| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.29 |
| Score | 0% | 46% |
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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isosceles and right |
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equilateral, isosceles and right |
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equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Solve for b:
9b - 4 > \( \frac{b}{1} \)
| b > \(\frac{5}{13}\) | |
| b > -1 | |
| b > -1\(\frac{29}{34}\) | |
| b > \(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
9b - 4 > \( \frac{b}{1} \)
1 x (9b - 4) > b
(1 x 9b) + (1 x -4) > b
9b - 4 > b
9b - 4 - b > 0
9b - b > 4
8b > 4
b > \( \frac{4}{8} \)
b > \(\frac{1}{2}\)
The endpoints of this line segment are at (-2, -2) and (2, 0). What is the slope of this line?
| 2 | |
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) |
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, -2) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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intersects |
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bisects |
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midpoints |
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.
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
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slope |
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y-intercept |
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x-intercept |
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.