| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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midpoints |
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trisects |
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intersects |
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 endpoints of this line segment are at (-2, 2) and (2, 4). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 2 | |
| 1 | |
| -\(\frac{1}{2}\) |
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, 2) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If c = 6 and z = 2, what is the value of -9c(c - z)?
| -630 | |
| -216 | |
| -455 | |
| -28 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-9c(c - z)
-9(6)(6 - 2)
-9(6)(4)
(-54)(4)
-216
If side x = 11cm, side y = 5cm, and side z = 5cm what is the perimeter of this triangle?
| 28cm | |
| 40cm | |
| 21cm | |
| 38cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 5cm + 5cm = 21cm
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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y-intercept |
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x-intercept |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.