Illustrative Mathematics
Right Triangles Inscribed in Circles I
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Curated OER
Exploring Angles
For this exploring angles worksheet, 10th graders solve 12 various types of problems that are related to measuring various angles. First, they name the vertex of an angle and determine whether it appears to be acute, obtuse, right, or...
Curated OER
Angle Insolation
In this science worksheet, students look for the answers that are related to the concept of insolation and measuring different angles.
Curated OER
Inscribed Angles
In this inscribed angles worksheet, 10th graders solve 11 different problems that are related to determining the measurement of various inscribed angles. First, they name the intercepted arc for an angle, the inscribed angle, and the...
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Curated OER
Geometry Chapter 7 Practice Test
In this geometry worksheet, 10th graders review problems that review a variety to topics relating to right triangles, including, but not limited to the Pythagorean Theorem, simplifying radicals, special right triangles, and right...
Curated OER
Trigonometry
For this geometry worksheet, 10th graders solve problems that are based on the right triangle trigonometry and the special right triangles. The three page worksheet contains twelve questions. Answers are not included.
Curated OER
Understanding Categories of Shapes
What are these shapes? Here are four shapes with some common attributes: they each have four parallel sides and four vertices. Scholars identify a rectangle, rhombus, square, and quadrilateral. Because there is an explanation written...
Curated OER
Basic Trigonometric Ratios
In this trigonometric ratio worksheet, learners determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...
Curated OER
Indirect Proof and Inequalities in one Triangle
In this geometry worksheet, 10th graders complete an indirect proof and order the sides or angles of a triangle. Also, students determine if a triangle can have sides with the given lengths. The two page worksheet contains twelve...
Curated OER
Logical Relationship of Postulates & Theorems
In this postulates and theorems worksheet, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram. They use the concept map to prove theorems dealing...
Curated OER
Special Triangles and Quadrilaterals
In this special triangles learning exercise, students examine given special triangles. They determine the length of a missing side and/or the measurement of a missing angle for given triangles and quadrilaterals. Students justify their...
Curated OER
Classifying Triangles
In this classifying triangles activity, 10th graders solve 9 various problems that classify triangles into categories. First, they refer to the figure shown of an isosceles triangle with two line parallel. Then, students name the sides,...
Curated OER
Tangent
For this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
Curated OER
Geometric Figure Quiz
In this geometric figure instructional activity, students answer 10 multiple choice questions about geometric figures. Students find missing angles, interior angles, properties of polygons, etc.
Curated OER
Symmetry in Paper Airplanes
Students explore symmetry. In this geometry and scientific inquiry instructional activity, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles. Students measure the plane's angles using...
Curated OER
Parallelograms
In this parallelograms worksheet, 10th graders identify and describe a quadrilateral, a diagonal, and a parallelogram in 7 different problems. First, they find the values of x, y, and z in each quadrilateral to prove that it is a...
Curated OER
Area of Parallelograms
In this area of parallelograms worksheet, 10th graders solve 9 different types of problems related to finding the area of a parallelogram. First, they find the area of each figure or shaded region, assuming that angles that appear to be...
Curated OER
Trigonometric Ratios
In this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
Mt. San Antonio Collage
Isosceles Triangles and Special Line Segments
Under which conditions can a triangle be classified as isosceles? High schoolers practice identifying isosceles triangles and special line segments, including angle bisectors, medians of triangles, and perpendicular bisectors of sides of...
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...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Curated OER
Archimedes
In this Archimedes instructional activity, students complete and respond to 4 different problems related to different triangles. First, they find the midpoint of each side of a given triangle. Then, students connect the midpoints with...