GEOMETRY REVIEW FOR MIDTERM

Transcription

1 Y VIW I he midterm eam for period is on /, 0:00 to :. he eam will consist of approimatel 0 multiple-choice and open-ended questions. Now is the time to start studing!!! PP eviews all previous assessments. omplete the following review problems attached to this document. he can also be found in the etra practice section in the back of the tet: ue ate hapter tra Practice Pages Januar hapter P 90 #-, -0 Januar hapter P 9 #-, 9- Januar hapter P 9 #-,, 9,,, - hapter Januar hapter hapter P 9 #- P 9 #-, -9, -0 P 9 #- o to the Prentice Hall website and do the online quizzes that correspond to our tetbook: refiafk&wcsuffi0099 o to the Prentice Hall website and check out the homework video tours that correspond to each chapter in our tetbook if ou need further eplanation: refiafe&wcsuffi0 ome for etra help with specific questions from above. tra help is available onda, uesda and hursda after school until :0.

2 tra Practice esson - ind the net two terms in each sequence..,,,,, c,.,.,.,.,., c.,.. 000, 000, 00, 0, c,.,,,, c,,,., 0., 0.0, 0.00, c.,, 9,,, c, , essons - and - Write true or false..,, are coplanar. true. and are coplanar. 9.,, are coplanar. true 0.,,, are coplanar. true * * * * * * *. false. plane plane true * * *. and are skew lines. true. and are skew lines. false. false.,, and are collinear. false false essons - and - Use the figure at the right for ercises.. If and, then j.. j is the angle bisector of j., l H 9. lgebra + and - 0. olve for. 0. lgebra If - and -, then j.. m& 0, m& j, and m& j. 0, 0. m& 0 and m&h 0. ind m&h. 0 esson - ake a diagram larger than the given one. hen do the construction.. onstruct the perpendicular bisector of... onstruct & so that m& m& + m&. ee margin.. onstruct the angle bisector of &.. onstruct so that +. esson - (a ind the distance between the points to the nearest tenth. (b ind the coordinates of the midpoint of the segments with the given endpoints. 9. Q(-, -, (, 0 9.; (, 0. (-, -, (-, - 0.; (,. J(0, -, N(, 9.; (,. Y(-,, Z(, -.9; (,. (,, (, 0.; (,. (,, (-,.; (, esson - ind the perimeter (or circumference and area of each figure.. in.. cm.. 0 cm, cm m in. cm in. cm in., 9 in. π m, 9 π m cm ( ± π in., ( ± π in. 90 hapter tra Practice

3 tra Practice essons - and - or each of the statements, write the conditional form and then the converse of the conditional. If the converse is true, combine the statements as a biconditional. -. ee margin.. he number one is the smallest positive square.. ectangles have four sides.. square with area 00 m has sides that measure 0 m.. wo numbers that add up to be less than have a product less than.. hree points on the same line are collinear. tra Practice esson - Is each statement a good definition? If not, find a countereample.. circle with center and radius r is defined b the set of points in a plane a distance r from the point. es. plane is defined b two lines.. egments with the same length are congruent. es esson - Using the statements below, appl the aw of etachment or the aw of llogism to draw a conclusion. 9. If Jorge can t raise mone, he can t bu a new car. Jorge can t raise mone. Jorge can t bu a new car. 0. If hauna is earl for her meeting, she will gain a promotion. If hauna wakes up earl, she will be earl for her meeting. hauna wakes up earl. hauna will gain a promotion.. If inda s band wins the contest, the will win $00. If inda practices, her band will win the contest. inda practices. inda s band will win $00.. If rendan learns the audition song, he will be selected for the chorus. If rendan stas after school to practice, he will learn the audition song. rendan stas after school to practice. rendan will be selected for the chorus. esson - lgebra You are given that c bc ± ac with c u 0. how that b c a b filling in the blanks.. a. c bc + ac a. iven b. c bc + ac b. 9 and 9 ult. Prop. of, istr. Prop. c. c b + a c. 9 and istributive Propert ult. Prop. of d. 9 c a b d. ubtraction Propert e. b c - a e. 9 mm. Prop. of esson - lgebra ind the value of. No; two skew lines are a countereample.... ( ( 0 ( hapter tra Practice 9

