Chapter 7

Question 0

A comparison of two quantities

Answer 0

Ratio

Question 1

A/b is equal to ad=BC, b/a=d/c,a+b/b=c+d,

Answer 1

Properties of proportions

Question 2

A statement that two ratios are equal

Answer 2

Proportion

Question 3

When tree or more ratios are equal

Answer 3

Extended proportion

Question 4

If u multiply both sides of a/b = c/d by b then the product of the extreme is = to the product of the means

Answer 4

Cross product property

Question 5

A drawing in which all lengths are proportional to corresponding actual lengths

Answer 5

Scale drawing

Question 6

The ratio of any length in a scale drawing to the corresponding actually length the length may be in different units

Answer 6

Scale

Question 7

Have corresponding naked and corresponding sides proportional

Answer 7

Similar figures

Question 8

Ratio of the lengths of corresponding sides

Answer 8

The similarity ratio

Question 9

A rectangle that can be divided into a square and a rectangle that is similar to the original rectangle

Answer 9

Golden rectangle

Question 10

1.618:1

Answer 10

Golden ratio

Question 11

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

Answer 11

Angle-Angle similarity

Question 12

If one angle of one triangle is similar to an angle of a second triangle and the sides including the angle are proportional then the triangles are similar

Answer 12

Side angle side similarity

Question 13

If the corresponding sides of two triangles are proportional then the triangle are similar

Answer 13

Side side side similarity

Question 14

A way of measuring things that are difficult to measure directly

Answer 14

Indirect measurement

Question 15

The altitude to the hypotenuse of a right triangle divides the triangles into two triangles that are similar to the original triangle are to each other

Answer 15

Theorem 7-3

Question 16

The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse

Answer 16

Corollary 1 to theorem 7-3

Question 17

The altitude of the hypotenuse of the right triangle separates the hypotenuse so that the length of each leg of the triangles is the geometric mean of the length of the other adjacent hypotenuse segment and the length of the hypotenuse

Answer 17

Corollary 2 to theorem 7-3

Question 18

Two positive numbers A and B is the positive number x such that a/x = x/b

Answer 18

Geometric mean

Question 19

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

Answer 19

Side splitter theorem

Question 20

Of three parallel lines intersect two transversals then the segments intercepted on the transversals are proportional

Answer 20

Corollary to theorem 7-4

Question 21

If a ray bisects an angle of a triangle then it divides the opposite sed into two segments that are proportional to the other two sides of the triangle

Answer 21

Triangle angle bisector theorem