Geometry Worksheets | Polygons Worksheets - Free Printable
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Step-by-step solution for: Geometry Worksheets | Polygons Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Geometry Worksheets | Polygons Worksheets
Let me work through each quadrilateral carefully by examining the markings on each shape.
Step-by-step analysis of each quadrilateral:
1) Shape has tick marks showing opposite sides are equal (one tick on top/bottom, two ticks on left/right). No right angle marks. This is a parallelogram.
2) Shape has right angle marks at all four corners, and tick marks showing all sides equal. A quadrilateral with 4 right angles and 4 equal sides is a square.
3) Shape has no special markings - no parallel sides indicated, no equal sides, no right angles. This appears to be a general quadrilateral (or irregular quadrilateral/trapezoid depending on if one pair of sides is parallel). Looking more carefully, it seems like it could be a trapezoid if one pair of sides is parallel, but without markings indicating parallel sides, it's just a quadrilateral.
Wait, let me reconsider. The shape in #3 looks like it might have one pair of parallel sides (the bottom appears horizontal and the top might be slanted). Without explicit markings, I'll call it a trapezoid if it has one pair of parallel sides, or just quadrilateral if not. Given typical worksheet conventions, this is likely meant to be a trapezoid.
Actually, looking at standard math worksheets, shape #3 with no markings is typically classified as just a quadrilateral (irregular).
4) Shape has double tick marks on all four sides, meaning all sides are equal. No right angle marks. A quadrilateral with 4 equal sides but no right angles is a rhombus.
5) Similar to #3, no markings. This appears to be an irregular quadrilateral or possibly a trapezoid.
6) Shape has tick marks: one tick on top and right side, two ticks on bottom and left side. This shows two pairs of equal adjacent sides... wait, let me reconsider. If top=right (1 tick) and bottom=left (2 ticks), this could be a kite. Actually, looking again - it seems like there might be one pair of parallel sides indicated. Let me think... With the markings showing some sides equal, this could be a trapezoid or kite. Given the shape appearance, it's likely a trapezoid.
Hmm, let me reconsider #6. The markings show: top has 1 tick, right has 1 tick, bottom has 2 ticks, left has 2 ticks. So top=right and bottom=left. This pattern with adjacent sides equal suggests a kite.
7) Shape has right angle marks at all corners and tick marks showing all sides equal. This is a square.
8) Shape has double tick marks on all sides (all equal) and appears to be slanted. No right angles. This is a rhombus.
Wait, actually #8 has double ticks on all four sides meaning all sides equal, but it's drawn as a parallelogram shape. This is a rhombus.
9) Shape has tick marks on the two non-parallel sides (the legs), showing they are equal. The top and bottom appear to be parallel (horizontal). This is an isosceles trapezoid.
10) Shape has right angle marks and tick marks showing all sides equal. This is a square.
11) Shape has tick marks: one tick on top and bottom, two ticks on left and right sides. Opposite sides are equal. No right angles. This is a parallelogram.
12) Similar to #6, with tick marks showing some sides equal. Top has 1 tick, right has 1 tick, bottom has 2 ticks, left has 2 ticks. This is a kite.
Let me finalize my answers:
1) Parallelogram
2) Square
3) Quadrilateral (or Trapezoid)
4) Rhombus
5) Quadrilateral (or Trapezoid)
6) Kite (or Trapezoid)
7) Square
8) Rhombus
9) Isosceles Trapezoid
10) Square
11) Parallelogram
12) Kite (or Trapezoid)
For #3 and #5, without any markings, these are typically just called "quadrilaterals" on such worksheets, though they could be trapezoids if one pair of sides is parallel.
For #6 and #12, with the specific tick mark pattern (adjacent sides equal), these are kites.
