| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this trapezoid are a = 5, b = 2, c = 6, d = 9, and h = 4. What is the area?
| 32\(\frac{1}{2}\) | |
| 22 | |
| 18 | |
| 21 |
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 + 9)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22
If angle a = 56° and angle b = 45° what is the length of angle d?
| 153° | |
| 124° | |
| 125° | |
| 160° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 56° - 45° = 79°
So, d° = 45° + 79° = 124°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 56° = 124°
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
right angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
A right angle measures:
90° |
|
360° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for c:
5c - 6 > 7 + 4c
| c > -1\(\frac{1}{7}\) | |
| c > -\(\frac{4}{9}\) | |
| c > 1 | |
| c > 13 |
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 > sign and the answer on the other.
5c - 6 > 7 + 4c
5c > 7 + 4c + 6
5c - 4c > 7 + 6
c > 13