| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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obtuse, acute |
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supplementary, vertical |
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acute, obtuse |
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 = 8, what is the area of this rectangle?
| 6 | |
| 27 | |
| 72 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 8
a = 24
The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 7. What is the surface area?
| 72 | |
| 292 | |
| 66 | |
| 100 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 7) + (2 x 7 x 2) + (2 x 4 x 2)
sa = (56) + (28) + (16)
sa = 100
If side a = 2, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{40} \) | |
| \( \sqrt{89} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 72
c2 = 4 + 49
c2 = 53
c = \( \sqrt{53} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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trapezoid |
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rhombus |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.