This is what we call a triangle that has at least 2 congruent sides
Isosocles
SSS, SAS, ASA, AAS, and HL are all theorems/postulates in triangle congruence. What do they stand for?
side side side, side angle side, angle side angle, angle angle side, hypotenuse leg
What is the equation of a line perpendicular to: y=1/4x-6
y=-4x+ whatever you want
The converse of the statement: If it is raining, then it is wet outside.
If it is wet outside, then it is raining.
Find the next number is the pattern: 4, 6, 10, 16,____
24
Two lines that do not intersect on different planes
Skew Lines
Angle Addition Postulate
Three angles in a triangle are in the ratio of 3:4:5, what is the measure of the smallest angle?
45 degrees
The inverse of the statement: If Ms. Montana likes chocolate chip cookies, then she has a sweet tooth.
If Ms. Montana does not like chocolate chip cookies, then she does not have a sweet tooth.
What are the three similarity theorems we can use to show triangles are similar?
AA, SAS, SSS
Centroid
Can be used to prove lines parallel
Alt. Int (Consecutive Int.)Angles Converse
Corresponding Angles Converse
Alt. Exterior Angles Converse
Factor the following: 2x2+10x-12
2(x+6)(x-1)
The contrapositive of the statement: If a triangle is scalene, then it has 3 different side lengths.
If a triangle does not have 3 different side lengths, then it is not scalene.
It is possible to construct a triangle with the following lengths: 10, 15, 35
NO :(
This means having proportional sides and congruent angles
This theorem & its' converse can help us identify isosceles triangles
Base Angles Theorem
See the board for this question. Solve for 11
AB=15
Draw a conclusion if possible: All dogs love to play fetch. My pet does not love to play fetch.
My pet is not a dog.
Always, sometimes, never: Lines that never intersect are parallel
sometimes, they can be skew
A midsegment...(2 properties)
connects the midpoints of opposite sides of a triangle and is 1/2 of the side opposite of it
Look at the proof that will be shown in a moment
Ms. Montana will tell you if you are correct or not
Centroid Question! See the board
43
Draw a conclusion if possible: At Friendly's you eat ice cream. You did not eat ice cream.
No conclusion.
Name all the points of concurrency in triangles and what they go with
Circumcenter(perp. bisectors), incenter (angle bisector), centroid(medians), orthocenter(altitudes)