| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
If the base of this triangle is 7 and the height is 8, what is the area?
| 32 | |
| 28 | |
| 21 | |
| 35 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 8 = \( \frac{56}{2} \) = 28
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
intersects |
|
bisects |
|
midpoints |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
exponents |
|
division |
|
pairs |
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.)
Simplify (y + 6)(y + 2)
| y2 + 8y + 12 | |
| y2 - 4y - 12 | |
| y2 + 4y - 12 | |
| y2 - 8y + 12 |
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 + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y2 + 2y + 6y + 12
y2 + 8y + 12
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
same-side interior angles are complementary and equal each other |
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°).