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Cosine
In this cosine activity, 10th graders solve 10 different problems that include various measures of angles. They determine the value of x in each problem using the cosine of the given angle. Then, students substitute the answer they found...
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Triangles
In this triangle activity, students observe pictures of triangles. They name the triangles according to the length of their sides. Twelve right, equilateral and isosceles triangles are provided for identification on this one-page...
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Right Triangles
In this right triangles learning exercise, 10th graders solve 5 problems that relate to different right triangles. First, they find the values of x and y so that each triangle is congruent to the other. Then, students write a two-column...
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Trigonometry Ratios in Right Triangles
In this trigonometry ratios in right triangles worksheet, 10th graders solve 6 different right triangle problems. First, they find the values of x and y in each triangle, rounding each to the nearest tenth. Then, students locate the...
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Parts of Similar Triangles
In this parts of similar triangles learning exercise, 10th graders solve 6 different problems related to determining the value of various parts of similar triangles. First, they find the value of x in the 2 figures shown. Then, students...
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Geometric Mean and the Pythagorean Theorem
In this geometric mean and the Pythagorean Theorem worksheet, 10th graders solve 16 different problems that determine the geometric mean of numbers by applying the Pythagorean Theorem. First, they find the geometric mean between each...
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Special Right Triangles
In this special right triangles worksheet, 10th graders solve 9 different problems related to measuring various types of right triangles. First, they find the values of x and y in each right triangle shown. Then, students find the length...
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Geometric Mean and the Pythagorean Theorem
In this geometric mean and Pythagorean Theorem instructional activity, 10th graders solve 9 problems related to determining the geometric mean by applying the Pythagorean Theorem in each problem. First, they find the geometric mean...
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Special Right Triangles
In this special right triangles worksheet, 10th graders solve 7 various problems with various types of right triangles. First, they identify the two special types of right triangles, the 45-45-90 degree triangle and the 30-60-90 right...
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Trigonometry Ratios in Right Triangles
In this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...
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Right Triangles
In this right triangles worksheet, 10th graders solve 6 various problems and figures related to right triangles. First they identify and describe the 3 theorems and 1 postulate stated that prove 2 right triangles congruent if one of them...
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Circumference and Area
In this circumference and area activity, 10th graders solve nine problems relating to geometric shapes. They find the circumference of a circle and the perimeter of a triangle and a six-sided figure. Students also find the area of a...
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Right Triangle Stuff
In this right triangle activity, students use trigonometric ratios to find the hypotenuse, right angle, opposite leg and angles. This one-page activity contains eight problems. Answers are provided at the bottom of the page.
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Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
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Plenty of Pythagoras
Using a twelve foot knotted rope, students form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
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Pythagorean Theorem
Students are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
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Right Triangle Geometry
Students study the basic principles of right triangle geometry needed to solve for unknown values of a right triangle. They apply and master the principles of right triangle geometry by solving problems.
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Special Right Triangles
In this right triangles worksheet, 10th graders solve and complete 16 various types of problems. First, they find the missing side lengths in each illustration shown. Then, students place the letter of each problem on the lines at the...
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Sine
In this sine worksheet, 10th graders solve 10 different problems by determining the sine in each right triangle shown. They determine the sine of one point by applying the other points given in the problem.
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Geometry Puzzle
In this geometry puzzle worksheet, learners identify and complete a puzzle that includes 7 different geometrical shapes. They identify and name each shape listed at the bottom. Then, students label every shape in the puzzle with the...
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Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
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Calculating the shortest distance between two points
Eighth graders find the length of the third side of a right triangle.