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GeoGebra Slider AA Similar Triangles

Resource:
GeoGebra Slider AA Similar Triangles

Slider that shows 2 similar triangles formed by parallel lines and 2 transversals.  The focus is on the vertical angles and the alternate interior angle pairs.

All Resources From:
• Unit 3

Similarity and Proof

GeoGebra Slider that represents complementary and supplementary angle pairs

Resource:
GeoGebra Slider that represents complementary and supplementary angle pairs

Slider allows for the segment/ray length to change in order to see the relationship/lack of relationship between angle measures and ray lengths.

All Resources From:
• Unit 2

Proofs about Congruence

GeoGebra Slider that shows the sum of the interior angles of a triangle equal 180 degrees

Resource:
GeoGebra Slider that shows the sum of the interior angles of a triangle equal 180 degrees

Slider shows that all 3 angles in a triangle add to 180 degrees.  Can be used to classify triangles as acute, obtuse, right, scalene, isosceles, equilateral.  Can be used to analyze angle side relationships.

All Resources From:
• Unit 2

Proofs about Congruence

GeoGebra Visual of Reflex and "Non-Reflex" Angles

Resource:
GeoGebra Visual of Reflex and "Non-Reflex" Angles

Sliders that demonstrate angle measures (Reflex and "Non-Reflex" angles) independent of ray length.

All Resources From:
• Unit 2

Proofs about Congruence

Inscribing a Triangle in a Circle

Resource:
Inscribing a Triangle in a Circle

This problem introduces the circumcenter of a triangle and shows how it can be used to inscribe the triangle in a circle. It also shows that there cannot be more than one circumcenter.

All Resources From:
• Unit 7

Circles

Right Triangles Inscribed in Circles 1

Resource:
Right Triangles Inscribed in Circles 1

This task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle with one side of the triangle a diameter: the fact that these triangles are always right triangles is often referred to as Thales' theorem. It does not have a lot of formal prerequisites, just the knowledge that the sum of the three angles in a triangle is 180 degrees.

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• Unit 7

Circles

Right Triangles Inscribed in Circles 2

Resource:
Right Triangles Inscribed in Circles 2

The result here complements the fact, presented in the task ''Right triangles inscribed in circles I,'' that any triangle inscribed in a circle with one side being a diameter of the circle is a right triangle. A second common proof of this result rotates the triangle by 180 degrees about M and then shows that the quadrilateral, obtained by taking the union of these two triangles, is a rectangle.

All Resources From:
• Unit 7

Circles

Slider that demonstrates Angle-Side-Side triangles

Resource:
Slider that demonstrates Angle-Side-Side triangles

Slider that can visually show the different possible triangles that exist if trying to use Angle-Side-Side.

All Resources From:
• Unit 2