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1. |
Suppose that, in a tessellation by regular hexagons and equilateral triangles, two hexagons meet at a vertex. How many of the triangles must meet at that vertex? |
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A. |
4 |
B. |
1 |
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C. |
2 |
D. |
3 |
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Hint |
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2. |
Which figure shows a line that is not a line of symmetry? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Which statement is true for the figure below? Assume . |
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A. |
is a translation image of  |
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B. |
lines and m are perpendicular |
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C. |
is a translation image of  |
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D. |
is a translation image of  |
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Hint |
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4. |
Refer to the figure below. A dilation with center C produced the circle in red. What is the scale factor of the dilation? |
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A. |
1 |
B. |
3 |
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C. |
2 |
D. |
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Hint |
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5. |
Determine if a regular dodecagon will tessellate. |
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A. |
No, interior angle is 150 |
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B. |
No, the sum of the interior angles is 2160 |
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C. |
Yes, the sum of the interior angles is 1800 |
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D. |
Yes, interior angle is 216 |
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Hint |
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6. |
Find the direction of vector RS given R(-4,-2) and S(3,7). |
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A. |
50.8° |
B. |
52.1° |
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C. |
60.0° |
D. |
59.2° |
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Hint |
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7. |
If A (-2, -3) is reflected over the y-axis, what are the new coordinates of A' ? |
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A. |
(2, -3) |
B. |
(-2, 3) |
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C. |
(2, 3) |
D. |
(-2, -3) |
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Hint |
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8. |
Which is not a true statement about a translation? |
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A. |
The congruence of shapes is preserved in a translation. |
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B. |
A translation is often referred to as a glide. |
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C. |
A translation in the coordinate plane must reflect over the x-axis or y-axis. |
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D. |
The orientation of an image is the same as its preimage. |
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Hint |
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9. |
Triangle QRS with coordinates Q (3, 2), R (-2, 1) and S (1, -3) is rotated 180° on the coordinate plane. What are the coordinates of triangle Q'R'S'? |
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A. |
Q'(-2, -3), R'(2, -1), S'(-1, 3) |
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B. |
Q'(-3, -2), R'(2, -1), S'(-1, 3) |
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C. |
Q'(-2, -3), R'(-1, 2), S'(-1, 3) |
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D. |
Q'(-3, -2), R'(-2, -1), S'(-1, -3) |
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Hint |
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10. |
Which is not a true statement about rotations? |
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A. |
A rotation maintains collinearity. |
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B. |
A rotation maintains angle measure. |
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C. |
A rotation maintains orientation. |
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D. |
A rotation maintains distance measure. |
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Hint |
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11. |
A rectangle with length of 4 and width of 5 is enlarged by a scale factor of 3. What is the area of the enlargement? |
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A. |
56 square units |
B. |
60 square units |
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C. |
20 square units |
D. |
180 square units |
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Hint |
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12. |
Determine the direction of = to the nearest degree. |
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A. |
74° |
B. |
276° |
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C. |
344° |
D. |
16° |
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Hint |
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13. |
The vertex matrix of a triangle is . Find the vertex matrix of its image after a reflection in the origin. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Use a matrix to find the coordinates of the endpoints of the image of with A(-6, 6) and B(9, -8) after a reflection in the line y = x. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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