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.86F4-89--4-20468-2-4-6-8© 2016 StrongMind. Created using GeoGebra.Examine the proof and answer the question.StatementsReasons1. Quadrilateral EFGH has vertices at E(2, 3), F(-2, 5), G(-3,3), and H(1, 1).1. Given2. The slope of EF =-2-25 32. Slope formulaThe slope of GH =3)1-3%3D1-(-3)The slope of FG = ,= 2.3 (-2)3-5The slope of EH =B = 2.1-3%3D1-23. ?3. EF || GHFG || EH4. 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.

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.

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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

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