| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.63 |
| Score | 0% | 53% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
rhombus |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If angle a = 65° and angle b = 46° what is the length of angle d?
| 115° | |
| 137° | |
| 158° | |
| 131° |
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° - 65° - 46° = 69°
So, d° = 46° + 69° = 115°
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° - 65° = 115°
If the base of this triangle is 4 and the height is 9, what is the area?
| 48 | |
| 90 | |
| 18 | |
| 42 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 9 = \( \frac{36}{2} \) = 18
The endpoints of this line segment are at (-2, -4) and (2, 6). What is the slope of this line?
| -2 | |
| 1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| 2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)