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Geometry
PA mathematics Core Standards addressed: 2.3.4.A.1
The word Geometry comes from two Greek words, geo, which means Earth, and
metric, which means measuring. Geometry is all about measuring the Earth. Some
items commonly measured in geometry include lines, line segments, rays, and angles.
A line connects two points, and continues straight in either direction indefinitely.
Similar to lines, are line segments. These are also a straight connection between two
points, but they end at the points.
A ray is started at one point, and then continues indefinitely
in one direction.
Angles are formed at the intersection of two lines, segments, or rays.
As you walk through the park, take note of all of the line segments you see. There are
line segments that make up the structures of the rides, the buildings, and the games.
When looking at lines or line segments, we often label pairs based on their positions
relative to each other.
If two lines or segments intersect at a 90-degree angle, they are called perpendicular.
If two lines or segments intersect at an angle that is other than 90 degrees, they are
called skew.
If the two lines or segments run the same distance away from each other at every
point, and the lines would never intersect, they are called parallel.
In the park, find examples of parallel, perpendicular, and skew line segments. Draw a
sketch of the place you saw it, highlight the lines, and label it with the name of the
ride or building and the type of pair it represents:
1.
2.
3.
As mentioned earlier, lines, segments, and rays form angles where they intersect.
There are 3 main types of angles: right angles, acute angles, and obtuse angles. Right
angles are formed by two segments that intersect at a 90 degree angle. Acute angles
are less than 90 degrees where the segments intersect, and obtuse angles are greater
than 90 degrees where the segments intersect.
Different angles are used in structures to create both
artistic effects, and to transfer forces to the object to
make it stable and sturdy. Throughout the park, there
are many rides and structures that contain angles, from
the sides of the food stands to the supports under the
roller coasters and the bridges for the trains.
First, create a reference sheet for yourself, and draw an example of each of the types of
angles below:
Right
Acute
Obtuse
Now, as you go through the park, find the following objects, and determine if the
angles that are formed in them are right, acute, or obtuse.

The “candy poles” under the birthday pavilion__________________________

The support pole of a merry-go-round horse with the floor of the
ride________________

The adjacent spokes of the Giant Wheel compared to
each other_________________________
Last, find the three different types of angles in other places in
the park. Sketch the objects you see, label what they are, and label each with the types
of angles they represent.