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?

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

Question

Benny

Mathematics

10 August, 19:40

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?

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

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Answers (2)

Know the Answer?

Tori Blanchard · Answer 1

The answer is B be cause a parallelogram with 4 congruent sides must have 2 pairs of the different sides must be congruent

Amir Gross · Answer 2

The answer is D:Neither is correct because one would need to draw 4 congruent sides in order to be sure the figure was a rhombus.

A rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles and all four sides are equal in length.