What do we know without labels or symbols? What types of information require us to have labels or symbols?
See solution.
Practice makes perfect
The examples we bring up are just a few things that can or cannot be assumed.
What Can Be Assumed
You can always assume that objects are as they appear. Points are represented as points, and lines are represented as lines. For example, a line can be assumed to be straight and not an ever so slightly bent curve. Also, if it looks like two or more points all lie on a line, this can also be assumed. Math is not about being sneaky, it's about being precise.
What Can Never Be Assumed
Measures, such as slope, should never be assumed. For example, we can never assume that two lines are either perpendicular or parallel even though they might appear that way. We need information or symbols that actually tell us when lines are parallel or perpendicular.
