| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
bisects |
|
midpoints |
|
intersects |
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.
Solve for b:
b2 - 3 = -3b + 1
| 2 or 2 | |
| -2 or -3 | |
| -3 or -9 | |
| 1 or -4 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 3 = -3b + 1
b2 - 3 - 1 = -3b
b2 + + 3b - 4 = 0
b2 + 3b - 4 = 0
Next, factor the quadratic equation:
b2 + 3b - 4 = 0
(b - 1)(b + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 4) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 4) = 0, b must equal -4
So the solution is that b = 1 or -4
On this circle, line segment CD is the:
circumference |
|
radius |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If angle a = 45° and angle b = 46° what is the length of angle c?
| 89° | |
| 102° | |
| 91° | |
| 63° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 45° - 46° = 89°
If a = c = 9, b = d = 4, what is the area of this rectangle?
| 36 | |
| 28 | |
| 18 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36