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| 1 | |
Which regular polygon can be used to tile the plane? |
| | A) | square |
| | B) | hexagon |
| | C) | triangle |
| | D) | all of these |
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| 2 | |
A tessellation is made using polygons. Consider a point where several polygons meet. What is the sum of the interior angles at this point? |
| | A) | 360º |
| | B) | 270º |
| | C) | 180º |
| | D) | 90º |
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| 3 | |
A tessellation is made using squares and equilateral triangles. Consider a point where several polygons meet. Which arrangement would work? |
| | A) | two squares and two triangles |
| | B) | three squares and two triangles |
| | C) | two squares and three triangles |
| | D) | three squares and three triangles |
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| 4 | |
Which of these cannot be used to tile the plane? |
| | A) | rectangle |
| | B) | parallelogram |
| | C) | circle |
| | D) | none of these can be used to tile the plane |
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| 5 | |
Which statement is correct? |
| | A) | A regular octagon can be used to tile the plane. |
| | B) | A regular octagon cannot be used to tile the plane, since the measure of one interior angle does not divide evenly into 360º. |
| | C) | A regular octagon cannot be used to tile the plane, since the measure of one interior angle does not divide evenly into 180º. |
| | D) | A regular octagon cannot be used to tile the plane, since the measure of one interior angle does not divide evenly into 720º. |
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| 6 | |
How many different polygons were used to create the tessellation shown?
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| | A) | 2 |
| | B) | 3 |
| | C) | 4 |
| | D) | 5 |
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| 7 | |
What polygons were used to create the tessellation shown?
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| | A) | four regular pentagons and a square |
| | B) | one irregular pentagon and a square |
| | C) | two irregular pentagons and a square |
| | D) | four irregular pentagons and a square |
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| 8 | |
You can tile the plane with ___________. |
| | A) | an equilateral triangle |
| | B) | an isosceles triange |
| | C) | a scalene triangle |
| | D) | all of these |
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| 9 | |
Elzbieta has two square tiles and two equilateral triangle tiles that all have the same side length. Which statement is true? |
| | A) | These cannot be joined at a point to form a tessellation because the interior angles do not add to 360º. |
| | B) | These can be joined at a point to form a tessellation because both are regular polygons. |
| | C) | These can be joined at a point to form a tessellation because the interior angles add to 360º. |
| | D) | These can be joined at a point to form a tessellation because the interior angles add to 300º. |
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| 10 | |
Which of these transformations results in a shape that can be used to tile the plane? |
| | A) | Rotate a pentagon about one of its vertices through an angle of 108º. |
| | B) | Reflect an octagon about one of its sides. |
| | C) | Reflect a right triangle about its hypotenuse. |
| | D) | Reflect a circle about its diameter. |
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