Final Answer:
1) Parallelogram
2) Square
3) Quadrilateral
4) Rhombus
5) Quadrilateral
6) Kite
7) Square
8) Rhombus
9) Isosceles Trapezoid
10) Square
11) Parallelogram
12) Kite
Step-by-step analysis of each quadrilateral:
1) Shape has tick marks showing opposite sides are equal (one tick on top/bottom, two ticks on left/right). No right angle marks. This is a parallelogram.
2) Shape has right angle marks at all four corners, and tick marks showing all sides equal. A quadrilateral with 4 right angles and 4 equal sides is a square.
3) Shape has no special markings - no parallel sides indicated, no equal sides, no right angles. This appears to be a general quadrilateral (or irregular quadrilateral/trapezoid depending on if one pair of sides is parallel). Looking more carefully, it seems like it could be a trapezoid if one pair of sides is parallel, but without markings indicating parallel sides, it's just a quadrilateral.
Wait, let me reconsider. The shape in #3 looks like it might have one pair of parallel sides (the bottom appears horizontal and the top might be slanted). Without explicit markings, I'll call it a trapezoid if it has one pair of parallel sides, or just quadrilateral if not. Given typical worksheet conventions, this is likely meant to be a trapezoid.
Actually, looking at standard math worksheets, shape #3 with no markings is typically classified as just a quadrilateral (irregular).
4) Shape has double tick marks on all four sides, meaning all sides are equal. No right angle marks. A quadrilateral with 4 equal sides but no right angles is a rhombus.
5) Similar to #3, no markings. This appears to be an irregular quadrilateral or possibly a trapezoid.
6) Shape has tick marks: one tick on top and right side, two ticks on bottom and left side. This shows two pairs of equal adjacent sides... wait, let me reconsider. If top=right (1 tick) and bottom=left (2 ticks), this could be a kite. Actually, looking again - it seems like there might be one pair of parallel sides indicated. Let me think... With the markings showing some sides equal, this could be a trapezoid or kite. Given the shape appearance, it's likely a trapezoid.
Hmm, let me reconsider #6. The markings show: top has 1 tick, right has 1 tick, bottom has 2 ticks, left has 2 ticks. So top=right and bottom=left. This pattern with adjacent sides equal suggests a kite.
7) Shape has right angle marks at all corners and tick marks showing all sides equal. This is a square.
8) Shape has double tick marks on all sides (all equal) and appears to be slanted. No right angles. This is a rhombus.
Wait, actually #8 has double ticks on all four sides meaning all sides equal, but it's drawn as a parallelogram shape. This is a rhombus.
9) Shape has tick marks on the two non-parallel sides (the legs), showing they are equal. The top and bottom appear to be parallel (horizontal). This is an isosceles trapezoid.
10) Shape has right angle marks and tick marks showing all sides equal. This is a square.
11) Shape has tick marks: one tick on top and bottom, two ticks on left and right sides. Opposite sides are equal. No right angles. This is a parallelogram.
12) Similar to #6, with tick marks showing some sides equal. Top has 1 tick, right has 1 tick, bottom has 2 ticks, left has 2 ticks. This is a kite.
Let me finalize my answers:
1) Parallelogram
2) Square
3) Quadrilateral (or Trapezoid)
4) Rhombus
5) Quadrilateral (or Trapezoid)
6) Kite (or Trapezoid)
7) Square
8) Rhombus
9) Isosceles Trapezoid
10) Square
11) Parallelogram
12) Kite (or Trapezoid)
For #3 and #5, without any markings, these are typically just called "quadrilaterals" on such worksheets, though they could be trapezoids if one pair of sides is parallel.
For #6 and #12, with the specific tick mark pattern (adjacent sides equal), these are kites.
Final Answer:
1) Parallelogram
2) Square
3) Quadrilateral
4) Rhombus
5) Quadrilateral
6) Kite
7) Square
8) Rhombus
9) Isosceles Trapezoid
10) Square
11) Parallelogram
12) Kite
Parent Tip: Review the logic above to help your child master the concept of quadrilateral properties worksheet.