| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.52 |
| Score | 0% | 50% |
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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intersects |
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midpoints |
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trisects |
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.
Simplify (y - 4)(y + 7)
| y2 + 3y - 28 | |
| y2 + 11y + 28 | |
| y2 - 3y - 28 | |
| y2 - 11y + 28 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y + 7)
(y x y) + (y x 7) + (-4 x y) + (-4 x 7)
y2 + 7y - 4y - 28
y2 + 3y - 28
The formula for the area of a circle is which of the following?
c = π r |
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c = π d2 |
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c = π d |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If side a = 2, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{80} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 92
c2 = 4 + 81
c2 = 85
c = \( \sqrt{85} \)
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.