geometry: chapter 7

Question 0

Proportion

Answer 0

An equation stating that two ratios are equal

Question 1

Ratio

Answer 1

The quotient when the first number is divided by the second

Question 2

a/b=c/d

Answer 2

ad=bc
a/c=b/d
b/a=d/c

Question 3

two polygons are similar if

Answer 3

their vertices can be paired in such a way that
corresponding angles are congruent
corresponding sides are in proportion

Question 4

scale factor

Answer 4

he ratio of the lengths of two corresponding sides

Question 5

golden ratio

Answer 5

l/w=l+w/l

Question 6

AA similarity postulate

Answer 6

if two angles of one triangle are congruent to two triangles of another triangle, then the two triangles are similar

Question 7

SAS similarity theorem

Answer 7

if an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion then the triangles are similar

Question 8

SSS similarity theorem

Answer 8

if the sides of two triangles are in proportion then the triangles are similar

Question 9

triangle proportionality theorem

Answer 9

if a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally

Question 10

corollary to triangle proportionality theorem

Answer 10

if three parallel lines intersect two transversals then they divide the transversals proportionally

Question 11

triangle angle-bisector theorem

Answer 11

if a ray bisects an angle of a triangle then it divides the opposite side into segments proportional to the other two sides