Similarity Flashcards
What is the SAS similarity theorem?
If an angle of one triangle is congruent to an angle of another triangle and the sides including hose angles are in proportion then they are similar
What is the AA similarity postulate?
If two angles of one triangle are congruent to two angles of another triangle then they are similar
What is the SSS similarity theorem?
If the sides of two triangles are in proportion then they are similar
What is a/b=c/d equivalent to?
ad=cb
a/c=b/d
b/a=d/c
a+b/c=c+d/d
If a/b=c/d then…
a+c/b+d = a/b
Two polygons are similar if their vertices can be paired so that…
Corresponding angles are congruent
Corresponding sides are in proportion
What must you do when referring to similar polygons?
List the corresponding vertices in the correct order
What is the scale factor?
Ratio of the lengths of two corresponding sides
What is the triangle proportionality theorem?
If a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally
If three parallel lines intersect two transversals…
Then they divide the transversals proportionally
What is the triangle bisect or theorem?
If a ray bisects an angle of a triangle then it divides the opposite sides into proportional to the other sides
What are x and y called in the proportion a/x=y/b?
Means
If a, b and x are positive numbers and a/x=x/b the x is the…
Geometric mean (between a and b)
How do you calculate the geometric mean between a and b?
X=root of ab
