Shapes
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Quiz - 2D and 3D shapes (Friday - 7 September 2007) 1. Its number of lines of symmetry is the same as its number of sides. A special name for this set is____ 2. If it has five sides, then all of its angles are equal. If it has an even number of sides, then it is a regular polygon. If it is a triangle, then it is an equilateral triangle. It is________ 3. It has at least two pair of parallel sides. It has at least one angle greater than 90 degrees. It has an even number of diagonals. It has no acute angles. It is _________ 4. It has at least one right angle and it has at least one pair of parallel sides. Its diagonals are the same length. Its diagonals cut the figure into regions that are congruent. It is________ 5. If it is a quadrilateral, then it is a kite. It has fewer than five sides. It has at least one diagonal. Its opposite angles are equal. Its diagonal are not the same length. It is_________ 6. Make up a multi step problem of you own.
7. Find all members of the set whose diagonals intersect at a point which bisects each diagonal. It is___________ 8. Its diagonals cut the quadrilateral into congruent regions. It is ___________ 9. Its diagonals are intersecting lines that form 4 equal vertical angles. It is _______ 10. Its diagonals bisect the vertex angles. It is __________ 11. Its adjacent angles are supplementary. It is__________ 12. Its sides are all the same length. It is not a regular polygon. It is___________ 13. Decide which of the following are possible. For those that are possible, draw a sketch and name the polygon.
a. A quadrilateral with exactly three right angles
d. An isosceles triangle that is also a right triangle
b. A triangle with two obtuse angles
e. An equilateral triangle that is also a right triangle
c. A triangle with no sides the same length
f. A trapezoid with a pair of sides that are the same length
14. It has at least two pairs of faces that are the same size and shape (congruent). It has exactly eight corners (vertices). It is____________ 15. It has an odd number of corners. It is__________ 16. It has an even number of faces. It has less than ten corners (vertices). It has less than ten edges. It has two faces that have the same shape. It is_________ 17. It has at least four faces that are the same size and shape (congruent). If it has a pair of parallel faces, the it has more than twelve edges. At least one of its faces is a rectangle, but it is not a square. It is __________ 18. Part, if not all, of its surface is curved. If it has two parallel faces, then they are the same shape but not the same size. It is not an ellipsoid. Separate the remaining pieces into two sets so that one solid could have been made by slicing another solid. It is__________ 19. It is a pyramid. Its faces are not all triangles. It is ________________ 20. It does not have any curved surfaces. It does not have any faces that are parallel. It is_______________
7. Find all members of the set whose diagonals intersect at a point which bisects each diagonal. It is___________ 8. Its diagonals cut the quadrilateral into congruent regions. It is ___________ 9. Its diagonals are intersecting lines that form 4 equal vertical angles. It is _______ 10. Its diagonals bisect the vertex angles. It is __________ 11. Its adjacent angles are supplementary. It is__________ 12. Its sides are all the same length. It is not a regular polygon. It is___________ 13. Decide which of the following are possible. For those that are possible, draw a sketch and name the polygon.
a. A quadrilateral with exactly three right angles
d. An isosceles triangle that is also a right triangle
b. A triangle with two obtuse angles
e. An equilateral triangle that is also a right triangle
c. A triangle with no sides the same length
f. A trapezoid with a pair of sides that are the same length
14. It has at least two pairs of faces that are the same size and shape (congruent). It has exactly eight corners (vertices). It is____________ 15. It has an odd number of corners. It is__________ 16. It has an even number of faces. It has less than ten corners (vertices). It has less than ten edges. It has two faces that have the same shape. It is_________ 17. It has at least four faces that are the same size and shape (congruent). If it has a pair of parallel faces, the it has more than twelve edges. At least one of its faces is a rectangle, but it is not a square. It is __________ 18. Part, if not all, of its surface is curved. If it has two parallel faces, then they are the same shape but not the same size. It is not an ellipsoid. Separate the remaining pieces into two sets so that one solid could have been made by slicing another solid. It is__________ 19. It is a pyramid. Its faces are not all triangles. It is ________________ 20. It does not have any curved surfaces. It does not have any faces that are parallel. It is_______________
