Lesson 7.4. Conjectures Geo Sketchpad C-68 The measure of an inscribed angle in a circle is half the measure of the arc it intercepts.

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Presentation transcript:

Lesson 7.4

Conjectures Geo Sketchpad

C-68 The measure of an inscribed angle in a circle is half the measure of the arc it intercepts.

C-69 Inscribed angles that intercept the same arc are congruent.

C- 70 Angles incribed in a semicircle are right angles.

C-71 The opposite angles of a quadrilateral inscribed in a circle are supplementary.

A + C = 180 B + D = 180

Cyclic quadrilateral - A quadrilateral incribed in a circle.

C-72 Parallel lines intercept congruent arcs on a circle.

Find the value of x. 127 O x

Find the value of x. 132 O 92 O x y

Find the value of x. 73 O 98 O x y

Find the degree measure of 53 O x A B C

Find the degree measure of 53 O x A B C

Find the degree measure of 104 O D A B C

Find the value of y. 73 O 98 O x y

Find the degree measure of 26 O A B C

Find the degree measure of 104 O D A B C

Find the degree measure of 26 O A B C

Find the degree measure of 26 O A B C D

Find the value of x 35 O A B C x y

Find the value of y 35 O A B C x y

Find the degree measure of 19 O A B C D

A B C

A B C

A B C D

Find the degree measure of 75 O A B C

Find the degree measure of 40 O A B C D

Find the degree measure of 40 O A B C D 32 O

Find the measure of 73 O 98 O x y A B C D

Find the value of 132 O 92 O x y A B C D

Find the value of 35 O A B C x y

Find the value of x.

Find the value of y.

Find the value of z.

Homework 7.4 p. 346 #1-15