Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob thinks that she would need to draw a parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. Who is correct, if anyone, and why?
Answer
A
Only Claire is correct, because if the figure is a parallelogram and 2 sides are congruent, it must have all 4 sides congruent.
B
Only Jacob is correct, because a parallelogram with 4 congruent sides must have 2 pairs of opposite sides that are congruent.
C
Both are correct because if a figure has at least 2 congruent sides, it must have 4 congruent sides.
D
Neither is correct because one would need to draw 4 congruent sides in order to be sure the figure was a rhombus.