| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
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).
What is 2a + 5a?
| 7 | |
| 7a | |
| -3a2 | |
| 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.
2a + 5a = 7a
If angle a = 61° and angle b = 25° what is the length of angle d?
| 154° | |
| 141° | |
| 119° | |
| 160° |
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° - 61° - 25° = 94°
So, d° = 25° + 94° = 119°
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° - 61° = 119°
If angle a = 63° and angle b = 49° what is the length of angle c?
| 72° | |
| 103° | |
| 68° | |
| 98° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 63° - 49° = 68°
The dimensions of this trapezoid are a = 6, b = 3, c = 8, d = 4, and h = 4. What is the area?
| 12 | |
| 14 | |
| 10 | |
| 24 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 4)(4)
a = ½(7)(4)
a = ½(28) = \( \frac{28}{2} \)
a = 14