Challenge Practice

LESSON 15-3
Challenge Practice
The given point coordinates represent three vertices of a parallelogram. Write the
coordinates of each other point that could be the fourth vertex. Justify your answers.
1. A(2, 0), B(3, 5), C(6, 0)
2. F(2, 2), G(–1, 4), H(–1, 5)
3.
In general, given three of the vertices of a parallelogram, how many different
possible points are there for the fourth vertex?
4.
Use a compass and straightedge and the fact that the diagonals of a parallelogram
bisect each other to construct parallelogram 𝐴𝐵𝐶𝐷 given triangle 𝐴𝐵𝐶 below.
A
B
5.
C
Use a compass and straightedge and the fact that consecutive interior angles of a
parallelogram are supplementary to construct parallelogram 𝑁𝑂𝐸𝐿 given ∠𝑁 below.
N