| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.28 |
| Score | 0% | 46% |
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve -4a - a = a - 7x - 4 for a in terms of x.
| -\(\frac{1}{2}\)x + 1 | |
| 1\(\frac{1}{5}\)x + \(\frac{4}{5}\) | |
| -\(\frac{7}{13}\)x - \(\frac{3}{13}\) | |
| -2x + \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-4a - x = a - 7x - 4
-4a = a - 7x - 4 + x
-4a - a = -7x - 4 + x
-5a = -6x - 4
a = \( \frac{-6x - 4}{-5} \)
a = \( \frac{-6x}{-5} \) + \( \frac{-4}{-5} \)
a = 1\(\frac{1}{5}\)x + \(\frac{4}{5}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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triangle |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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intersects |
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trisects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the surface area?
| 96π | |
| 210π | |
| 208π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π