| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
On this circle, line segment CD is the:
radius |
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diameter |
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chord |
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circumference |
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).
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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all of the angles formed by a transversal are called interior angles |
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°).
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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bisects |
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trisects |
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midpoints |
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.
If side a = 9, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{128} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{52} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 42
c2 = 81 + 16
c2 = 97
c = \( \sqrt{97} \)
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 3. What is the volume?
| 30 | |
| 216 | |
| 96 | |
| 36 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 3
v = 216