Conditional Statements
Find the converse of the conditional statement that is on the board.
"If a triangle is an isosceles triangle, then the triangle has two congruent sides."
6x=18
x=3
Parallel lines that form a straight lines add up to....
180 degrees
TRUE OR FALSE: The angles in a triangle add up to 180 degrees.
TRUE
What are the 3 transformations?
Reflection, Rotation, and Translations.
Find the inverse of the conditional statement that is on the board.
"If a triangle does not have 2 congruent angles, then it is not an isosceles triangle."
2y+3x+5x-2-2y
8x-2
same side interior angles are...
supplementary
Name the 5 triangle congruence theorems.
SSS, SAS, ASA, AAS, HL
What does a translation do?
Moves the image across the plane without changing the direction.
Find the contrapositive of the conditional statement that is on the board.
"If a triangle is not an isosceles triangle, then it does not have 2 congruent angles."
3x+5=11
x=2
Are the two lines parallel or perpendicular? Why?
y=4x+2
y=4x-12
Parallel because their slopes are the same.
Analyze the triangle on the board, describe what theorem you could use to conclude congruence.
What does a Reflection do?
it flips the image using a line. Similar to a mirror.
If Ms. Gomez eats a whole pizza, then she is full. Ms. Gomez ate a whole pizza.
What is the conclusion?
Ms. Gomez is full.
x-1=5x+3x-8
x=1
Are the following lines parallel, perpendicular or neither.
y=7x
y=-7x +1
Neither!
What 3 things must you check for to use theorem HL.
1. That we have right triangles.
2. That we have congruent Hypothenuses.
3. That we have congruent legs.
When two transformations are done on the same image we called that a...
Composition
What is the notation of a conditional statement?
p -->q
3x+3x-20=22
x=7
Describe alternating exterior angles. Are they supplementary or congruent.
Alternating exterior angles are congruent and they are located outside the parallel lines but on opposite sides of the transversal.
What are the 5 triangle congruence theorems used for?
to determine congruency between 2 triangles.
Every quadrant in a x, y plane represents how many degrees?
90 degrees!