| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral and right |
|
equilateral, isosceles and right |
|
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.
If angle a = 47° and angle b = 39° what is the length of angle d?
| 137° | |
| 131° | |
| 133° | |
| 122° |
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° - 47° - 39° = 94°
So, d° = 39° + 94° = 133°
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° - 47° = 133°
If side x = 13cm, side y = 13cm, and side z = 10cm what is the perimeter of this triangle?
| 36cm | |
| 29cm | |
| 30cm | |
| 21cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 13cm + 10cm = 36cm
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 3. What is the volume?
| 21 | |
| 96 | |
| 72 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 1 x 3
v = 21