Theorems
If the two triangles have two pairs of the same side lengths along with an angle sandwiched between the side lengths, what theorem would you use to determine if the two triangles are congruent?
Side-Angle-Side (SAS) Theorem
What is this postulate?
If there is a line and a point not on the line, then there is one line that goes through the point parallel to the given line.
Parallel Postulate
What is this formula?
V=lwh
Volume for rectangular prism formula
True or False:
If a triangle is right it will always have two acute angles.
True
There can never be another angle larger than 90 degrees if there already is one in the triangle,
If the two triangles have two congruent pairs of angles along with congruent side lengths that are sandwiched between the angles, what theorem should you use to determine their congruency?
Angle-Side-Angle (ASA) Theorem
What is this postulate?
If there is a line and a point not on the line, then there is one line that goes through the point perpendicular to the original line.
Perpendicular Postulate
What is this formula?
a2+b2=c2
Pythagorean Theorem formula
True or False:
If two complimentary angles are congruent, then the two angles making it up will always be right angles.
False
Any angle can add up to 180 degrees.
If the two triangles have three corresponding sets of congruent sides, what theorem should you use to determine the congruency of the triangles?
Side-Side-Side (SSS) Theorem
What is this postulate?
If two angles form a linear pair, then they are supplementary.
Linear Pair Postulate
What formula is this?
A=π r2
Formula for the area of a circle
True or False:
A line always has two endpoints.
False
If a line has two endpoints then it would count as a segment. An actual line continues to go on in both directions instead of stopping at an endpoint.
If the two triangles have two sets of congruent angles along with congruent sides that are not sandwiched in between the angles, what theorem should you use to determine the congruency of the triangles?
Angle-Angle-Side (AAS) Theorem
What is this postulate?
Through any three noncollinear points, there exists a plane.
Three Point Postulate
What is this formula?
m=((x1+x2)/2,(y1+y2)/2)
Midpoint formula
True or False:
There are some lines that never cross each other.
True
This is because parallel lines have the same slope and will never end up touching.
If the two triangles have hypotenuses that are congruent along with a congruent pair of legs, what theorem should you use to determine if the triangles are congruent?
Hypotenuse-Leg (HL)
What is this postulate?
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is between A and C.
Segment Addition Postulate
What is this formula?
d=√ (x2-x1)2+(y2-y1)2
Distance Formula
True or False
The sum of the interior angles can equal anything less or more than 180 degrees.
False
The sum of the interior angles must equal 180 degrees according to the triangle sum theorem.