The correct triangles in this selection will have a base and a height that are perpendicular to each other. The base is any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex (or to the line containing the opposite side for obtuse triangles).

Now, analyzing the descriptions:

1. Triangle with 1 side labeled base and line extending from base to line indicating length of triangle is labeled height.

   • This does not specify if the line is perpendicular to the base, so this labeling might be incorrect.

2. Triangle with 1 side labeled base and a line perpendicular to base extending length of triangle is labeled height.

   • This description seems correct because the height is defined as being perpendicular to the base.

3. Triangle with 1 side labeled base and a line perpendicular to base extending length of triangle is labeled height.

   • This is essentially a repetition of the previous description, so it is also correct.

4. Triangle with 1 side labeled base and line perpendicular to base extending to adjacent side is labeled height.

   • This is correct because the height is perpendicular to the base and extends to the adjacent side, which aligns with the definition of height in a triangle.

5. Triangle with 1 side labeled base and a line perpendicular to base extending length of triangle is labeled height.

   • This is another repetition of a correct labeling.

6. Triangle with 1 side labeled base and a line perpendicular to base extending length of triangle is labeled height.

   • Again, this repeats the correct description.

Correctly labeled triangles:

• 2, 3, 4, 5, and 6

Would you like further details on why these descriptions are correct or incorrect?

Here are 5 questions to expand on this information:

1. What happens if the triangle is obtuse? How is the height drawn?
2. Can any side of a triangle be labeled as the base?
3. How does the height change if the base is one of the non-parallel sides in a right triangle?
4. How is the area of a triangle calculated using the base and height?
5. How would the labeling change for an equilateral triangle?

Tip: Always remember, the height of a triangle is the perpendicular distance from the base to the opposite vertex or side.