| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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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°).
Simplify 5a x 3b.
| 15\( \frac{b}{a} \) | |
| 8ab | |
| 15ab | |
| 15a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 3b = (5 x 3) (a x b) = 15ab
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 4. What is the surface area?
| 256 | |
| 212 | |
| 88 | |
| 202 |
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 6 x 4) + (2 x 4 x 2) + (2 x 6 x 2)
sa = (48) + (16) + (24)
sa = 88
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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trapezoid |
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quadrilateral |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 1 | |
| \(\frac{1}{2}\) |
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, 1) and (2, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)