| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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the area is length x width |
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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).
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and right |
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equilateral and isosceles |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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parallel |
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right angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
Find the value of a:
-6a + x = 5
3a + 4x = -9
| \(\frac{3}{4}\) | |
| -3\(\frac{7}{10}\) | |
| -1\(\frac{2}{27}\) | |
| -\(\frac{9}{19}\) |
You need to find the value of a so solve the first equation in terms of x:
-6a + x = 5
x = 5 + 6a
then substitute the result (5 - -6a) into the second equation:
3a + 4(5 + 6a) = -9
3a + (4 x 5) + (4 x 6a) = -9
3a + 20 + 24a = -9
3a + 24a = -9 - 20
27a = -29
a = \( \frac{-29}{27} \)
a = -1\(\frac{2}{27}\)
On this circle, line segment AB is the:
radius |
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chord |
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diameter |
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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).