Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Points, Lines, and Planes
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Exercise 15 Page 384

Opposite rays are rays that share the same endpoint, but point in opposite directions.

EA and EC
EB and ED

Practice makes perfect

In this exercise we want to name two pairs of opposite rays, considering the given diagram.

Opposite rays are rays that share the same endpoint, but point in opposite directions. To construct a pair of opposite rays, we need three collinear points. In our case, we have two sets of collinear points. A, E, and C B, E, and D By letting E be the endpoint of the rays, we can find the first set of opposite rays on line s: EA and EC.

We can be sure that these rays are opposite because E lies on the line AC. Now, we can consider the second set of collinear points lying on line t. For the same reason, the rays EB and ED are also opposite.

Therefore, there are two pairs of opposite rays, one lying on line s, and another on line t.

  1. EA and EC
  2. EB and ED