| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
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).
Simplify (y - 3)(y - 6)
| y2 - 3y - 18 | |
| y2 + 9y + 18 | |
| y2 + 3y - 18 | |
| y2 - 9y + 18 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 3)(y - 6)
(y x y) + (y x -6) + (-3 x y) + (-3 x -6)
y2 - 6y - 3y + 18
y2 - 9y + 18
If a = c = 9, b = d = 1, and the blue angle = 77°, what is the area of this parallelogram?
| 9 | |
| 8 | |
| 1 | |
| 14 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 1
a = 9
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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obtuse, acute |
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acute, obtuse |
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supplementary, vertical |
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).
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?
| 128π | |
| 12π | |
| 27π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 9)
v = 81π