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Flashcards in Chapter 7 Deck (19):
1

Extended Ratios

comparison of 3 or more quantities

2

proportion

an equation stating that 2 ratios are equal

3

Cross Product Property

product of extremes=product of means

4

Geometric Mean

a/x=x/b

5

Arithmetic Mean

average of 2 numbers

6

2 polygons are similar if....

angles are congruent
sides are proportional

7

scale factor

ratio of lengths of corresponding sides of 2 similar polygons

8

Perimeters of similar polygons

proportional to scale factor

9

Areas of similar polygons

if scale factor is a/b, area is a^2/b^2

10

Angle Angle (AA) ~

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

11

Side Side Side ~

If three sides of a triangle are proportional to 3 sides of another, the triangles are proportional

12

Side Angle Side ~

If two sides are proportional and one angle is congruent to two sides and one angle of another triangle, the triangles are congruent

13

midsegment

a segment connecting the midpoints of 2 sides of a triangle

14

Triangle Midsegment Theorem

A midsegment of a triangle is parallel to one side of the triangle, and the length is one half of the length of that side

15

Triangle Proportionality Theorem

If a line is parallel to one side of a triangle and intersects the other two aides, then it divides the segments into segments of proportional length

16

Converse of Triangle Proportionality Theorem

If a line intersects two sides of a triangle into proportional segments, the line is parallel to the 3rd side of a triangle

17

Congruent Parts of Parallel Lines

If 3 or more parallel lines cut off congruent segments on one transversal, they cut off congruent segments at every transversal

18

Proportional Parts of Parallel Lines

If 3 or more Parallel lines intersect 2 transversals, then they cut off the transversal proportionally

19

Ratio

a quotient of two numbers, or comparison of 2 values