6.1.3 Conditions for Parallelograms - Worksheet
Example 1: 1. Show that EFGH is a parallelogram for s = 5 and t = 6.
2. Show that KLPQ is a parallelogram for m = 14 and n = 12.5.
F
L
P
(6 n – 1)°
(5 m + 36)°
G
J
E
(4 m + 50)°
H
K
Q
Example 2: Determine if each quadrilateral must be a parallelogram. Justify your answer. 3. 4. 5.
Example 3: Show that the quadrilateral with the given vertices is a parallelogram. 6. W ( − 5 , − 2) , X ( − 3 , 3), Y (3, 5), Z (1, 0)
7. R ( − 1 , − 5) , S ( − 2 , − 1), T (4, − 1), U (5, − 5)
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