| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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equal angle |
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parallel |
A trapezoid is a quadrilateral with one set of parallel sides.
On this circle, line segment AB is the:
diameter |
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circumference |
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radius |
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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).
If a = 3, b = 1, c = 7, and d = 3, what is the perimeter of this quadrilateral?
| 15 | |
| 22 | |
| 21 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 7 + 3
p = 14
Solve for c:
8c - 5 = 7 + 3c
| 2\(\frac{2}{5}\) | |
| \(\frac{1}{3}\) | |
| 6 | |
| -\(\frac{4}{5}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
8c - 5 = 7 + 3c
8c = 7 + 3c + 5
8c - 3c = 7 + 5
5c = 12
c = \( \frac{12}{5} \)
c = 2\(\frac{2}{5}\)
Which of the following statements about parallel lines with a transversal is not correct?
all of the angles formed by a transversal are called interior angles |
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all acute angles equal each other |
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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 |
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°).