Busy. Please wait.
Log in with Clever
or

show password
Forgot Password?

Don't have an account?  Sign up 
Sign up using Clever
or

Username is available taken
show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.
Your email address is only used to allow you to reset your password. See our Privacy Policy and Terms of Service.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.

Parallel Lines and Transversals

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
        Help!  

Term
Definition
parallel lines   coplanar lines that do not intersect  
🗑
parallel planes   planes that do not intersect  
🗑
skew lines   lines that do not intersect and are not coplanar  
🗑
transversal   a line that intersects two or more coplanar lines at two different points  
🗑
same side (consecutive) interior angles   interior angles that lie on the same side of the transversal  
🗑
alternate interior angles   nonadjacent interior angles that line on opposite sides of the transversal  
🗑
alternate exterior angles   nonadjacent exterior angles that lie on opposite sides of the transversal  
🗑
corresponding angles   lie on the same side of the transversal and on the same side of the lines.  
🗑
Corresponding Angles Postulate   if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.  
🗑
Alternate Interior Angles Theorem   If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.  
🗑
Consecutive Interior Angles Theorem   If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.  
🗑
Alternate Exterior Angles Theorem   If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.  
🗑
Perpendicular Transversal Theorem   In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.  
🗑
slope   ratio of the change along the y-axis to the change along the x-axis between any two points on the line.  
🗑
Four Different Types of Slope   (positive slope, negative slope, zero slope, undefined slope)  
🗑
rate of change   how a quantity y changes in relationship to a quantity x.  
🗑
Slope of Parallel Lines Postulate   Two nonvertical lines have the same slope IFF they are parallel. Are vertical lines are parallel.  
🗑
Slope of Perpendicular Lines Postulate   Two nonvertical lines are perpendicular IFF the product of their slope is -1. Vertical and horizontal lines are perpendicular.  
🗑
Slope-Intercept Form   y=mx+b, where m is the slope of the line and b is the y intercept.  
🗑
point-slope form   y-y1=m(x-x1) where (x1,y1) is any point on the line and m is the slope of the line.  
🗑
Horizontal Line   The equation of a horizontal line is y=b where b is the y-intercept of the line.  
🗑
Vertical Line   The equation of a vertical line is x=a, where a is the x-intercept of the line.  
🗑
Postulate 3.4: Converse of Corresponding Angles Postulate   If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.  
🗑
Postulate 3.5 Parallel Postulate   If given a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line.  
🗑
Theorem 3.5 Alternate Exterior Angle Converse   If two lines in a plane are cut by a transversal so that a pair of alterate exterior angles is congruent, then the two lines are parallel.  
🗑
Theorem 3.6 Consecutive Interior Angles Converse   If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel.  
🗑
Theorem 3.7: Alternate Interior Angles Converse   If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel.  
🗑
Theorem 3.8: Perpendicular Transversal Converse   In a plane, if two lines are perpendicular to the same line, then they are parallell.  
🗑
Distance between a point and a line   The distance between a line and a point not on the line is the length of the segment perpendicular to the line from the point.  
🗑
Postulate 3.6 Perpendicular Postulate   If given a line and a point not on the line, then there exists exactly one line through the point that is perpendicular to the given line.  
🗑
equidistant   the distance between two lines measured along a perpendicular line to the lines is always the same.  
🗑
Distance between Parallel Lines   the distance betweeen 2 parallel lines is the perpendicular distance between one of the lines and any point on the other line.  
🗑
Theorem 3.9 Two Lines Equidistant from a Third   In a plane, if two lines are equidistant from a third line, then the two lines are parallel to each other.  
🗑


   

Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
 
To hide a column, click on the column name.
 
To hide the entire table, click on the "Hide All" button.
 
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
 
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.

 
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how
Created by: amgeometry
Popular Math sets