Determine whether the parallelogram is a rhombus, rectangle, square or none. PLEASE HELP!! WILL MARK BRAINLIEST!!
1 answer:
Answer:
A. EFGH is a rhombus that is not a square because it’s diagonals are perpendicular but not congruent
Step-by-step explanation:
You can determine both the lengths and the relative angle between the diagonals by looking at the difference between their end points.
G-E = (5, 2) -(1, 2) = (4, 0)
F-H = (3, 3) -(3, 1) = (0, 2)
This tells you two things:
- GE is a horizontal line and FH is a vertical line, so the diagonals are perpendicular (the parallelogram is a rhombus)
- The length of GE is 4 and the length of FH is 2, so the diagonals are different length (the rhombus is not a square)
EFGH is a rhombus that is not a square.
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