| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.65 |
| Score | 0% | 53% |
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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intersects |
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trisects |
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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.
If angle a = 26° and angle b = 69° what is the length of angle c?
| 85° | |
| 78° | |
| 82° | |
| 103° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 69° = 85°
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x - 3 | |
| y = -1\(\frac{1}{2}\)x + 0 | |
| y = 3x + 4 | |
| y = -\(\frac{1}{2}\)x - 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 -3. 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, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x - 3
Solve for a:
9a - 6 < -7 + 3a
| a < 1\(\frac{1}{4}\) | |
| a < -\(\frac{1}{6}\) | |
| a < 1\(\frac{4}{5}\) | |
| a < -1 |
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.
9a - 6 < -7 + 3a
9a < -7 + 3a + 6
9a - 3a < -7 + 6
6a < -1
a < \( \frac{-1}{6} \)
a < -\(\frac{1}{6}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.