Chapter 1
What term describes two lines that lie in the same plane and never intersect?
Parallel Lines
Find a counter example if possible:
The sum of two integers is always positive.
Hopefully you got it right
Transversal: a ______________ that ________two or more ___________.
line, intersects, lines
What do you call two angles that share a vertex and a side?
Adjacent angles
When was MLK day this year?
January 19th
What term describes a figure made of two endpoints connected by a straight path?
Line Segment
What property is shown:
XY≅WZ, so WZ≅XY
Symmetric Property of Congruence
True or false
Vertical Lines prove that two lines are parallel.
False
Complementary Angles: A _________________ of angles whose sum is ___________________.
pair, 90
In 1963, Martin gave his famous “___________” speech
I Have a Dream
What are the addition rules for angles and segments called?
Segment Addition Postulate and Angle Addition Postulate
What property is shown:
If AB=CD and CD=EF, then AB=EF
Transitive Property of Equality
If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. What theorem was stated?
Consecutive Interior Angles Converse
If two lines are cut by a transversal so the alternate interior angles are __________, then the lines are __________.
congruent, parallel
In October 1964, Martin won the________
Nobel Piece Prize
If DF= 3x+6, DE=4x-7, and EF= 8, then x=
x=7
Rewrite the following conditional statement as the Converse, and Contrapositive. Then determine if each statement is true or false.
“If you are a guitar player, then you are a musician.”
● Converse:
● Contrapositive:
Converse: If you are a musician, then you are a guitar player.
Contrapositive: If you are not a musician, then you are not a guitar player.
Def: Exterior angles, non-adjacent, and on opposite sides of the transversal
Alternate Exterior Angles
Use inductive reasoning to connect the next number in the sequence.
0, 2, 6, 12, 20, . . .
30
Martin Luther King Jr is remembered for his tireless work during the Civil Rights Movement and his dream that one day everyone would be treated as equals. A statue built in his memory now stands in__________.
Washington D.C
Find AB given A(− 4, 1) and B(3, − 1).
sqrt of 53
3 + 4(x – 2) = 27
PROVE: x = 8
Mr. Doughty will check
Lines l and m are cut by a transversal. If one alternate interior angle measures 3x+10 and the other measures 5x−30, when are the lines parallel?
When x=20
Determine if these angle relationships are congruent or supplementary when lines are parallel.
Alt Interior:
Corresponding:
Same Side Interior:
Alt Exterior:
Linear Pair:
Vertical:
Alt Interior: C
Corresponding: C
Same Side Interior: S
Alt Exterior: C
Linear Pair: S
Vertical: C
Vertical and Linear Pair are always congruent/supplementary.
When his MLK Jr's birthday
January 15, 1929