| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal length |
|
right angle |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If angle a = 45° and angle b = 50° what is the length of angle d?
| 135° | |
| 151° | |
| 115° | |
| 114° |
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° - 45° - 50° = 85°
So, d° = 50° + 85° = 135°
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° - 45° = 135°
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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acute, obtuse |
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supplementary, vertical |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
If a = 4 and y = -4, what is the value of 2a(a - y)?
| 64 | |
| -16 | |
| 1088 | |
| 108 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
2a(a - y)
2(4)(4 + 4)
2(4)(8)
(8)(8)
64
If a = 3, b = 6, c = 9, and d = 2, what is the perimeter of this quadrilateral?
| 25 | |
| 22 | |
| 20 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 6 + 9 + 2
p = 20