Coordinate Plane
What is the name of the point (0,0) where the x-axis and y-axis intersect?
The origin
In the formula a2+b2=c2, what does the 'c' represent?
The hypotenuse (the longest side).
What is the formula for the volume of a rectangular prism?
V=l⋅w⋅h.
In which quadrant would you find the point (−4,−7)?
Quadrant III.
True or False: A right triangle can have more than one right angle.
False (the sum of angles must be 180°).
Use the Pythagorean theorem to find the distance between (0,0) and (3,4).
5 units
A line passes through (2,5) and (4,9). What is the slope of this line?
2 (using m=x2−x1y2−y1).
A right triangle has legs of 3cm and 4cm. What is the length of the hypotenuse?
5cm
How do you find the volume of a cylinder?
V=πr2h.
If one acute angle of a right triangle is 35°, what is the measure of the other acute angle?
55°
Find the length of a diagonal of a rectangular prism with sides 3, 4, and 12.
13 (using d2=l2+w2+h2).
If you have a cone and a cylinder with the same height and radius, the volume of the cone is what fraction of the cylinder's volume?
1/3
What is the distance between (1,2) and (4,6)?
5 units (using d=(x2−x1)2+(y2−y1)2).