Chapter 7

Question 1

Thm 10.18 Segments of chords Thm

Answer 1

ab=cd

Question 2

ab=cd

Answer 2

Thm 10.18 Segments of chords Thm

Question 3

Thm 10.19 Segments of secant thm

Answer 3

a(a+b)=c(c+d)

Question 4

a(a+b)=c(c+d)

Answer 4

Thm 10.19 Segments of secant thm

Question 5

Thm 10.20 Segments of Secants and Tangents thm

Answer 5

a^2= b(b+c)

Question 6

a^2= b(b+c)

Answer 6

Thm 10.20 Segments of Secants and Tangents thm

Question 7

Thm 10.14 Angles inside a circle thm

Answer 7

m<1=x+y/2

Question 8

m<1=x+y/2

Answer 8

Thm 10.14 Angles inside a circle thm

Question 9

Thm 10.15 Tangent & chord thm

Answer 9

m<2=1/2(x)

Question 10

m<2=1/2(x)

Answer 10

Thm 10.15 Tangent & chord thm

Question 11

Thm 10.16 Angles outside the cirlce thm

Answer 11

m<3=x-y/2

Question 12

m<3=x-y/2

Answer 12

Thm 10.16 Angles outside the cirlce thm

Question 13

Thm 10.1 Tangent line to circle thm

Answer 13

A line is only tangent to the circle if it is perpendicular to the radius

Question 14

A line is only tangent to the circle if it is perpendicular to the radius

Answer 14

Thm 10.1 Tangent line to circle thm

Question 15

Thm 10.2 External tangent congruent thm

Answer 15

Tangent segments from a common external point on a line

Question 16

Tangent segments from a common external point on a line

Answer 16

Thm 10.2 External tangent congruent thm

Question 17

Thm 10.3 congruent circles thm

Answer 17

Cirlces are congruent if the have = radii

Question 18

Cirlces are congruent if the have = radii

Answer 18

Thm 10.3 congruent circles thm

Question 19

Thm 10.4 Congruent arcs thm

Answer 19

Two minor arcs are congruent iff their central angles are congruent

Question 20

Two minor arcs are congruent iff their central angles are congruent

Answer 20

Thm 10.4 Congruent arcs thm

Question 21

Thm 10.5 Similar circles thm

Answer 21

All circles are similar

Question 22

All circles are similar

Answer 22

Thm 10.5 Similar circles thm

Question 23

Thm 10.6 Corresponding chords thm

Answer 23

two minor arcs are congruent iff their correspoing chords are congruent

Question 24

two minor arcs are congruent iff their correspoing chords are congruent

Answer 24

Thm 10.6 Corresponding chords thm

Question 25

Thm 10.7 Perpendicular diameter thm

Answer 25

If a diameter of a circle is perpendicular to a chord then the diameter bisects the chord and the arc

Question 26

If a diameter of a circle is perpendicular to a chord then the diameter bisects the chord and the arc

Answer 26

Thm 10.7 Perpendicular diameter thm

Question 27

Thm 10.8 perpendicular diameter converse thm

Answer 27

If one chord is a perpendicular bisector of another chord then the first chord is a diameter

Question 28

If one chord is a perpendicular bisector of another chord and an arc then the first chord is a diameter

Answer 28

Thm 10.8 perpendicular diameter converse thm

Question 29

Thm 10.9 Equidistant chord thm

Answer 29

2 chords are congruent iff they are equidistant from the center

Question 30

2 chords are congruent iff they are equidistant from the center

Answer 30

Thm 10.9 Equidistant chord thm

Question 31

Thm 10.10 Meassure of an inscribed angle

Answer 31

m

Question 32

m

Answer 32

Thm 10.10 Meassure of an inscribed angle

Question 33

Thm 10.11 Inscribed angles of a circle thm

Answer 33

If two inscribed angles of a circle intercept the same arc then the angles are congruent

Question 34

If two inscribed angles of a circle intercept the same arc then the angles are congruent

Answer 34

Thm 10.11 Inscribed angles of a circle thm

Question 35

Thm 10.12 Inscribed right triangle thm

Answer 35

If a right triangle is inscribed in a circle then the hypotenuse is a diameter If the hypotenuse of an inscribed triangle is in a diameter then the triangle is right

Question 36

If a right triangle is inscribed in a circle then the hypotenuse is a diameter If the hypotenuse of an inscribed triangle is in a diameter then the triangle is right

Answer 36

Thm 10.12 Inscribed right triangle thm

Question 37

Thm 10.13 Inscribed quadriladeral thm

Answer 37

A quaderladeral can he inscribed in a circle if iff its opposite angles are supp

Question 38

A quaderladeral can he inscribed in a circle if iff its opposite angles are supp

Answer 38

Thm 10.13 Inscribed quadriladeral thm