| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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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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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).
If a = c = 9, b = d = 4, what is the area of this rectangle?
| 24 | |
| 36 | |
| 35 | |
| 4 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36
If side x = 13cm, side y = 5cm, and side z = 6cm what is the perimeter of this triangle?
| 37cm | |
| 24cm | |
| 32cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 5cm + 6cm = 24cm
The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?
| -3 | |
| 1 | |
| 1\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) |
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, 0) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Simplify (y - 2)(y + 1)
| y2 - 3y + 2 | |
| y2 - y - 2 | |
| y2 + 3y + 2 | |
| y2 + y - 2 |
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 - 2)(y + 1)
(y x y) + (y x 1) + (-2 x y) + (-2 x 1)
y2 + y - 2y - 2
y2 - y - 2