Jesuit High School
Geometry Sample Problems
I'd like to prove that this instructional activity has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the instructional activity is some practice problems...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
West Contra Costa Unified School District
Investigating Special Right Triangles
Scholars first investigate relationships in the side lengths of 30°-60°-90° triangles and 45°-45°-90° triangles. This knowledge then helps them solve problems later in the lesson about special right triangles.
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
EngageNY
Special Lines in Triangles (part 2)
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
EngageNY
Properties of Parallelograms
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
EngageNY
Definition of Reflection and Basic Properties
Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.
Virginia Department of Education
Properties of Quadrilaterals
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
Mathematics Vision Project
Module 2: Congruence, Construction and Proof
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
Curated OER
Circle Graphs
In this circle graphs worksheet, students solve and complete 8 different problems that include word problems referring to two different circle graphs shown. First, they follow the directions for each problem and complete the table that...
Curated OER
Proofs
In this geometric proof worksheet, students compose 20 triangle congruency proofs. Students will decide if there is enough information in problems 1-6 to prove if any triangles are congruent. In problems 17 to 20, students use given...
Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Ladybug Math
Students count the number of spots on ladybug wings. They add to find total number of spots on ladybug cut outs and complete the associated worksheet. They write ladybug addition story problems.
Curated OER
Antonyms 1 Level 8
Intermediate and advanced English language learners will benefit from reviewing some of these words. For each of the 10 words provided, learners have to select the antonym from a list of five choices. Example words include agony,...
Curated OER
Constructing Perpendicular Bisectors
Tenth graders investigate parallel lines and the angles formed when cut by a transversal. In this geometry lesson plan, 10th graders construct perpendicular lines and discuss midpoint, segments and perpendicular bisectors. They relate...
Curated OER
Compass Rose
Students describe the movement of the Earth as it relates to the sun. They construct a permanent compass rose and use it to find directions.
Curated OER
Properties of Quadrilaterals
In this properties of quadrilaterals worksheet, students use the properties of quadrilaterals to find the perimeter, angle measurement or length of a missing side of a given polygon. Examples and explanations of the properties are...
Curated OER
Chords of Circle
In this geometry worksheet, 10th graders solve problems using parallel chords, perpendicular bisectors and chords that are equal distance from the center.
Curated OER
Contructions and Conjectures
Students make constructions and conjectures. In this geometry lesson, students construct right, acute and obtuse angles using a straight edge and a protractor. They investigate parallel lines and the angles formed by the angles.
Curated OER
Diagonals of Quadrilaterals
Teach your mathematicians how to identify different polygons based on their diagonals. Relating quadrilaterals to the different number of diagonals formed, high schoolers use the TI to create a visual of their shape.
Curated OER
Congruent Chords, Parallel chords and Perpendicular Chords
In this geometry worksheet, students solve problems about congruent, parallel, and perpendicular chords and bisectors. There are 9 problems with an answer key.
Curated OER
Parallel and Perpendicular Line Construction
In this geometry worksheet, students construct parallel and perpendicular lines given a straight edge and a compass. Their lines pass through a given point. There are 4 questions with an answer key.
Curated OER
Line Construction
For this geometry worksheet, students construct perpendicular and parallel lines through a given points using a straightedge and a compass. There are 5 questions with an answer key.
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