Question

Which example is the best application of geometry in the field of architecture?
A.
calculating the amount of labor needed to build the structure
B.
determining the material needed to conserve energy for a building
C.
designing the layout of the structure
D.
calculating the cost of building the structure

Answer 1

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

A
⁢
B
¯
is parallel to
C
⁢
D
¯
, and
E
⁢
F
¯
is perpendicular to
A
⁢
B
¯
.
The number of 90° angles formed by the intersections of
E
⁢
F
¯
and the two parallel lines
A
⁢
B
¯
and
C
⁢
D
¯
is .

Answer 2

C. designing the layout of the structure. Geometry is essential in architecture for the design and layout of buildings, including determining measurements, angles, and shapes of structures.

Answer 3

4.

When a line is perpendicular to another line, the two lines form a 90° angle. Since line EF is perpendicular to line AB, it forms two 90° angles where they intersect. Similarly, since line EF is perpendicular to line CD, it forms two more 90° angles where they intersect. In total, there are four 90° angles formed by the intersections of EF and the two parallel lines AB and CD.