Theorems And Postulates Flashcards
What is AA~?
Angle-angle similarity
What is SSS~
Side-side-side similarity
What is SAS~?
Side-angle-side similarity
What are the three ways to prove similarity?
SAS~, AA~, SSS~
What is triangle mid-segment theorem?
If a segment joins the midpoints of two sides of a triangle then the segment is parallel and half as long as the base of the triangle.
What is triangle proportionality theorem?
If a line is parallel to one side of a triangle then it divides the sides into segments of proportional lengths.
What is SSS?
Side-side-side congruence postulate
What is SAS?
Side-(included) angle-side congruence postulate
What is ASA?
Angle-(included) side- angle congruence postulate
What is AAS?
Angle-angle-side congruence theorem
What is HL?
Hypotenuse-leg congruence theorem
What are the 5 ways to prove congruency?
SSS, SAS, ASA, AAS, HL
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
What is substitution property?
If A=B then A may be substituted by B in an expression (SMALL PART)
What is transitive property?
If A=B and B=C then A=C (BIG JUMP)
What is reflexive property?
A=A
What is vertical angles theorem?
If two angles are diagonal from each other, they are congruent
What is the linear pair theorem?
If two angles form a linear pair, they’re supplementary
What is congruent supplements theorem?
If two angles are supplementary to the same angle, they are congruent.
What is congruent complements theorem?
If A+B= 90 and C+B=90, A=C
What is the triangle sum theorem?
The sum of the measures of the angles of a triangle is 180 degrees
What is the exterior angle theorem?
An exterior angle is always equal to the sum of the two non-adjacent interior angles
What is the triangle inequality theorem?
A triangle can exist if the sum of the two smallest sides is greater than the largest side.
What is the perpendicular bisector theorem?
If a point lies on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.
What is the angle bisector theorem?
If a point is on an angle bisector it’s equidistant to the sides of the angle.
What is the angle addition postulate?
Only is BD is in the interior of ABC, <ABD+<CBD = <ABC
What is the common angle theorem?
A shared part of two angles will mean the remaining part is equivalent to the other.
What is the point postulate?
Through any two points, there is exactly one line. An infinite number of lines will go through a single point.
What is the line postulate?
If two lines intersect, it’ll be at exactly one point.
What is the first plane postulate?
Through any three collinear points, there is an infinite number of planes.
What is the second plane postulate?
3 non-collinear points will define a single plane.
What is the third plane postulate?
If two planes intersect, it will be at exactly one line.
Wildcard!!
Do 30 jumping jacks
Wildcard!!
Run for 10 minutes
