallel and Perpendicular Lines
For this geometry worksheet, students construct lines that are parallel and perpendicular forming different angles. They differentiate between interior and exterior angles. Students identify the angles formed by a transversal and...
Curated OER
Line, Line Segments, Ray and Points #2
In this geometry worksheet, students identify diagrams as either lines, line segments, rays or points, write the definition of each and match it to its diagram.
Curated OER
Geometry: Lines, Line Segments, Rays and Points
In this geometry instructional activity, students identify diagrams as either lines, line segments, rays or points, write definitions for each and match the diagrams to their definitions.
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 4
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Raytheon
Just Measure It
In this line segments and angles instructional activity, students solve problem solving problems and multiple choice questions about line segments and angles. Students complete 7 pages of problems.
Curated OER
The Ellipse
This is a practical sheet with the instructions to draw a set of ellipses. After following the diagrams, there are ten questions to complete, with calculations expected for alternate orbits and comparisons related to actual planets in...
Curated OER
Three- and Two- Dimensional Geometry
In this three- and two- dimensional geometry worksheet, 7th graders solve 12 various problems related to geometric shapes and measurement. They first use paper and a pencil to sketch the front, side, back, top and bottom views of each...
Curated OER
Calculate Missing Angles and Line Lengths
In this problem solving worksheet, students calculate the missing angles and lengths to 4 different shapes. Students place their answers in the boxes provided.
Curated OER
Calculate Missing Angles and Line Lengths
In this missing line length and missing angles worksheet, students find measures of missing angles and find missing lengths. A reference web site is given for additional activities.
Curated OER
Line, Line Segments and Rays
In this geometry worksheet, learners identify items as either lines, line segments or rays by checking the appropriate box beneath each figure.
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...