| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
The dimensions of this trapezoid are a = 4, b = 2, c = 5, d = 3, and h = 3. What is the area?
| 35 | |
| 19\(\frac{1}{2}\) | |
| 30 | |
| 7\(\frac{1}{2}\) |
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)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)
If angle a = 40° and angle b = 27° what is the length of angle c?
| 104° | |
| 59° | |
| 85° | |
| 113° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 27° = 113°
If a = c = 8, b = d = 4, and the blue angle = 76°, what is the area of this parallelogram?
| 35 | |
| 18 | |
| 32 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 4
a = 32
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 |
|
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°).
Simplify (y + 8)(y - 9)
| y2 - 17y + 72 | |
| y2 + y - 72 | |
| y2 - y - 72 | |
| y2 + 17y + 72 |
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:
(y + 8)(y - 9)
(y x y) + (y x -9) + (8 x y) + (8 x -9)
y2 - 9y + 8y - 72
y2 - y - 72