This unit focused, in part, on relationships in triangles. a triangle is the simplest type of polygon and is frequently used in construction. explain why triangles are often used to build bridges, roofs, buildings, and other structures. which properties of a triangle make it a desirable geometric shape for these applications?

Triangles have been used extensively throughout history in construction due to their rigid shape and strength. Unlike a square, that can shift into a parallelogram when force is applied to one of its sides, an equilateral triangle's sides and angles are fixed.

Due to the rigidness of the triangle's shapes, high amounts of forces can be sustained without deformation. Triangles are often used as trusses in bridges, or other support structures in buildings. They can easily be fit together to provide strength and stability over a wide area. The most famous triangles in structures are the pyramids of Egypt, which are the largest pyramids in the world.

Step-by-step explanation:

Triangles are used in structures because a triangle is a very stable shape that cannot be stretched or squashed easily - unlike rectangles which can easily become parallelograms. It's angles are used to balance weight of any structure.

Step-by-step explanation:

Because of their shape triangles  are stable and strong. Weight is evenly distributed  through a triangular structure when force is applied and the triangle retains its shape.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two