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 = 180B + 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.

127O

x

Find the value of x.

132O

92O

xy

Find the value of x.

73O

98O

xy

Find the degree measure of

53O

x

A

B

C

CB

Find the degree measure of

53O

x

A

B

C

CAB

Find the degree measure of

104O

D

A

B

C

CDB

Find the value of y.

73O

98O

xy

Find the degree measure of

26O

A

B

C

CB

Find the degree measure of

104O

D

A

B

C

CB

Find the degree measure of

26O

A

B

C

CAB

Find the degree measure of

26O

A

B

C

CB

D

Find the value of x

35O

A

B

C

x

y

Find the value of y

35O

A

B

C

x

y

Find the degree measure of

19O

A

B

C

CB

D

A

B

C

0If CB 62 , find the measure of BAC

A

B

C

0If CB 152 , find the measure of BAC

A

B

C

0If CDB 210 , find the measure of BAC

D

Find the degree measure of

75O

A

BC

CAB

Find the degree measure of

40O

A

B

C

ADB

D

Find the degree measure of

40O

A

B

C

BC

D

32O

Find the measure of

73O

98O

xyA

B

C

D

BAC

Find the value of

132O

92O

xy

A

B

C

D

DCB

Find the value of

35O

A

B

C

x

y

AB

Find the value of x.

Find the value of y.

Find the value of z.

Homework

7.4

p. 346

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