the diagonals of a rhombus are ______.

a. never congruent
b. sometimes equal
c. perpendicular
d. parallel

Question

the diagonals of a rhombus are ______.

a. never congruent
b. sometimes equal
c. perpendicular
d. parallel

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Perpendicular Diagonals", "Rhombus Properties" ], "new_concepts": [], "current_concepts": [ "Rhombus Properties", "Perpendicular Diagonals" ] } ## Analyze properties of rhombus diagonals $$ \text{Diagonals of a rhombus intersect at right angles } (90^\circ). $$ ## Evaluate the given options $$ \begin{aligned} &\text{A. never congruent } ightarrow \text{False (congruent in a square)} \ &\text{B. sometimes equal } ightarrow \text{True (equal in a square, which is a rhombus)} \ &\text{C. perpendicular } ightarrow \text{Always True (defining property of any rhombus)} \ &\text{D. parallel } ightarrow \text{False (diagonals intersect)} \end{aligned} $$ ## Select the most fundamental defining property $$ \text{The statement "The diagonals of a rhombus are \_\_\_\_\_." is universally completed by "perpendicular".} $$

A. never congruent

B. sometimes equal

C. perpendicular

D. parallel

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Rhombus Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze properties of rhombus diagonals

Evaluate the given options

Select the most fundamental defining property

Answer: