| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If angle a = 21° and angle b = 58° what is the length of angle d?
| 147° | |
| 128° | |
| 159° | |
| 160° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 58° = 101°
So, d° = 58° + 101° = 159°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 21° = 159°
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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isosceles and right |
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equilateral and isosceles |
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equilateral, 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.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c - a |
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a2 - c2 |
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c2 + a2 |
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, \(c = \sqrt{a + b}\)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?
| 32π | |
| 576π | |
| 9π | |
| 75π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 9)
v = 9π