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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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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 F 4 -8 9- -4 -20 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 = -2-2 5 3 2. Slope formula The slope of GH =3) 1-3 %3D 1-(-3) The slope of FG = , = 2. 3 (-2) 3-5 The slope of EH =B = 2. 1-3 %3D 1-2 3. ? 3. EF || GH 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.
Transcribed Image Text: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 F 4 -8 9- -4 -20 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 = -2-2 5 3 2. Slope formula The slope of GH =3) 1-3 %3D 1-(-3) The slope of FG = , = 2. 3 (-2) 3-5 The slope of EH =B = 2. 1-3 %3D 1-2 3. ? 3. EF || GH 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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