| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If a = 3, b = 1, c = 3, and d = 9, what is the perimeter of this quadrilateral?
| 20 | |
| 16 | |
| 14 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 3 + 9
p = 16
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
equal length |
|
parallel |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If the base of this triangle is 1 and the height is 9, what is the area?
| 4\(\frac{1}{2}\) | |
| 30 | |
| 60 | |
| 55 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 9 = \( \frac{9}{2} \) = 4\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, 0) and (2, 4). What is the slope of this line?
| 3 | |
| 1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 1 |
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, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
The endpoints of this line segment are at (-2, 4) and (2, -8). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = x - 3 | |
| y = 2\(\frac{1}{2}\)x - 4 | |
| y = -3x - 2 |
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 -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, 4) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 2