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EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Curated OER
My Angle on Cooling
Students explore how the angle and distance of an object can change it's temperature. After reviewing how the position of the Earth affects the temperature of the planet, student groups design and perform an experiment to test how...
Curated OER
Determine the Measure of an Angle of a Right Triangle.
In this geometry worksheet, students solve word problems by finding the values of missing angles and missing sides of triangles. They review their trigonometric properties of a right triangle. There are 9 problems with an answer key.
Curated OER
Geometric Shapes and Angles
In this geometry instructional activity, 10th graders review polygons and solve for the missing angles of trapezoids and isosceles triangles. There are 10 questions on this instructional activity with an answer key.
Curated OER
Right Triangle Trigonometry: Evaluating Trigonometric Ratios
In this right triangle trigonometry instructional activity, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page instructional activity...
Curated OER
Proving Quadrilaterals
In this geometry worksheet, 10th graders identify the missing angles using the polygons sum conjecture. They measure exterior and interior angles using their angle theorems. There are 63 problems.
Curated OER
Classifying Angles
In this classifying angles worksheet, 10th graders solve and complete 35 various types of problems. First, they match each type of angle with its correct description. Then, students determine whether the given lines or planes are...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Curated OER
Polygon Sum Conjecture
In this geometry activity, 10th graders identify the missing angles using the polygons sum conjecture. They measure exterior and interior angles using their angle theorems. There are 63 problems.
Hotchalk
Triangle Sum Theorem
Your visual geometry learners will appreciate triangle drawings as they model the triangle sum theorem and algebraically solve to find the missing interior angle in a triangle. Practice problems increase in complexity and vary in their...
Curated OER
Missing Measures: Intersecting Lines 2
On a four-page handout that contains 16 multi-step problems, pupils compute the value of various alternate, complementary, and supplementary angles created by intersecting lines and transversals. Answers are provided on the last two...
Curated OER
Trigonometric Triangles
In this trigonometry activity, students find the missing angle and sides given the 6 trigonometric values. There are 6 questions with an answer key.
Curated OER
Special Segments in a Triangle
In 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...
Curated OER
Area Measures and Right Triangles
Your class will investigate the relationship among different triangles. This geometry instructional activity, demonstrates how to make a connection between triangles and the Pythagorean Theorem. They identify the missing side or angle of...
Curated OER
Volume of Solids
For this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of...
Radford University
Developing a Trigonometry Phone App
What's one more app? After reviewing how to calculate missing side lengths or angle measures in a right triangle, pupils create instructions for a phone app to do all of the tedious work. They must consider all nine cases of known...
Curated OER
Right Triangle Trigonometry
In this trig worksheet, 12th graders identify the angles of a tight triangle using sine, cos and tan combined with the given sides. There are 23 problems broken down in 4 sections.
Curated OER
Using Trigonometry to Find Lengths
In this trigonometry worksheet, students use trigonometric ratios to find the length of a missing side. This four-page worksheet contains 18 multi-step problems. Answers are provided on the last two pages of the worksheet.
Curated OER
Kuta Software - Infinite Geometry: Similar Triangles
In this similar triangles learning exercise, high schoolers solve 20 short answer problems. Students determine if two given triangles are similar. High schoolers determine the type of similarity given two triangles. Students are...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
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;...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...