Inscribed Angles - Quiz Quiz Answers

Statements Reasons 1. circle cap o has diameter LN― and inscribed angle LMN 1. given 2. overarc LKN is a semicircle 2. diameter circle divides into 2 semicircles 3. circle cap o measures 360 degrees 3. measure of a circle is 360 degrees 4. m overarc LKN is equal to 180 degrees 4. definition of semicircle 5. m angle LMN is equal to 90 degrees 5. ? 6. angle LMN is a right angle 6. definition of right angle What is the missing reason in step 5?

What is the measure of angle CAB in circle cap o ?

Statements Reasons 1. circle cap m with inscribed angle KJL and congruent radii JM― and ML― 1. given 2. triangle JML is isosceles 2. isos. triangle s have two congruent sides 3. m angle MJL is equal to m angle MLJ 3. base angle s of isos. triangle are is congruent to and have is equal to measures 4. m angle MJL is equal to m angle MLJ is equal to 2 times open paren m angle MJL close paren 4. substitution property 5. m angle KML is equal to m angle MJL plus m angle MLJ 5. measure of ext. angle equals sum of measures of remote int. angle s of a triangle 6. m angle KML is equal to 2 times open paren m angle MJL close paren 6. substitution property 7. m overarc KL is equal to m angle KML 7. central angle of triangle and intercepted arc have same measure 8. m overarc KL is equal to 2 times open paren m angle MJL close paren 8. ? 9. 1 half times open paren m overarc KL close paren is equal to m angle MJL 9. multiplication property of equality What is the missing reason in step 8?

What is the measure of angle CAB in circle cap o ?

If the measure of overarc UV is 84 degrees , what is the measure of angle YUV ?

What is the measure of arc BC ?

What is the measure of arc BC ?

What is the value of x ?

What is the measure of arc BC ?

What is the measure of angle BDC ?

If the measure of overarc UV is 84 degrees , what is the measure of angle YUV ?

What is the measure of arc BC ?

What is the measure of angle CAB in circle cap o ?

What is the value of x ?

If the measure of angle CAE is 95 degrees , what is the measure of overarc CBA ?

If the measure of overarc UV is 84 degrees , what is the measure of angle YUV ?

If the measure of angle CAE is 95 degrees , what is the measure of overarc CBA ?

If the measure of angle QNT is 74 degrees , what is the measure of overarc QPN ?

What is the measure of angle BDC ?

What is the measure of angle BDC ?

What is the measure of overarc EAB in circle cap f ?

Statements Reasons 1. circle cap m with inscribed angle KJL and congruent radii JM― and ML― 1. given 2. triangle JML is isosceles 2. isos. triangle s have two congruent sides 3. m angle MJL is equal to m angle MLJ 3. base angle s of isos. triangle are is congruent to and have is equal to measures 4. m angle MJL is equal to m angle MLJ is equal to 2 times open paren m angle MJL close paren 4. substitution property 5. m angle KML is equal to m angle MJL plus m angle MLJ 5. measure of ext. angle equals sum of measures of remote int. angle s of a triangle 6. m angle KML is equal to 2 times open paren m angle MJL close paren 6. substitution property 7. m overarc KL is equal to m angle KML 7. central angle of triangle and intercepted arc have same measure 8. m overarc KL is equal to 2 times open paren m angle MJL close paren 8. ? 9. 1 half times open paren m overarc KL close paren is equal to m angle MJL 9. multiplication property of equality What is the missing reason in step 8?

What is the measure of angle CAB in circle cap o ?

Statements Reasons 1. circle cap m with inscribed angle KJL and congruent radii JM― and ML― 1. given 2. triangle JML is isosceles 2. isos. triangle s have two congruent sides 3. m angle MJL is equal to m angle MLJ 3. base angle s of isos. triangle are is congruent to and have is equal to measures 4. m angle MJL is equal to m angle MLJ is equal to 2 times open paren m angle MJL close paren 4. substitution property 5. m angle KML is equal to m angle MJL plus m angle MLJ 5. measure of ext. angle equals sum of measures of remote int. angle s of a triangle 6. m angle KML is equal to 2 times open paren m angle MJL close paren 6. substitution property 7. m overarc KL is equal to m angle KML 7. central angle of triangle and intercepted arc have same measure 8. m overarc KL is equal to 2 times open paren m angle MJL close paren 8. ? 9. 1 half times open paren m overarc KL close paren is equal to m angle MJL 9. multiplication property of equality What is the missing reason in step 8?

What is the value of x ?

What is the measure of overarc EAB in circle cap f ?

What is the value of x ?

Statements Reasons 1. circle cap o has diameter LN― and inscribed angle LMN 1. given 2. overarc LKN is a semicircle 2. diameter circle divides into 2 semicircles 3. circle cap o measures 360 degrees 3. measure of a circle is 360 degrees 4. m overarc LKN is equal to 180 degrees 4. definition of semicircle 5. m angle LMN is equal to 90 degrees 5. ? 6. angle LMN is a right angle 6. definition of right angle What is the missing reason in step 5?

What is the measure of angle BDC ?

Statements Reasons 1. circle cap o has diameter LN― and inscribed angle LMN 1. given 2. overarc LKN is a semicircle 2. diameter circle divides into 2 semicircles 3. circle cap o measures 360 degrees 3. measure of a circle is 360 degrees 4. m overarc LKN is equal to 180 degrees 4. definition of semicircle 5. m angle LMN is equal to 90 degrees 5. ? 6. angle LMN is a right angle 6. definition of right angle What is the missing reason in step 5?

Statements Reasons 1. circle cap o has diameter LN― and inscribed angle LMN 1. given 2. overarc LKN is a semicircle 2. diameter circle divides into 2 semicircles 3. circle cap o measures 360 degrees 3. measure of a circle is 360 degrees 4. m overarc LKN is equal to 180 degrees 4. definition of semicircle 5. m angle LMN is equal to 90 degrees 5. ? 6. angle LMN is a right angle 6. definition of right angle What is the missing reason in step 5?

What is the measure of overarc EAB in circle cap f ?

Statements Reasons 1. circle cap m with inscribed angle KJL and congruent radii JM― and ML― 1. given 2. triangle JML is isosceles 2. isos. triangle s have two congruent sides 3. m angle MJL is equal to m angle MLJ 3. base angle s of isos. triangle are is congruent to and have is equal to measures 4. m angle MJL is equal to m angle MLJ is equal to 2 times open paren m angle MJL close paren 4. substitution property 5. m angle KML is equal to m angle MJL plus m angle MLJ 5. measure of ext. angle equals sum of measures of remote int. angle s of a triangle 6. m angle KML is equal to 2 times open paren m angle MJL close paren 6. substitution property 7. m overarc KL is equal to m angle KML 7. central angle of triangle and intercepted arc have same measure 8. m overarc KL is equal to 2 times open paren m angle MJL close paren 8. ? 9. 1 half times open paren m overarc KL close paren is equal to m angle MJL 9. multiplication property of equality What is the missing reason in step 8?

If the measure of overarc UV is 84 degrees , what is the measure of angle YUV ?

What is the measure of overarc EAB in circle cap f ?

If the measure of angle CAE is 95 degrees , what is the measure of overarc CBA ?

If the measure of angle QNT is 74 degrees , what is the measure of overarc QPN ?

If the measure of angle CAE is 95 degrees , what is the measure of overarc CBA ?

If the measure of angle QNT is 74 degrees , what is the measure of overarc QPN ?

If the measure of angle QNT is 74 degrees , what is the measure of overarc QPN ?