Theorems
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
What is the Corresponding Angles Theorem?
P lies in the interior of RST. the measure of angle RSP = 40˚ and the measure of angle TSP=10˚.
The measure of angle RST=
What is 50˚
Write the statement in IF-THEN form. The sum of two even numbers is even.
What is If two even numbers are summed then the answer will be even.
Given the coordinates B(5,-3) and C(-2,-2).
The slope of line BC is _________.
What is -1/7 ?
Name the vertical pairs
What is 1 and 4, 2 and 3, 5 and 8, 6 and 7
If two lines are cut by a transversal so the same-side interior angles are supplementary, then the lines are parallel.
What is the Same-Side (or Consecutive) Interior Angles Converse Theorem?
Angles P and Q are complementary. The measure of angle P = 3x+7 and the measure of angle Q = x+3.
x=_____
What is 20
Write the inverse of the statement: If it rains today, then it is not sunny tomorrow.
What is If it does not rain today, then it is sunny tomorrow.
Given the coordinates A(1,4), B(3,-3).
The slope of a line parallel to AB is ________.
What is -7/2 ?
Name the corresponding angles
What is 1 and 5, 3 and 7, 2 and 6, 4 and 8
If two lines are parallel to the same line, then they are parallel to each other.
What is the Transitive Property of Parallel Lines Theorem?
Angles P and Q are supplementary. The measure of angle P = 5x+3 and the measure of angle Q = x+3.
x=_____
What is 29
Write the converse of the statement: If today is Thursday, then tomorrow is Friday.
What is If tomorrow is Friday, then today is Thursday.
Given the coordinates A(0,3), B(5,-3). The equation of the line AB is ___________.
What is y = (-6/5)x + 3 ?
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
What is the Linear Pair Perpendicular Theorem?
Ray QS bisects angle PQR. If the measure of angle PQS = 3x and the measure of angle RQS = 2x+6,
then mPQR=____.
What is 36˚
Write a converse statement given: If I do good in high school, then I can go to college
What is If I go to college, then I did good in high school.
Given the equation of line AB is y = -2x - 7,
the equation of the line parallel to line AB and goes through (-4, 3) is _________
What is y = -2x - 5 ?
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
What is the Lines Perpendicular to a Transversal Theorem?
The distance formula.
What is d = _________________?
Write the contrapositive of the statement: If I fail my test, then i did not study.
What is If I study then I pass my test.
Given the equation of line AB is y = (2/3)x +8,
the equation of the line perpendicular to line AB going though point (6, -3) is ____________
What is y = (-3/2)x +6 ?