| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
If a = 1, b = 1, c = 7, and d = 2, what is the perimeter of this quadrilateral?
| 11 | |
| 22 | |
| 20 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 1 + 7 + 2
p = 11
A right angle measures:
360° |
|
180° |
|
90° |
|
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.
If angle a = 26° and angle b = 42° what is the length of angle d?
| 154° | |
| 160° | |
| 117° | |
| 141° |
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° - 26° - 42° = 112°
So, d° = 42° + 112° = 154°
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° - 26° = 154°
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
equal length |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for b:
6b - 8 > \( \frac{b}{1} \)
| b > 1\(\frac{17}{28}\) | |
| b > 1\(\frac{3}{5}\) | |
| b > -1\(\frac{1}{5}\) | |
| b > -2 |
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.
6b - 8 > \( \frac{b}{1} \)
1 x (6b - 8) > b
(1 x 6b) + (1 x -8) > b
6b - 8 > b
6b - 8 - b > 0
6b - b > 8
5b > 8
b > \( \frac{8}{5} \)
b > 1\(\frac{3}{5}\)