ACT Practice - Plane Geometry

What is the degree measure of the smallest angle in this figure of two straight intersecting lines?

• 30

• 50

• 130

• 180

• 360

If Mike walks 10 feet north and 24 feet east on a flat surface, what is the shortest straight-line distance from his original spot?

• 12 feet

• 13 feet

• 20 feet

• 26 feet

• 42 feet

We are able to determine the measure(s) of which of the following angle(s) in the figure composed of straight lines?

• None of them

• A only

• A and C only

• A, B, and C only

• All of the lettered angles

What is the area in square units of the triangle in the coordinate plane below?

• 6

• 9

• 12

• 18

• It cannot be determined with the given information

Sam is drawing a pie chart to illustrate his monthly expenses. If he spends $500 on rent, $300 on food, $300 on transportation, and $400 on miscellaneous expenses with no other expenses, what will the degree measure be of the sector devoted to miscellaneous expenses?

• 26

• 27

• 96

• 131

• 200

How many more square inches of pizza will Jane have if she orders an extra-large 16-inch diameter pizza instead of a 14-inch large diameter pizza, to the nearest whole square inch?

• 2

• 6

• 7

• 47

• 188

In the rectangle above, how many angles that are formed by the sides and diagonals are complementary to angle

 $\theta$  ?

• None

• 1

• 2

• 3

• 4

What is the area of the square inscribed in a circle that has a radius of 2?

• 4

• 8

• 16

• 18

• 24

A totally full cylindrical bin of ice cream has a height of 24 inches and a diameter of 12 inches. Paul uses his ice cream scoop to take out two semi-spheres of radius 2 inches out of the bin to make an ice cream cone. The volume of a sphere is given by the formula

 $\frac{4}{3}\pi r^3$  , where r represents the radius of the sphere.  After Paul has done this, what is the volume of ice cream remaining in the bin?

•  $114\pi$  

•  $360\pi-\frac{5}{3}\pi$  

•  $864\pi-\frac{1}{3}\pi$  

•  $864\pi-\frac{32}{3}\pi$  

•  $3,456\pi-\frac{32}{3}\pi$  

In the regular hexagon below, what is the degree measure of exterior angle M?

• 60

• 120

• 200

• 240

• 260