6.2.2 Conditions for Special Parallelograms - Worksheet
Example 1: 1. A city garden club is planting a square garden. They drive pegs into the ground at each corner and tie strings between each pair. The pegs are spaced so that WX ≅ XY ≅ YZ ≅ ZW. How can the garden club use the diagonal strings to verify that the garden is a square?
X
W
Y
V
Z
Example 2:
Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid.
A
B
2. Given: AC ≅ BD
Conclusion: ABCD is a rectangle.
D
C
3. Given: AB || CD, AB ≅ CD , AB ⊥ BC Conclusion: ABCD is a rectangle.
Example 3:
Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus , or square. Give all the names that apply.
4. P ( − 5, 2), Q (4, 5), R (6, − 1), S ( − 3, − 4)
5. W ( − 6, 0), X (1, 4), Y (2, − 4), Z ( − 5, − 8)
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