**Q1: **

The Pythagorean theorem states that, in a right triangle, the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. Does this mean that a triangle where is necessarily a right triangle?

Let us assume that is of side lengths , , and , with . Let be a right triangle of side lengths , , and .

Using the Pythagorean theorem, what can you say about the relationship between , , and ?

- A
- B
- C

We know that for , .

What do you conclude about ?

- A
- B
- C

Is it possible to construct different triangles with the same length sides?

- Ayes
- Bno

What do you conclude about ?

- AIt is congruent to , so it has a right angle at .
- BIt is congruent to , so it has a right angle at .
- CIt is similar to , so it has a right angle at .
- DIt is similar to , so it has a right angle at .
- EIt is congruent to , so it has a right angle at .

**Q2: **

What can the converse of the Pythagorean theorem be used for?

- Afinding the angles in a triangle
- Bfinding lengths in an equilateral triangle
- Cdemonstrating that a triangle is equilateral
- Ddemonstrating that a triangle has a right angle
- Edemonstrating that a triangle is an isosceles triangle

**Q9: **

In triangle point lies on and , , , and . Find the length of to the nearest tenth, and then determine whether is a right triangle or not.

- A , a right triangle
- B , not a right triangle
- C , a right triangle
- D , not a right triangle

**Q10: **

In triangle point lies on and , , , and . Find the length of to the nearest tenth, and then determine whether is a right triangle or not.

- A , a right triangle
- B , not a right triangle
- C , not a right triangle
- D , a right triangle

**Q14: **

In triangle , let on be the foot of the altitude from . If , , and , is right triangle at ?

- Ano
- Byes

**Q15: **

In triangle , let on be the foot of the altitude from . If , , and , is right triangle at ?

- Ayes
- Bno

**Q16: **

In triangle , let on be the foot of the altitude from . If , , and , is right triangle at ?

- Ano
- Byes