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.
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Geometry Accelerated
Accelerated Geometry Review Sheet
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
Curated OER
Special Segments in a Triangle
For this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or segment. ...
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Special Segments in Triangles
Students identify important properties of triangles. In this geometry instructional activity, students differentiate between medians, bisectors and altitudes in a triangle. They identify the properties of these important segments.
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Simplifying Expressions
In this simplifying expressions instructional activity, 11th graders solve and complete 44 various types of problems. First, they solve for the given variable in each equation. Then, students simplify each expression and factor...
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The Relationship Between Slope and Perpendicular Lines
In this perpendicular lines activity, students explore the relationship between perpendicular lines and slope in eight exercises and two worked examples. The solutions are provided.
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Circumcenter of a Triangle
Your geometry learners will discover and show the construction of the circumcenter of a triangle. Guided by the steps in the activity, they construct perpendicular bisectors of each side that have a point of concurrency called the...
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Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they prove...
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...
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Special Segments is a Triangle
In this geometry worksheet, 10th graders examine the special segments that occur in a triangle. The three page worksheet contains twenty-five problems. Answers are not included.
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A Perpendicular Pilgrimage
Ninth graders design a safe passage through a 2-D obstacle. In this geometric math instructional activity, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students...
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The Center of a Circle
For this center of the circle worksheet, 10th graders solve 5 different center of the circle measurements. First, they draw a circle and add two points on it. From there, students construct a line segment and a midpoint on the line...
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Studying Special Segments in Triangles
Learners investigate special segments in triangles. In this geometry lesson, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
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Constructing Perpendiculars
Learners construct perpendicular lines. In this geometry lesson, students use a compass and straight edge to do construction. They start from a point to a line.
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
EngageNY
Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
Curated OER
Triangles
In this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
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Geometric Construction
Seventh graders investigate some concepts associated with geometric shapes. They study the bisector segment and the perpendicular line to a given line. Students conduct analysis with the goal of deepening observation and deduction...
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Angle Measurement
In this angle measurement instructional activity, 10th graders solve 24 different problems related to determining the measurement of various angles. First, they define the various ways to measure an angle and define the type of angle...
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Angle Measurement 2
In this angle measurement worksheet, 10th graders solve 24 problems that include determining the measurement of various angles. First, they define each angle and the specific type that is shown in each. Then, students determine the...