| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.64 |
| Score | 0% | 53% |
The dimensions of this trapezoid are a = 6, b = 2, c = 8, d = 3, and h = 5. What is the area?
| 13\(\frac{1}{2}\) | |
| 26 | |
| 27\(\frac{1}{2}\) | |
| 12\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 3)(5)
a = ½(5)(5)
a = ½(25) = \( \frac{25}{2} \)
a = 12\(\frac{1}{2}\)
If AD = 27 and BD = 17, AB = ?
| 7 | |
| 17 | |
| 15 | |
| 10 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhich types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and right |
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isosceles and right |
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equilateral and isosceles |
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 z:
8z - 9 < \( \frac{z}{-4} \)
| z < 1\(\frac{1}{11}\) | |
| z < -2\(\frac{2}{3}\) | |
| z < \(\frac{72}{73}\) | |
| z < 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.
8z - 9 < \( \frac{z}{-4} \)
-4 x (8z - 9) < z
(-4 x 8z) + (-4 x -9) < z
-32z + 36 < z
-32z + 36 - z < 0
-32z - z < -36
-33z < -36
z < \( \frac{-36}{-33} \)
z < 1\(\frac{1}{11}\)
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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all acute angles equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).