All SAT Math Resources
Example Questions
Example Question #1535 :Plane Geometry
Refer to the above diagram. The plane containing the above figure can be called Plane.
True
False
False
A plane can be named after any three points on the plane that arenoton the same line. As seen below, points,, andare on the same line.
Therefore, Planeis not a valid name for the plane.
Example Question #1543 :Basic Geometry
Refer to the above figure.
True or false:andcomprise a pair of opposite rays.
True
False
True
Two rays are opposite rays, by definition, if
(1) they have the same endpoint, and
(2) their union is a line.
The first letter in the name of a ray refers to its endpoint; the second refers to the name of any other point on the ray.andboth have endpoint, so the first criterion is met.passes through pointandpasses through point;andare indicated below in green and red, respectively:
The union of the two rays is a line. Both criteria are met, so the rays are indeed opposite.
Example Question #3 :New Sat Math Calculator
Refer to the above diagram:
True or false:may also called.
True
False
False
A line can be named after any two points it passes through. The lineis indicated in green below.
The line does not pass through, socannot be part of the name of the line. Specifically,is not a valid name.
Example Question #1587 :Basic Geometry
Refer to the above diagram.
True or false:andcomprise a pair of vertical angles.
True
False
False
By definition, two angles comprise a pair of vertical angles if
(1) they have the same vertex; and
(2) the union of the two angles is exactly a pair of intersecting lines.
In the figure below,andare marked in green and red, respectively:
While the two angles have the same vertex, their union is not a pair of intersecting lines. The two angles are not a vertical pair.
Example Question #1590 :Basic Geometry
Refer to the above diagram.
True or false:andcomprise a linear pair.
True
False
False
By definition, two angles form a linear pair if and only if
(1) they have the same vertex;
(2) they share a side; and,
(3) their interiors have no points in common.
In the figure below,andare marked in green and red, respectively:
The two angles have the same vertex and share no interior points. However, they do not share a side. Therefore, they do not comprise a linear pair.