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How many squares are there in this figure? AP is six more than twice as long as PK If AK is 72 cm. long, how long is AP ? A P K The measure of 2 is twelve more than three times the measure of 1 Find m 2 2 1 KS WR SR SR is half as K long as KW KS 3x 24 W WR 8 x 2 Find the length of KW S R BM PV ; BP MV BM 3x 12 MV 2 y 8 PV 5 y 34 BP x 3 B M Find the perimeter of BMVP P V Find the measure of the angle formed by the hands of a clock at 1:20 A.M. USE CORRECT NOTATION. P U G T N GUN PUG GUN PUT PU GN PU GN GU UG GT UT GT UT GU UG GU UT GU UT UT UN UT UN UT TU GN UT GN TU UT TU GT TU GT TU Find the measure of the angle formed by the hands of a clock at 3:50 P.M. OB bisects NOD N A OA & OC trisect NOD AOB is 25 less than NOA B C Find mNOD& mBOC D O P R E O V R and E trisect PO E bisects PV PR x 4 RE y 6 EV 2 x y 6 Find OV Determine the angle made by the hands of a clock at 11:24. Given KIT is a right angle mKIW 42 mJIT 24 K W J Prove: IJ bisects WIT T I Statements Reasons A mABD 50 Given: mDBE 40 D Prove: EBA EBC E B C Statements Reasons A AC 28 DB 35 AB 53 Find AD, DC, CB D C B B BAC 3 x 15 BCA 5 y 6 x DAC 7 y 1 DCA 9 x 4 AC bisects BAD A C E CA bisects BCD Find BCD D The coordinates of point A are 5,7 and of point B are 13, 7 . C is the midpoint of AB . Determine the coordinates of C The coordinates of point A are 5,7 and of point B are 5, 17 . C is the midpoint of AB . Determine the coordinates of C The coordinates of point A are 5,7 and of point B are 13, 17 . C is the midpoint of AB . Determine the coordinates of C AC and AD trisect BAE BAD = 6 x + 12 EAB = 9 x + 18 Is BAE a right angle? A E B D C Is 2 4 ? Justify your answer. E S 1 3 x 10 P 2 6 x 8 EMO is a right angle AS bisects RAT RAT 112 R 1 3 4 2 M O A T Sketch the graph of y x 2 y What is the measure of the angle your graph makes with the y-axis? What is the measure of the angle your graph makes with the x-axis? x Sketch the graph of y x 4 y What is the measure of the angle your graph makes with the y-axis? What is the measure of the angle your graph makes with the x-axis? x Write the converse, inverse and contrapositive of the following statements: 1) If a person is pregnant , then that person is female. 2) The Yankees will be the world champions if they win all the rest of their games. B Given : BAC is a right DAE is a right A Prove: DAB EAC D (Use Paragraph form) E C B A E Given: AD bisects BAC mEAD 120 Prove: BAD EAC D C Statements Reasons Given : ACF is a right BAD 70 CAD 20 B D Prove: DCA BAC A C F Statements ³ ³ Reasons O I have written the name of one of the triangles in this diagram on a piece of paper. What is the probability that you can 1) Name the triangle? 2) Name the triangle the same way that I did? T H U G E R Select 3 points at random from the labeled points in the diagram. What is the probability that at least one will lie on PE ? P S W N What is the probability that the three points you selected can be connected to form a triangle? Determine the next time after 6 P.M. when the hands of a clock make a straight angle. The ratio of the measure of TRV to the measure of TRM is 7 to 5. Find mVRT T V R M A B C D How many segments are there connecting A,B,C and D to W,X,Y, and Z where only the labeled points can be endpoints? How many rays are there connecting A,B,C and D to W,X,Y, and Z where only the labeled points can be endpoints? W X Y Z Bizarre rULES: If a person is a math teacher, then that person enjoys being frustrated.. Any person who enjoys being frustrated is strange. DEFINITION: A FLURD is any person who is strange. Given: Mr. Benson is a Math teacher Conclusion: Proof: Statements Reasons Theorem 1: If two s are right angles, then they are Given: A is a right B is a right Prove: AB A Statements Reasons Given: A is a right B is a right Prove: AB Statements B O Given: MO=2cm. PQ=2cm. Prove: MO PQ P Q M A D B C Reasons Reasons Statements Given: RST=40 TSV=50 X is a right angle X R T Prove: XRSV S Statements Reasons V Given: QS bisects PQR Prove: TQPSQR T P Q S R Statements Reasons Given: P is the midpoint of MN MN bisects KJ Prove: KP PM M P K Statements J Reasons N m1 4 x 1 m 2 3 x 6 y m 3 7 x 5 y Find m4 2 1 3 4 Ch 1 Rev T P AD & AS trisect BAP AS bisects BAT mNAB is 12 more than mDAB mTAR 42 Find mTAS S D B R A N
