6.3 Showing Quadrilaterals are Parallelograms

6.3
Exercises
Guided Practice
Vocabulary Check
Practice and Applications
Extra Practice
See p. 685.
Skill Check
Homework Help
Example 1: Exs. 8–10
Example 2: Exs. 11–13
Example 3: Exs. 14–16
Example 4: Exs. 17–19
320 Chapter 6 Quadrilaterals
In Exercises 1–3, name all the sides or angles of gEFGH that match
the description.
1. Opposite sides are parallel.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Explain why every parallelogram is a quadrilateral, but not every
quadrilateral is a parallelogram.
Decide whether you are given enough information to show that the
quadrilateral is a parallelogram. Explain your reasoning.
5.
50
6. 7.
6
6
Using Opposite Sides Tell whether the quadrilateral is a
parallelogram. Explain your reasoning.
8. 9. 10.
8 6
Using Opposite Angles Tell whether the quadrilateral is a
parallelogram. Explain your reasoning.
11. 12. 13.
82 98
98
130
Using Consecutive Angles Tell whether the quadrilateral is a
parallelogram. Explain your reasoning.
14.
60 120
15. 16.
120
82
6
118
72
8
118
H
E
80
3
3
G
110
2
2
F
110 60