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Activity
Maths Challenge

Maths challenge.net: Right Triangle Equal Parts

For Students 9th - 10th Standards
A geometry proof problem involving a right triangle and finding angles of equal measure.
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Activity
Maths Challenge

Maths challenge.net: Tick Tock Triangle

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior knowledge of probability is required to solve this "Tick Tock Triangle" problem, have fun!
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Unit Plan
Cuemath

Cuemath: Triangle Inequality Theorem

For Students 9th - 10th
This lesson explores triangle inequality theorem, triangle inequality theorem-proof, and triangle inequality theorem problems. Try the hands-on triangle inequality theorem calculator and interactive problems to have a better...
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Unit Plan
Cuemath

Cuemath: Midsegment of a Triangle

For Students 9th - 10th Standards
This mini-lesson explores the world of the midsegment of a triangle by finding the answers to questions like what is midsegment of a triangle, triangle midsegment theorem, and proof with the help of interactive questions.
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Unit Plan
Cuemath

Cuemath: 30 60 90 Triangle

For Students 9th - 10th
In this lesson, learn all about the 30-60-90 triangle. Learn about its sides, its area, and the rules that apply to these triangles. Includes simulations and practice questions.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Inscribed Similar Triangles

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Apply the fact that the altitude of a right triangle creates similar triangles.
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Interactive
Mangahigh

Mangahigh: Shape: Proof of the Sum of the Angles in a Triangle

For Students 9th - 10th Standards
Determine that all angles in a triangle equal 180 degrees.
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Interactive
Mangahigh

Mangahigh: Shape: Proof of the Exterior Angle Theorem for a Triangle

For Students 9th - 10th Standards
Use your knowledge of exterior angles of a triangle to prove the theorem.
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Activity
Maths Challenge

Maths challenge.net: Circumscribed Triangle

For Students 9th - 10th Standards
Find the area of this circumscribed triangle with your geometry skills.
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Activity
Maths Challenge

Maths challenge.net: Triangle in a Square

For Students 9th - 10th Standards
A "three star" geometry problem requiring some prior knowledge in math and proofs to maximize the area of an inscribed triangle in terms of the hypotenuse.
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Activity
Maths Challenge

Maths challenge.net: Shaded Triangle

For Students 9th - 10th Standards
A great geometry problem of area, encorperating many learned skills.
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Lesson Plan
Science Buddies

Science Buddies: Inscribing a Circle in a Triangle Using the Geometry Applet

For Teachers 9th - 10th
Here is a project that combines Computer Science and Mathematics. Prove a method for inscribing a circle within a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that...
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Lesson Plan
Science Buddies

Science Buddies: Circumscribing a Circle About a Triangle

For Teachers 9th - 10th
Here is a project that combines Computer Science and Mathematics. Prove a method for circumscribing a circle about a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet...
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Lesson Plan
Science Buddies

Science Buddies: Tangent Circles and Triangles

For Teachers 9th - 10th Standards
Here is a project that combines Computer Science and Mathematics. The two circles are tangent to one another at point A. Their diameters are parallel. Prove that points A, D and F are co-linear. You'll also learn how to create an...
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Lesson Plan
Science Buddies

Science Buddies: Circles, Tangent Lines and Triangles

For Teachers 9th - 10th Standards
Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive...
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Handout
Jim Loy

Jim Loy's Mathematics Page: Congruence of Triangles

For Students 9th - 10th Standards
Find explanations of the ways to prove triangles are congruent. There is a link for Congruence Of Triangles, Part II to find the proofs of some ways to prove congruence of triangles from other postulates (i.e. Assume SAS prove ASA).
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Handout
Oswego City School District

Regents Exam Prep Center: Theorems and Postulates for Geometry

For Students 9th - 10th Standards
Here is a partial list of theorems, postulates, and properties.
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Website
Other

Antonio Gutierrez: Geometry From the Land of the Incas

For Students 9th - 10th
Discovering the properties of constructions, seeing proofs in action, and viewing problems come to life here with this wonderful use of technology in the classroom. Single steps are explained and illustrated one at a time so that the...
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Activity
Maths Challenge

Maths challenge.net: Leaning Ladders

For Students 9th - 10th Standards
Use your right triangle solving skills to solve this ladders in a hole problem.
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Activity
Maths Challenge

Maths challenge.net: Perpendicular Construction

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this "Perpendicular Construction" problem.
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Activity
Maths Challenge

Maths challenge.net: Right Angle Reasoning

For Students 9th - 10th Standards
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
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Activity
Maths Challenge

Maths challenge.net: Measuring Mountains

For Students 9th - 10th Standards
Use your triangle solving skills to solve this triangle problem and then apply it to the real world.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
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eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 1.7 the Pythagorean Theorem

For Students 9th - 10th Standards
Explore and discover the Pythagorean theorem.

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