1 - 20 of 264 results
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Title
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Subject |
Grade
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A Carpenters Trisection
Explain whether or not the given method of trisecting an angle, using
only a carpenter's square, really works.
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Geometry
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6th to 8th, High School
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A Circle Inscribed in an Isosceles Triangle
Find the radius of a circle inscribed in an isosceles triangle with
the given side lengths.
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Geometry
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High School
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A Gardening Puzzle
If a rectangular garden were 2 feet wider and 3 feet longer, it would
be 64 square feet larger. If it were 3 feet wider and 2 feet longer,
it would be 68 square feet larger. What are the dimensions of the
garden?
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Geometry
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6th to 8th, High School
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A Line of Reflection
Find the equation of the line of reflection for triangle ABC and its
image, A'B'C'.
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Geometry
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6th to 8th, High School
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A Minor Problem
A chord of a circle is one side of an equilateral triangle. The other
two sides of the triangle are radii of the circle. Find the length of
the minor arc subtended by the chord.
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Geometry
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6th to 8th, High School
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A Parallelogram Dissection
Cut the given parallelogram along the dotted lines and rearrange the
three resulting triangles to form what seems to be a square. What
needs to be true of the original figure in order for the resulting
figure to actually be a square?
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Geometry
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6th to 8th, High School
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A Picturesque Pythagorean Proof
Write a proof to go with this picture.
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Geometry
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High School
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A Quickie Triangle Puzzle
Find the length of the unknown side of this triangle using knowledge
of special right triangles.
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Geometry
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6th to 8th, High School
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A Rectangle Dissection
Cut the given rectangle into three pieces as indicated by the dashed
lines. Rearrange the pieces to form a square, and explain why the
resulting shape actually is a square.
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Geometry
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6th to 8th, High School
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A Tale of Two Transformations
Compare the results of these two transformations on the coordinate plane.
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Geometry
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6th to 8th, High School
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A Tangent Square and Circle
The square and circle below are tangent at one point and meet at four
other points, as shown in the picture. If the side of the square is 8
units long, what's the radius of the circle?
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Geometry
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High School
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A TriangleSquare Ratio
A square with side length s is inscribed in an equilateral triangle of
side length t. Find the ratio of (t/s), accurate to four places to
the right of the decimal.
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Geometry
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6th to 8th, High School
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A Triangular Garden
Cynthia has two pieces of garden edging. One is 8' long and the other
is 6'. Will a third side of 12' or 11' make a triangle with a larger
area?
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Geometry
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6th to 8th, High School
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Added Areas
A circle and an isosceles triangle are inscribed in a square. If the
areas of the three figures added together is 28 square units,
what's the edgelength of the square?
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Geometry
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6th to 8th, High School
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All Around the World
If a wire wrapped around the equator of the Earth is lengthened, how
far above the surface of the Earth would the wire now be
if lifted off the surface an equal distance all the way around?
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Geometry
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6th to 8th, High School
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An Inscribed Circle
A circle is inscribed in a triangle with sides of 6, 6, and 4. What's
the radius of the circle?
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Geometry
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6th to 8th, High School
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Analyzing Angles
Given some information about angles in a picture, figure out some of
the angle measures.
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Geometry
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6th to 8th, High School
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Another Ambiguous Angle
Given isosceles triangle ABC, with BE perpendicular to AD. If angle
ACB is x, what is angle CBE?
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Geometry
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6th to 8th, High School
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Ants Marching
Traveling along the edges of a cross section of the cube, find the
length of the shortest possible path from one corner of a cube to the
opposite corner, as well as the longest possible path between the same
corners.
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Geometry
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6th to 8th, High School
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Approximating Pi
Approximate the value of pi using polygons instead of a circle.
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Geometry
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6th to 8th, High School
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1 - 20 of 264 results
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