| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If a = c = 7, b = d = 2, and the blue angle = 63°, what is the area of this parallelogram?
| 3 | |
| 14 | |
| 36 | |
| 27 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 2
a = 14
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
pairs |
|
exponents |
|
division |
When solving an equation with two variables, 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.)
What is 7a + 3a?
| 10a | |
| a2 | |
| 21a | |
| 10a2 |
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.
7a + 3a = 10a
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
angles in the same position on different parallel lines are called corresponding angles |
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°).
If angle a = 20° and angle b = 53° what is the length of angle d?
| 144° | |
| 160° | |
| 145° | |
| 112° |
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° - 20° - 53° = 107°
So, d° = 53° + 107° = 160°
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° - 20° = 160°