Chapters 7-8

Question 0

an equation stating tat two ratios are equal is called this

Answer 0

proportion

Question 1

a comparison of two quantities using division

Answer 1

ratio

Question 2

Ex: a/b=c/d

a and d are

Answer 2

extremes

Question 3

ex:a/b=c/d

b and c are

Answer 3

means

Question 4

ex: a/b=c/d

the product of the extremes ad and the product of the means bc

Answer 4

cross products

Question 5

polygons that have the same shape but not necessarily the same size

Answer 5

similar polygons

Question 6

the ratio of the lengths of the corresponding sides of two similar polygons is

Answer 6

scale factor

Question 7

a segment with endpoints that are the midpoints of two sides of the triangle
*every triangle has three

Answer 7

midsegment of a triangle

Question 8

an angle bisector in a triangle separates the opposite side into two segments that are proportional to the lengths of the other two sides

Answer 8

triangle angle bisector

Question 9

a transformation that enlarges or reduces the original figure proportionally

Answer 9

dilation

Question 10

a dilation is a type of ____________

Answer 10

similarity transformation

Question 11

a dilation with a scale factor greater than 1 produces this

Answer 11

enlargement

Question 12

a dilation with a scale factor between 0 and 1 produces this

Answer 12

reduction

Question 13

an object or drawing with lengths proportional to the object it represents

Answer 13

scale model or a scale drawing

Question 14

the ratio of a length on the model or drawing to the actual ength f the object being modeled or drawn

Answer 14

scale

Question 15

comes from two Greek terms, trigon, meaning triangle, and metron, meaning measure

Answer 15

trigonometry

Question 16

a ratio of the lengths of two sides of a right triangle

Answer 16

trigonometric ratio

Question 17

the ratio of he length of the leg opposite the angle to the length of the hypotenuse

Answer 17

sine

Question 18

the ratio of the length of the leg adjacent the angle to the length of the hypotenuse

Answer 18

cosine

Question 19

the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle

Answer 19

tangent

Question 20

if angle A is an acute angle and the sine of A is x, the the _________ of x is the measure of angle A

Answer 20

inverse sine

Question 21

if angle A is an acute angle and the cosine of A is x, then the ___________ of x is the measure of angle A

Answer 21

inverse cosine

Question 22

if angle A is an acute angle and the tangent of A is x, then the __________ of x is the measure of angle A

Answer 22

inverse tangent

Question 23

the angles formed by a horizontal line and an observer’s line of sight to an objet above the horizontal line

Answer 23

angle of elevation

Question 24

the angle formed by a horizontal line and an observer's line of sight to an object below the horizontal line

Answer 24

angle of depression

Question 25

can be used to find side lengths and angle measures for any triangle

Answer 25

Law of Sines

Question 26

used to solve a triangle if you know the measures of two sides and the included angle (SAS)

Answer 26

Law of Cosines

Question 27

describes both the magnitude and direction of the quantity

Answer 27

vector

Question 28

the length of the vector fro its initial point to its terminal point

Answer 28

magnitude

Question 29

can be expressed as the angle that it forms with the horizontal or as a measurement between 0 degrees and 90 degrees east or west of the north-south

Answer 29

direction

Question 30

sum of two or more vectors is a single vector called this

Answer 30

resultant

Question 31

a vector is in this position if its initial point is at the origin

Answer 31

standard position

Question 32

used to describe a vector with any initial point, you can use this form or x, y (with brackets)

Answer 32

component form