Practice For use with pages

Transcription

1 Name ate ON 0. ractice For use with pages se ( to draw the described part of the circle.. raw a diameter and label it }.. raw a tangent ra and label it ###$. 3. raw a secant and label it } F. 4. raw a chord and label it } GH. se the diagram to determine if the statement is true or false. 5. he distance between the centers of the circles is equal to the length of the diameter of each circle. 6. he lines 5 0 and 5 4 represent all the common tangents of the two circles. opright Holt cougal. ll rights reserved. 7. he circles intersect at the point (6, 3). 8. uppose the two circles shown are inscribed in a rectangle. he perimeter of the rectangle is 36 units. raw two circles that have the given number of common tangents In ercises 7, } is a radius of ( and } is tangent to (. Find the value of hapter 0 esource ook 9

2 Name ate ON 0. ractice continued For use with pages he points and are points of tangenc. Find the value(s) of onstruct a tangent to circle. pace huttle uppose a space shuttle is that passes through point on the circle. orbiting about 80 miles above arth. What is the distance d from the shuttle to the horizon? he radius of arth is about 4000 miles. ound our answer to the nearest tenth. d 80 mi In ercises 3 and 4, use the following information. Golf green on a golf course is in the shape of a circle. Your golf ball is 8 feet from the edge of the green and 3 feet from a point of tangenc on the green as shown in the figure. 3. ssuming the green is flat, what is the radius of the green? 4. How far is our golf ball from the cup at the center of the green? 8 ft 3 ft opright Holt cougal. ll rights reserved. 30 hapter 0 esource ook

3 Name ate ON 0. ractice For use with pages In ( F, determine whether the given arc is a minor arc, major arc, or semicircle In the figure, } and } Q are diameters of (. Find the measure of the indicated arc. 9. m Q. m 3. m Q 5. m Q 7. m 0. m. m 4. m Q 6. m Q 8. m Q has a measure of 908 in (. Find the length of } Q F opright Holt cougal. ll rights reserved. Find the indicated arc measure.. m. m 3. m wo diameters of ( are } Q and }. Find the given arc measure if m m 5. m 6. m Q 7. m hapter 0 esource ook 3

4 Name ate ON 0. ractice continued For use with pages wo diameters of ( N are } and }. Find the given arc measure if m m 9. m 30. m 3. m ell whether the given arcs are congruent. 3. and Q 33. and F and GH 35. and 758 F G H Game hows ach game show wheel shown is divided into congruent sections. Find the measure of each arc In ercises 39 and 40, use the following information. prinkler water sprinkler covers the area shown in the figure. It moves through the covered area at a rate of about 5 o per second. 39. What is the measure of the arc covered b the sprinkler? 40. If the sprinkler starts at the far left position, how long will it take for the sprinkler to reach the far right position? 58 opright Holt cougal. ll rights reserved. 3 hapter 0 esource ook

5 Name ate ON 0.3 ractice For use with pages Find the measure of the given arc or chord.. m. m 3. } Q m 5. m Q N 6. m N lot,, and in a coordinate plane. raw the perpendicular bisectors of } and }. abel their intersection. hen draw ( that contains,, and. 7. (, ), (, ), (3, 3) 8. (, 5), (, ), (, ) opright Holt cougal. ll rights reserved. Find the value of. 9. F 3 6 G W N Y Z 4 9 W 9 X hapter 0 esource ook 33

6 Name ate ON 0.3 ractice continued For use with pages In ercises 5 6, determine whether } is a diameter of the circle roof omplete the proof. GIN: } is a diameter of ( F. } } O: ù F tatements easons. } is a diameter of (F. } }.?.?. ll right angles are congruent. 3. } > } 3.? 4. } > } 4.? 5. n ù n 5.? 6.? 6. orresponding parts of congruent triangles are congruent. 7. > 7.? 8. roof omplete the proof. GIN: } Q is a diameter of (. ù Q O: n ù n Q tatements easons. Q } is a diameter of (. ù Q.?.?. heorem 0.3 opright Holt cougal. ll rights reserved. 3. } ù } Q ù } ù } 3.? 4. n ù n Q 4.? 9. riefl eplain what other congruence postulate ou could use to prove that n ù n Q in ercise hapter 0 esource ook

7 Name ate ON 0.4 ractice For use with pages ultiple hoice In the figure shown, which statement is true?. > Q. Q >. > Q. Q > Q Find the measure of the indicated angle or arc in (.. m 3. m 4. m m 6. m 7. m Find the measure of the indicated angle or arc in (, given m and m N opright Holt cougal. ll rights reserved. 8. m 9. m 0. m N. m. m N 3. m N 4. m 5. m Find the values of the variables N (4 ) F H 458 G hapter 0 esource ook 35

