| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
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all acute angles equal each other |
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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 |
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°).
If a = 2, b = 9, c = 7, and d = 7, what is the perimeter of this quadrilateral?
| 19 | |
| 25 | |
| 33 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 2 + 9 + 7 + 7
p = 25
If a = c = 6, b = d = 4, what is the area of this rectangle?
| 4 | |
| 24 | |
| 14 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 4
a = 24
If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{145} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)
Which of the following expressions contains exactly two terms?
quadratic |
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monomial |
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binomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.