4 tra Practice esson - ind ml and then ml. tate the theorems or postulates that justif our answers.. ee margin..... esson - efer to the diagram at the right. Use the given information to determine which lines, if an, must be parallel. If an lines are parallel, use a theorem or postulate to tell wh. r n s, onv. of orr. ' Post.. &9 > & none. & > &9. & is supplementar to &. ee right.. & > & none 9. m& 0, m& 0 r n s, Vert. l hm. and 0. & > & none onv. of ame-ide Int. ' hm.. & is supplementar to &0.. &0 > & none c n d, onv. of lt. Int. l hm. esson - Use a protractor and a centimeter ruler to measure the angles and the sides of each triangle. lassif each triangle b its angles and sides c n d, onv. of ame- ide Int. ' hm. r 9 0 s c d obtuse; scalene obtuse; isosceles essons - and - lgebra ind the value of each variable z 00 9 ( ( 0 0 ( 90 ; 9 0; 0; z essons - Write an equation in point-slope form of the line that contains the given points.. ee margin.. (,, (, -. (-, -, (,. (, -, (-,. K(, 0, (-, essons - and - lgebra raph each pair of lines and state whether the are parallel, perpendicular, or neither. plain. neither; not same slope and m? m u n; same slope #; m? m #; m? m esson - Use the segments for each construction. 9. onstruct a square with side length a. 9. ee margin. 0. onstruct a quadrilateral with one pair of parallel sides each of length b.. onstruct a rectangle with sides b and a. acute; isosceles right; scalene a b 9 hapter tra Practice

5 tra Practice esson - k k. omplete each congruence statement.. & > 9 l. > 9. & > 9 l. > 9. # > 9. > 9 k. # > 9. & > 9 l k tate whether the figures are congruent. Justif each answer. 9. ee margin. 9. #; # 0. #UV; #UVW. $XYZV; $UZV. #; # essons - and - Where possible, eplain how ou would use,,, or to prove the triangles congruent. If not possible, write not possible.. ee margin.. N W. P. P. Y J U V W X Y Z 0 0 V U N tra Practice esson - plain how ou would use,,, or H with P to prove each statement. 9. ee margin.. &N > &N. > 9. > I N I essons - and - lgebra ind the value of each variable z ; 90; z ; esson - Name a pair of overlapping congruent triangles in each diagram. tate whether the triangles are congruent b,,,, or H... Q. P N W kn kp; k k; H kq kq; hapter tra Practice 9

6 tra Practice esson - lgebra ind the value of essons - and - lgebra Use the figure at the right.. ind the value of.. ind the length of.. ind the value of.. ind the length of esson - ind the center of the circle that ou can circumscribe about k. 9. (, (, 0. (-, (,. (, (0, 0. (-0, - (0, (-, - (-, - (-, - (, (, (, - (-, -0 (, Is an angle bisector, altitude, median, or perpendicular bisector?.... altitude l bisector median # bisector esson - Write (a the inverse and (b the contrapositive of each statement.. If two angles are vertical, then the are congruent.. If figures are similar, then their side lengths are proportional. 9. If a car is blue, then it has no doors. 9. ee margin. Write the first step of an indirect proof of each statement. ssume points J, 0. # is a right triangle. ssume k is. Points J, K, and are collinear. K, and are not not a right k. collinear.. ines / and m are not parallel.. $XYZV is a square. ssume lines < and m are not n. ssume ~XYZV is not a square. esson - ist the sides of each triangle in order from shortest to longest.. N. P. Q. 0 J N,, N J, P, PJ an a triangle have sides with the given lengths? plain.. in., in., in. No; ± w cm, cm, cm 0. ft, 9 ft, ft Yes; 9 ±. No; ± 9 w. Q, Q,,, 9 hapter tra Practice

7 tra Practice esson - lgebra olve each proportion esson - lgebra he polgons are similar. ind the values of the variables. Á 0.. ; Á z 0 ; ; z ; + ;. tra Practice esson - an ou prove that the triangles are similar? If so, write a similarit statement and tell whether ou would use,, or... X N W. Yes; kq Yes; kxzy Q kp b kwn. b. P Z Y H no essons - and - lgebra ind the value of each variable. If an answer is not a whole number, leave it in simplest radical form.. ee margin z z z. Á0; Á; 0 z Á0 esson - ind the ratio of the perimeters and the ratio of the areas of the blue figure to the red figure.... ft cm ft in. in. cm :; : :; 9: : ; : hapter tra Practice 9