QQuestionMathematics
QuestionMathematics
which of these shapes is congruent to the given shape ?
OA
$\mathrm{O} \mathrm{B}$
$\mathrm{O} \mathrm{C}$
$\mathrm{O} \mathrm{D}$
$\mathrm{O} \mathrm{E}$
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Answer
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Step 1:I'll solve this step by step using geometric congruence principles.
Step 2:: Understand Congruence
- Two shapes are congruent if they have:
Step 3:
Exactly the same shape
Step 4:
Exactly the same size
Step 5:
Can be superimposed perfectly
Step 6:: Analyze the Original Shape
- The original shape is a quadrilateral - It appears to have: - Unequal side lengths - Some interior angles that are not right angles - A somewhat irregular geometric form
Step 7:: Compare with Option A
- Option A's shape is different - Different side lengths and angles - Not congruent
Step 8:: Compare with Option B
- Option B's shape is different - Different proportions and orientation - Not congruent
Step 9:: Compare with Option C
- Option C matches the original shape EXACTLY - Same side lengths - Same interior angles - Can be perfectly superimposed - Potentially rotated or reflected, but still congruent
Step 10:: Compare with Options D and E
- Options D and E have different shapes - Not congruent to the original shape
Final Answer
Option \mathrm{C} is congruent to the given shape.
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