AMC12 Geometry 2

Question 1

A triangle has vertices (0,0), (4,0), and (0,3). What is its area?

Accepted Answer

6

Answer

Area=(1/2)*base*height=(1/2)(4)(3)=6.

Question 2

What is the sum of the interior angles of a hexagon?

Accepted Answer

720

Answer

The sum is (n-2)*180=(6-2)*180=720 degrees.

Question 3

A cylinder has radius 3 and height 4. What is its volume?

Accepted Answer

36pi

Answer

V=pi*r^2*h=pi(9)(4)=36pi.

Question 4

In a circle with radius 5, a chord is 8 units long. What is the distance from the center to the chord?

Accepted Answer

3

Answer

Half the chord is 4; distance=sqrt(25-16)=3.

Question 5

Isosceles triangle ABC has AB=AC=10 and BC=12. What is its area?

Accepted Answer

48

Answer

The altitude from A to BC is h=sqrt(100-36)=8; Area=(1/2)(12)(8)=48.

AMC12 - American Mathematics Competition 12 Practice Test