| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.62 |
| Score | 0% | 52% |
The endpoints of this line segment are at (-2, 5) and (2, -1). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| 3 | |
| -1\(\frac{1}{2}\) | |
| -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, 5) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)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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all acute angles equal each other |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and 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°).
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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right angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for c:
5c - 7 = \( \frac{c}{-2} \)
| \(\frac{8}{31}\) | |
| -\(\frac{25}{36}\) | |
| 1\(\frac{3}{11}\) | |
| -6\(\frac{2}{9}\) |
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 equal sign and the answer on the other.
5c - 7 = \( \frac{c}{-2} \)
-2 x (5c - 7) = c
(-2 x 5c) + (-2 x -7) = c
-10c + 14 = c
-10c + 14 - c = 0
-10c - c = -14
-11c = -14
c = \( \frac{-14}{-11} \)
c = 1\(\frac{3}{11}\)
If a = c = 2, b = d = 6, and the blue angle = 57°, what is the area of this parallelogram?
| 42 | |
| 9 | |
| 12 | |
| 56 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 6
a = 12