| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.70 |
| Score | 0% | 54% |
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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trisects |
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intersects |
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bisects |
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 a = 5, b = 7, c = 9, and d = 4, what is the perimeter of this quadrilateral?
| 20 | |
| 25 | |
| 26 | |
| 28 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 7 + 9 + 4
p = 25
The dimensions of this cube are height (h) = 2, length (l) = 9, and width (w) = 7. What is the surface area?
| 102 | |
| 212 | |
| 216 | |
| 190 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 7) + (2 x 7 x 2) + (2 x 9 x 2)
sa = (126) + (28) + (36)
sa = 190
Solve 9b - 8b = 7b - 9z - 8 for b in terms of z.
| \(\frac{1}{2}\)z - \(\frac{1}{2}\) | |
| -z + 1\(\frac{1}{2}\) | |
| \(\frac{2}{9}\)z - \(\frac{1}{3}\) | |
| -\(\frac{1}{2}\)z - 4 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
9b - 8z = 7b - 9z - 8
9b = 7b - 9z - 8 + 8z
9b - 7b = -9z - 8 + 8z
2b = -z - 8
b = \( \frac{-z - 8}{2} \)
b = \( \frac{-z}{2} \) + \( \frac{-8}{2} \)
b = -\(\frac{1}{2}\)z - 4
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.