Given: Quadrilateral EFGH has vertices at E(2, 3), F(-2,5), G(-3, 3), and H(1,1). Prove Quadrilateral EFGH is a parallelogram. 8 6 -8 -6 -4 -20 2 4 6 8 -2 -4 -6 -8 © 2016 StrongMind. Created using GeoGebra. Examine the proof and answer the question. Statements Reasons 1. Quadrilateral EFGH has vertices at E(2, 3), F(-2, 5), G(-3, 3), and H(1, 1). 1. Given 2. The slope of EF 2. Slope formula %3D 1–3 The slope of GH 1-(-3) The slope of FG = = 2. 35 The slope of EH = H 2. 3. EF || GH 3. ? FG || EH 4. Quadrilateral EFGH is a parallelogram. 4. Both pairs of opposite sides of a parallelogram are parallel. Which reason justifies statement 3? O Lines with equal slopes are parallel. O Lines with opposite reciprocal slopes are parallel. O Opposite sides of quadrilaterals are parallel. O ZE, ZF, ZG, and ZH are right angles.

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