**Q1: **

The lengths of the sides of the right triangle shown in the figure are 3, 4, and 5. Find the areas of the squares on the three sides, and find a relationship between them.

- A area of the square on the hypotenuse (25) sum of the areas of the squares on the legs
- B area of the square on the hypotenuse (25) > sum of the areas of the squares on the legs
- C area of the square on the hypotenuse (25) < sum of the areas of the squares on the legs
- D area of the square on the hypotenuse (25) = sum of the areas of the squares on the legs

**Q2: **

Consider the identity . We can use this to derive two new identities.

First, divide both sides of the identity by to find an identity in terms of and .

- A
- B
- C
- D
- E

Now, divide both sides of the identity through by to find an identity in terms of and .

- A
- B
- C
- D
- E

**Q3: **

The figure shows a unit circle and a radius with the lengths of its - and -components. Use the Pythagorean theorem to derive an identity connecting the lengths 1, , and .

- A
- B
- C
- D
- E