The topic Congruent segments appears under the 7th grade (U.S.) Math Mission. This exercise measures lengths on a number line and determines if segments are congruent.
Types of Problems
There is one type of problem in this exercise:
- Tell whether the segments are congruent: This problem has a number line with four labeled points. The student is asked to determine whether the segments AB and CD are congruent.
Strategies
Knowledge of absolute value representing length reinforces the idea of this problem, but is not necessary to complete it. Visual reasoning can increase efficiency.
- The length of a segment is the absolute value of the difference of it's endpoints.
- Two segments are congruent if they have the same length.
- The segments AB and CD do not overlap, so there is no need to worry about "cancelled" out length.
- Observation can sometimes determine if the segments are congruent or not without any calculation.
Real-life Applications
- Architects use lots of geometry when building bridges, roofs on houses, and other structures.
- The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.