| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = c = 9, b = d = 8, and the blue angle = 54°, what is the area of this parallelogram?
| 54 | |
| 25 | |
| 72 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 8
a = 72
The dimensions of this trapezoid are a = 6, b = 5, c = 8, d = 9, and h = 5. What is the area?
| 30 | |
| 34 | |
| 14 | |
| 35 |
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(5 + 9)(5)
a = ½(14)(5)
a = ½(70) = \( \frac{70}{2} \)
a = 35
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 |
|
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding 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°).
What is 2a + 9a?
| 11 | |
| 18a2 | |
| 11a | |
| 18a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a + 9a = 11a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Odd |
|
Last |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.