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Question
quadrilaterals that have four equal sides are called rhombuses. drag and drop all quadrilaterals that have four equal sides.
Step1: Recall rhombus definition
A rhombus has 4 equal - length sides. We check each quadrilateral:
- First figure (orange parallelogram): Has 4 equal - length marks, so 4 equal sides.
- Second figure (green trapezoid): Only 1 pair of parallel sides, not 4 equal sides.
- Third figure (purple diamond - shaped): Has 4 equal - length marks, 4 equal sides.
- Fourth figure (purple square - like): Has 4 equal - length marks, 4 equal sides.
- Fifth figure (purple parallelogram): Has 2 pairs of equal sides (not 4 equal), so no. Wait, no, the marks: it has two pairs of equal - length marks, but not 4 equal. Wait, no, re - check. Wait, the first, third, fourth: the first has 4 marks (each side marked once, so 4 equal), third has 4 marks (each side marked), fourth has 4 marks. The fifth has two pairs (so opposite sides equal, not 4 equal). The sixth (green trapezoid) has two equal sides (the non - parallel sides? No, the marks are on the non - parallel? Wait, no, the sixth is an isosceles trapezoid with two equal non - parallel sides, not 4 equal. So the ones with 4 equal sides are the first (orange parallelogram), third (purple diamond), fourth (purple square - like). Wait, also, a square is a rhombus (since it has 4 equal sides). A rhombus can be a square (when angles are right angles) or a non - square rhombus. So the first (all sides equal, parallelogram with 4 equal sides), third (rhombus), fourth (square, which is a rhombus), and wait, the fifth: wait, the fifth has two pairs of equal sides (marked as two pairs), so opposite sides equal, not 4 equal. So the correct ones are the first, third, fourth.
Step2: Identify the figures
We look at the yellow bar:
- First figure (left - most, orange parallelogram): 4 equal sides (each side has a mark, so all sides equal).
- Second figure (green trapezoid): Not 4 equal sides.
- Third figure (purple diamond - shaped): 4 equal sides (each side has a mark).
- Fourth figure (purple square - shaped): 4 equal sides (each side has a mark).
- Fifth figure (purple parallelogram): Opposite sides equal (two pairs of equal sides, not 4 equal).
- Sixth figure (green trapezoid - like): Two equal sides (non - parallel), not 4 equal.
So the quadrilaterals with 4 equal sides are the first, third, and fourth figures in the yellow bar.
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The quadrilaterals with four equal sides (to be dragged) are the left - most orange parallelogram, the purple diamond - shaped figure, and the purple square - shaped figure (in the yellow bar, positions 1, 3, and 4 from the left).