Partitioning A Segment
Define partition & ratio.
What is divided into parts and a comparison of the whole; parts of the whole.
A postulate that states, if a transversal intersects two parallel lines, then corresponding angles are congruent.
What is the Corresponding Angles Postulate?
Postulate that states, if two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.
What is the Converse of the Corresponding Angles Postulate?
This linear equation form? Y=mx+b
What is slope Intercept Form?
Given the coordinates A(1, 4) and B(7, 4), find the point P that partitions the line segment into the ratio 1 to 1.
What is (4,4).
Theorem that states, If a transversal intersects two parallel lines, then alternate interior angles are congruent.
What is the Alternate Interior Angles Theorem?
Theorem that states, if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.
What is the Converse of the Alternate Interior Angles Theorem?
Y=1/5x+2 ^ What is 1/5?
What is slope?
Using the given ratio of 1 to 2, Find the point P that partitions the line segment formed by the endpoints A(-2,1) and B(4,4).
What is (0,2).
Parallel Lines have?
What is same slope and different Y-intercepts
When the transversal is perpendicular to two parallel lines, the alternate exterior angles will measure:
What is 90 degrees.
Theorem that states, if two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.
What is the Consecutive Interior Angles Converse Theorem?
If two non vertical lines are perpendicular, then the product of their slope is...
What is -1?
A line segment is formed by the endpoints A(-6,2) and B(6,-2). Find point P that will partition this line segment into the ratio 1:3 (1 to 3).
What is (-5,5).
Solve for x: 55+x+105=180
What is x=20?
Theorem that states, if two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.
What is the Converse of the Alternate Exterior Angles Theorem?
Numbers with products -1 are...
What are opposite reciprocals (Negative Reciprocals)?
Tom works at a coffee shop located on 1st Ave.(X) and 1st Street(Y). His friend Kaleb lives on the corner of 1st Ave. and 6th Street. Every Saturday they go to the Arcade which is located 3 to 2 ratio of the way between them. Where is the Arcade located?
What is 1st Ave. & 4th Street.
Which of the following is not a reason for proving two lines parallel: A-The lines are both perpendicular to the same line. B-Corresponding angles are congruent. C-Vertical angles are congruent. D-The lines are both parallel to the same line.
What is C?
If a transversal cuts through a pair of parallel lines and one of the same-side interior angles is 54, then the other angle must be:
What is 126 degrees?
True or False, line 1 and line 2 are perpendicular. Line 1: slope is -3/2 Line 2: slope is 2/3
What is true?