GMAT Math : Understanding intersecting lines
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Example Questions
Example Question #42 : Lines
Which is another name for 
The middle letter of an angle must be its vertex, so the vertex of 
An angle can be named after its vertex alone as long as it is the only angle with that vertex. This is not the case here, so 
The first and last letters of a three-letter angle name must be points on different sides of the angle. 
Example Question #43 : Lines
Which of the following is not a valid name for the triangle in the above diagram?
All of the names in the other four choices are valid names for the triangle.
All of the names in the other four choices are valid names for the triangle.
A triangle can be named after its three vertices in any order. Since the vertices of the triangle are 
Example Question #44 : Lines
Refer to the above diagram.
Which of the following is not a valid alternative name for 
An angle can be given a name with three letters if the middle letter is the name of the vertex and the other two letters denote points on different sides of the angle. All four of the three-letter choices fit this description.
An angle can be given a one-letter name if the letter is the name of the vertex and if it is the only angle shown in the diagram to have that vertex (thereby avoiding ambiguity). There are four angles in the diagram with vertex 
Example Question #4 : Understanding Intersecting Lines
There is no angle that forms a linear pair with 
Two angles form a linear pair if they have the same vertex, they share one side, and their interiors do not intersect. 
Example Question #1 : Understanding Intersecting Lines
Note: Figure NOT drawn to scale.
Refer to the above diagram. Which is a valid alternative name for 
A line segment is named after its two endpoints in either order; 
Example Question #3 : Understanding Intersecting Lines
There is no angle that forms a vertical pair with 
Two angles are vertical if they have the same vertex and if their sides form two pairs of opposite rays. The correct choice will have vertex 
Example Question #3 : Understanding Intersecting Lines
At what point do 
To find where two lines intersect, simply set them equal to each other and solve for 
Add 
So, 
So, the 
This makes the coordinate of our intersection 
You can check your answer by plugging in the point you calculated into both equations. Both equations will be true when 
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