I'm a bit confused on what the difference is between congruent and parallel. If a line is congruent (same) wouldn't that also make them parallel? like a square has all sides that are parallel but they are also congruent because they are all the same right... am I making any sense?
take a kite for example there are 2 paris of congruent lengths, but they are obviously not parallel. hope that helps
two lines can be both congruent and parallel ... but most the time this isn't the case
"_ |": congruent [I guess] but not parallel
"| |" both congruent and parallel
Yes, you're making sense! Congruent and parallel are related concepts but they have different meanings in geometry.
Congruent refers to objects (such as line segments or angles) that have the same size or measure. In other words, when two line segments or angles are congruent, it means they are equal in length or measure. For example, if two line segments are congruent, it means they have the same length.
On the other hand, parallel lines are lines that never intersect. They are always the same distance apart and they have the same direction. Parallel lines can be congruent if they have the same length, but they can also have different lengths and still be parallel.
Let's take your example of a square. A square has four sides that are congruent, meaning all the sides have the same length. So yes, the sides of a square are congruent. But the sides of a square are also parallel because they never intersect and they have the same direction. So in the case of a square, the sides are both congruent and parallel.
However, it's important to note that congruent objects are not always parallel. For example, two different line segments can be congruent without being parallel, if their orientations are different. So while congruence and parallelism often go together, they are not the same thing.