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Angles, Polygons & Enlargement (Grade 7)

Free printable Grade 7 geometry worksheet: angles on a line, at a point and between parallel lines, polygon angle sums, quadrilateral properties, and enlargement.

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Grade 7 · Math worksheet
Name
Date
Math

Space: Angles, Polygons & Enlargement

Find each missing angle, name the polygon, state the quadrilateral property, or find the enlarged length.

  1. 1.
    Two angles on a straight line are 42 degrees and x degrees. Find x.
  2. 2.
    Two angles on a straight line are 108 degrees and x degrees. Find x.
  3. 3.
    Two angles on a straight line are 129 degrees and x degrees. Find x.
  4. 4.
    Three angles meet at a point: 128 degrees, 73 degrees, and x degrees. Find x.
  5. 5.
    Three angles meet at a point: 87 degrees, 131 degrees, and x degrees. Find x.
  6. 6.
    Two parallel lines are cut by a transversal. One angle is 138 degrees. Find its co-interior angle.
  7. 7.
    Two parallel lines are cut by a transversal. One angle is 142 degrees. Find its alternate angle.
  8. 8.
    Two parallel lines are cut by a transversal. One angle is 58 degrees. Find its co-interior angle.
  9. 9.
    Find the sum of the interior angles of a polygon with 8 sides (a octagon).
  10. 10.
    Find the sum of the interior angles of a polygon with 6 sides (a hexagon).
  11. 11.
    Find the sum of the interior angles of a polygon with 5 sides (a pentagon).
  12. 12.
    What is the name of a polygon with 3 sides?
  13. 13.
    What is the name of a polygon with 8 sides?
  14. 14.
    What is the name of a polygon with 9 sides?
  15. 15.
    State one property of a square.
  16. 16.
    State one property of a rectangle.
  17. 17.
    State one property of a parallelogram.
  18. 18.
    State one property of a square.
  19. 19.
    A shape is enlarged by a scale factor of 4. If the original side length is 9, find the new side length.
  20. 20.
    A shape is enlarged by a scale factor of 3. If the original side length is 18, find the new side length.
  21. 21.
    A shape is enlarged by a scale factor of 4. If the original side length is 6, find the new side length.
  22. 22.
    A shape is enlarged by a scale factor of 4. If the original side length is 3, find the new side length.
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