8 Name ate ON 0.4 ractice continued For use with pages ultiple hoice What is the value of in the figure shown?. 7. (9 ) roof omplete the proof. GIN: ( O: n, n tatements easons. (. Given.?. ertical ngles heorem 3. > 3.? 4. n, n 4.? 4. Name two other angles that could be used in tep 3 of ercise roof omplete the proof. GIN: > O: n > n tatements easons. >.?.?. heorem ? 3. ertical ngles heorem 4. ù 4.? 5. n > n 5.? 6. onstruct the tangents to (Q that pass through a point not on the circle. abel the points on the circle the tangents pass through and. ustif wh aq and aq are right angles and wh } and } are tangent to (Q. opright Holt cougal. ll rights reserved. 36 hapter 0 esource ook

9 Name ate ON 0.5 ractice For use with pages Find the indicated arc measure.. m. m FH H 3. m 08 G 98 F Find m opright Holt cougal. ll rights reserved In ercises 3 8, find the value of hapter 0 esource ook 37

10 Name ate ON 0.5 ractice continued For use with pages (3 6)8 (0 )8 (5 ) (7 )8 (7 6)8 (5 4) In the diagram shown, m is tangent to the circle at the point. Find the measures of all the numbered angles W 3 m se the diagram shown to find the measure of the angle. 0. m F. m F 08. m F 3. m F 4. m F 5. m F In ercises 6 and 7, the circles are concentric. Find the value of ransportation plane is fling at an altitude of about 7 miles above arth. What is the measure of arc that represents the part of arth ou can see? he radius of arth is about 4000 miles mi W 4000 mi opright Holt cougal. ll rights reserved. 9. ountain limbing mountain climber is standing on top of a mountain that is about 4.75 miles above sea level. se the information from ercise 8 to find the measure of the arc that represents the part of arth the mountain climber can see. Not drawn to scale 38 hapter 0 esource ook

11 Name ate ON 0.6 ractice For use with pages Find the value of Find and Find the value of Find and. opright Holt cougal. ll rights reserved Find the value of Find Q N hapter 0 esource ook 39

12 Name ate ON 0.6 ractice continued For use with pages Find the value of Winch large industrial winch is enclosed as shown. here are 5 inches of the cable hanging free off of the winch s spool and the distance from the end of the cable to the spool is 8 inches. What is the diameter of the spool? 5 in. 8 in. 9. torm rain he diagram shows a cross-section of a large storm drain pipe with a small amount of standing water. he distance across the surface of the water is 48 inches and the water is 4.5 inches deep at its deepest point. o the nearest inch, what is the diameter of the storm drain pipe? 30. asketball he Xs show the positions of two basketball teammates relative to the circular ke on a basketball court. he plaer outside the ke passes the ball to the plaer on the ke. o the nearest tenth of a foot, how long is the pass? 4.5 in. 48 in. 5 ft 6 ft ft opright Holt cougal. ll rights reserved. 40 hapter 0 esource ook

13 Name ate ON 0.7 ractice For use with pages Write the standard equation of the circle Write the standard equation of the circle with the given center and radius. 5. enter (0, 0), radius 9 6. enter (, 3), radius 4 7. enter (3, 0), radius 5 8. enter (4, 7), radius 3 9. enter (0, 4), radius 4 0. enter (, 7), radius 6 opright Holt cougal. ll rights reserved. se the given information to write the standard equation of the circle.. he center is (0, 0), and a point on the circle is (4, 0).. he center is (0, 0), and a point on the circle is (3, 4). 3. he center is (, 4), and a point on the circle is (3, 6). 4. he center is (3, ), and a point on the circle is (3, 9). 5. he center is (43, 5), and a point on the circle is (34, 7). 6. he center is (7, 4), and a point on the circle is (3, 9). etermine the diameter of the circle with the given equation ( ) ( 5) ( ) ( 9) ( 6) ( 5) 5 8 hapter 0 esource ook 4

14 Name ate ON 0.7 ractice continued For use with pages Find the center and radius of the circle with the given equation. Graph the circle ( 4) ( ) 5 6 etermine whether the point lies on the circle described b the equation ( 3) ( 8) (0, 0) 4. (3, 8) 5. (5, ) 6. (, 5) 7. arthquakes fter an earthquake, ou are given seismograph readings from three locations, where the coordinate units are miles. t (, ), the epicenter is 5 miles awa. t (, ), the epicenter is 6 miles awa. t (6, 4), the epicenter is 4 miles awa. a. Graph three circles in one coordinate plane to represent the possible epicenter locations determined b each of the seismograph readings. b. What are the coordinates of the epicenter? c. eople could feel the earthquake up to 9 miles from its epicenter. ould a person at (4, 5) feel it? plain. 8. Olmpic Flag You are using a math software program to design a pattern for an Olmpic flag. In addition to the dimensions shown in the diagram, the distance between an two adjacent rings in the same row is 3 inches. a. se the given dimensions to write equations representing the outer circles of the five rings. se inches as units in a coordinate plane with the lower left corner of the flag at the origin. b. ach ring is 3 inches thick. plain how ou can adjust the equations of the outer circles to write equations representing the inner circles. 5 in. 8 in. 6 in. 3 in. opright Holt cougal. ll rights reserved. 4 hapter 0 esource ook