| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.62 |
| Score | 0% | 52% |
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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).
The dimensions of this cylinder are height (h) = 2 and radius (r) = 8. What is the surface area?
| 16π | |
| 224π | |
| 160π | |
| 104π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 2)
sa = 2π(64) + 2π(16)
sa = (2 x 64)π + (2 x 16)π
sa = 128π + 32π
sa = 160π
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If side a = 4, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{18} \) | |
| \( \sqrt{5} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 92
c2 = 16 + 81
c2 = 97
c = \( \sqrt{97} \)
The endpoints of this line segment are at (-2, 6) and (2, 0). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x + 1 | |
| y = -1\(\frac{1}{2}\)x + 3 | |
| y = 3x - 3 | |
| y = 2x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x + 3