Honors Geometry Companion Book, Volume 1

4.2.4 Introduction to Coordinate Proof - Practice

1.  Position a square with side lengths of 4 units in the coordinate plane.

2.  Position a rectangle with a length of 6 units and a width of 4 units in the coordinate plane.

3.  Find the length and width of the figure below and identify the type of figure.

4.  Find the length and width of the figure below and identify the type of figure.

6.  Given that rectangle LMNO with coordinates L (0, 0), M (3, 0), N (3, 7), O (0, 7), P is the midpoint of LM , and Q is the midpoint of NO , prove that PQ = LO .

5.  Given that rectangle PQRS with coordinates P (0, 0), Q (8, 0), R (8, 4), S (0, 4), U is the midpoint of PQ , and V is the midpoint of RS , prove that UV = QR .

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