| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
|
supplementary, vertical |
|
acute, obtuse |
|
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 = c = 3, b = d = 5, what is the area of this rectangle?
| 5 | |
| 36 | |
| 15 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 5
a = 15
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
intersects |
|
midpoints |
|
trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Simplify (y + 6)(y + 9)
| y2 + 3y - 54 | |
| y2 - 3y - 54 | |
| y2 - 15y + 54 | |
| y2 + 15y + 54 |
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 + 6)(y + 9)
(y x y) + (y x 9) + (6 x y) + (6 x 9)
y2 + 9y + 6y + 54
y2 + 15y + 54
What is 9a - 8a?
| 72a2 | |
| 1a | |
| a2 | |
| 1 |
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.
9a - 8a = 1a