| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 3, length (l) = 4, and width (w) = 3. What is the volume?
| 21 | |
| 36 | |
| 108 | |
| 216 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 4 x 3
v = 36
If side x = 15cm, side y = 13cm, and side z = 13cm what is the perimeter of this triangle?
| 38cm | |
| 32cm | |
| 28cm | |
| 41cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 13cm + 13cm = 41cm
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
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c2 - a2 |
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c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
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 |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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all acute angles 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°).
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).