Triangles & Polygons
What is the sum of the interior angles of any triangle?
180º
What quadrant is the point (-1, 3) in?
How many degrees are in a circle?
What is the line where two faces meet called?
Edge
Imagine a heavy metal cube and a hollow plastic cube of the exact same size. Which one has a greater surface area?
They have the exact same surface area.
What is the sum of the interior angles of a hexagon (6 sides)?
720º
In the equation y=mx+b, what does the letter m represent?
The slope
What is the difference between a chord and a secant line?
A chord is a line segment with both endpoints on the circle. A secant is a line that intersects the circle at two points (and continues through it).
What is the term for a 3D shape with flat faces, straight edges, and sharp vertices (like a cube or pyramid)?
A polyhedron
If you look straight down at a soup can (cylinder) from the top, what 2D shape does it look like?
Circle
What does the Triangle Inequality Theorem state?
The sum of any two sides of a triangle must be greater than the third side?
What type of transformation involves changing the size of the shape?
Dilation
If a circle has a radius of 6 cm, what is its area in terms of pi?
36π cm2
What is Euler's Formula for polyhedra?
F + V = E + 2
What is the formula for the surface area of a rectangular prism?
A=2(wl+hl+hw)
Which rule for triangle congruence is exclusive to right triangles?
HL (Hypotenuse-Leg)
You are given two points: (−3,4) and (1,−1). What is the midpoint?
(−1,1.5)
Convert 60º into radians.
π/3 radians
What is the formula for the volume of a square pyramid?
V = (1/3)Bh
If you double every side length of a square, its perimeter doubles. What happens to its area?
It quadruples (multiplies by 4)
You are given two triangles: △ABC and △DEF. If AB=5, BC=4, AC = 9, DE=20, EF=16, and DF=36, are the triangles congruent or similar, and by what rule?
Similar by SSS (Side-Side-Side)
You are given two points: (−3,4) and (1,−1). What is the distance between them?
√41
What is the general equation of a circle with center (h,k) and radius r?
(x−h)2 + (y−k)2 = r2
If a cylinder has a radius of 3 cm and a height of 10 cm, what is its exact volume in terms of pi?
90π cm3
We know with 2D shapes, they use the x-axis and y-axis. In 3D shapes, what is the axis of the 3rd dimension called?