Parallel lines have
the same slope.
In any geometry problem, never assume that two lines are parallel unless the question or diagram
specifically tells you so. In the following diagram, angle a is a big angle, and it has the same
measure as angles c, e, and g, which are also big angles. Angle b is a small angle, and it has the
same measure as angles d, f, and h, which are also small angles.
a = c = e = g
b = d = f = h
l 2 = l 3
You should be able to see that the degree measures of angles a, b, c, and d add up to 360 degrees.
So do those of angles e, f, g, and h. If you have trouble seeing it, draw a circle around the angles.
What is the degree measure of a circle? Also, the sum of any small angle (such as d) and any big
angle (such as g) is 180°.
Let’s see how these concepts might be tested on the SAT.