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