Unit 3 Real-World Relevance
The following section contains connections from the topics we learned to the real world.
Lesson 1
Lighthouse: The first lesson pertained to a multitude of types of triangles and properties of these triangles along with angle relationships. The picture to the left indicates a right triangle. This is a real world example of how the correct,exact angle must be formed in order to give the boat substantial lighting to keep going. This is very important as many ships get shipwrecked at night because they lose the ability to see at night. However, by using angle relationships in triangles to coordinate the angle of the lighthouse light to the ship, this will be avoided as much as possible.
Lesson 2
Truss Bridge: The second lesson contained triangle congruencies and the different ways to prove a triangle congruent. There are 5 ways including SAS, SSS, ASA, AAS, & HL. The picture to the left indicates multiple equilateral triangles. This compilation of equilateral triangles has created what is known as a truss bridge. These triangles are all congruent by SSS because the point of a truss bridge is to have equal,weight controlling lengths to keep the structure up and keep it from falling down. A truss bridge is a real world example of SSS congruency triangles.
Lesson 3
Geodesic Dome: The third lesson portrayed an elaboration on the ways to prove triangles congruent and congruent triangles. The picture to the left indicates a piece of common playground equipment. This is a real world example of how the necessary angles and side lengths must be created and that they must be congruent to the other triangles. This is very important as many children play on these contraptions and one miscalculation in terms of angle or side length or congruence to the other triangles could be fatal to a child. However, by using angle relationships in triangles to have the plentitude of isosceles triangles be congruent by ASS, this will have a much lower chance to occur.
Lesson 4
Buildings: The two identical buildings to the left side is a real world example of what we did in lesson 4 which was a continuation of the last couple of lessons. The two triangles on the front-facing faces of the buildings are both congruent! By utilizing congruent triangles the buildings create a nice work atmosphere(office buildings), a protection system from the sun by reflecting off opposite triangular faces, or even a popular tourist attraction. This is an example of triangle congruence in the real world- identical buildings.
Lesson 5
Skyscraper: The fifth lesson taught the concept of CPCTC(Corresponding Parts of Congruent Triangles are Congruent). This is another tool to use when proving that triangles are congruent. The picture to the left is a skyscraper. Since in order to make the structure able to stand, you must have congruency, all the triangles in the picture are congruent. In addition, when a builder is making this building, the congruency of the triangles on the building help make calculations and make sure that this will stay up and not fall. CPCTC is shown in the real world by skyscrapers.
Lesson 6
Shadow: The sixth lesson taught medians, altitudes, and mid segments. The picture to the right is a cartoon example of an everyday occurrence- your shadow. This is an example of an altitude! Since the definition of an altitude is the perpendicular distance from any vertex to the opposite base/side or simply the height, a shadow shows the distance from the top of your body to your feet perpendicularly to an opposite side. By this logic, your shadow when you're in the sun is a real world example of an altitude.
Lesson 7
Kite: The seventh lesson included the introduction to angle bisectors and perpendicular bisectors. The picture of a kite to the left is an example of both! The vertical line going through the middle of the kite bisects both the angle on the top and the one at the bottom. The horizontal line going across intersects with that vertical line in the middle creating a perpendicular bisector! A kite is a real world example of an angle and perpendicular bisector.