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Question
ethan says these shapes each have two pairs of parallel sides and four square corners. what mistake does ethan make? use the drop - down menus to explain.
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ethan is incorrect about shape choose... because
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Step1: Analyze Shape A
Shape A is a rhombus. A rhombus has two pairs of parallel sides. Now check square corners (right angles). A rhombus does not necessarily have right angles (square corners) unless it's a square. Wait, but maybe shape C? Wait, shape C is a parallelogram (non - rectangular). Let's re - examine:
- Shape A: Rhombus, can have right angles? No, a general rhombus has equal - length sides and two pairs of parallel sides, but angles are not necessarily right angles. Wait, no, a square is a rhombus with right angles. But maybe the intended shape is C. Wait, let's recall:
- Shape A: Rhombus (a type of parallelogram with equal sides). If it's a square - like rhombus, it has right angles, but maybe in the problem, shape C is a non - rectangular parallelogram. Wait, the three shapes: A (rhombus), B (rectangle), C (parallelogram).
- Ethan says each has two pairs of parallel sides and four square corners (right angles).
- Shape C: Parallelogram. A parallelogram has two pairs of parallel sides, but its angles are not right angles (unless it's a rectangle). So Ethan is wrong about shape C because it does not have four square corners (right angles), even though it has two pairs of parallel sides. Or shape A: if shape A is a rhombus without right angles, then Ethan is wrong about A. But more likely, shape C. Wait, let's think again.
- Rectangle (B) has two pairs of parallel sides and four right angles. Rhombus (A): if it's a square, it has right angles, but if it's a non - square rhombus, it doesn't. But the problem's diagram: shape C is a slanted parallelogram (non - rectangular). So for shape C: it has two pairs of parallel sides, but no right angles. So Ethan is incorrect about shape C because it does not have four square corners (right angles), even though it has two pairs of parallel sides. Or shape A: if shape A is a rhombus with no right angles, then Ethan is wrong about A. But let's assume the standard problem: shape C is a parallelogram (not a rectangle), so Ethan is wrong about shape C because it does not have four square corners (right angles).
Step2: Conclusion
Ethan is incorrect about shape C because it has two pairs of parallel sides but does not have four square corners (its angles are not right angles).
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Ethan is incorrect about shape C because it has two pairs of parallel sides but does not have four square corners (its angles are not right angles). (If the correct shape is A, then: Ethan is incorrect about shape A because it does not have four square corners (if it's a non - square rhombus) even though it has two pairs of parallel sides. But based on typical problems, shape C is the one with two pairs of parallel sides but no right angles.)