Chapter 7 Angels

Question 1

m<1=x+y/2

Answer 1

Thm 10.14 Angles inside a circle thm

Question 2

Thm 10.14 Angles inside a circle thm

Answer 2

m<1=x+y/2

Question 3

Thm 10.15 Tangent & chord thm

Answer 3

m<2=1/2(x)

Question 4

m<2=1/2(x)

Answer 4

Thm 10.15 Tangent & chord thm

Question 5

Thm 10.16 Angles outside the cirlce thm

Answer 5

m<3=x-y/2

Question 6

m<3=x-y/2

Answer 6

Thm 10.16 Angles outside the cirlce thm

Question 7

Two minor arcs are congruent iff their central angles are congruent

Answer 7

Thm 10.4 Congruent arcs thm

Question 8

Thm 10.4 Congruent arcs thm

Answer 8

Two minor arcs are congruent iff their central angles are congruent

Question 9

Thm 10.10 Meassure of an inscribed angle

Answer 9

m<ABC=1/2(m-arcAC)

Question 10

m<ABC=1/2(m-arcAC)

Answer 10

Thm 10.10 Meassure of an inscribed angle

Question 11

Thm 10.11 Inscribed angles of a circle thm

Answer 11

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

Question 12

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

Answer 12

Thm 10.11 Inscribed angles of a circle thm

Question 13

Thm 10.12 Inscribed right triangle thm

Answer 13

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 14

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 14

Thm 10.12 Inscribed right triangle thm

Question 15

Thm 10.13 Inscribed quadriladeral thm

Answer 15

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

Answer 16

Thm 10.13 Inscribed quadriladeral thm