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Inscribed Right Triangles

Inscribed Right Triangles

1.

Are A-C-D collinear?

2.

What is the relationship of AD to the circle? Explain.

3.

What is the relationship of AD to ABD? Explain.

4.

What is the relationship between the hypotenuse and the diameter of the circle?

7.

Grab and move point B around the circle.

6.

Does the measure of <ABD change?

7.

Does the position of AD change?

8.

What can you conclude about any right triangle inscribed in a circle?

9.

Fill in the blank. If a triangle has one leg as the diameter, then it is a ___________ triangle.

10.

Extension Question: Given a right, triangle, what is the easiest way to find the center of a circumscribed circle?