How Many Squares Are There in This Figure

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 W long as KW KS  3x  24 WR  8x  2 Find the length of KW

S R BM  PV; BP  MV B M BM  3x 12 MV  2y  8 PV  5y  34 BP  x  3 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.

GUN  PUG  PU  GN  GUN  PUT    PU GN    GUUG  GT UT    GT UT  GUUG   GU UT  GN  UT  GU UT   GN  TU    UT UN    UT  TU    UT UN   GT  TU    UT  TU   GT  TU  Find the measure of the angle formed by the hands of a clock at 3:50 P.M.  bisects NOD B OB N A   trisect NOD OA&OC C AOB is 25 less than NOA

Find mNOD&mBOC

D O P R and E trisect PO E bisects R E PV PR  x  4 O V RE  y  6 EV  2x  y  6 Find OV Determine the angle made by the hands of a clock at 11:24. Given KIT is a right angle mKIW  42 K mJIT  24 W

 J Prove: IJ bisects WIT T

I Statements  Reasons                            A mABD  50 Given: D mDBE  40

Prove: EBA  EBC E B

Statements  Reasons                         A C B D

AC  28 DB  35 AB  53 Find AD, DC,CB B BAC 3 x  15 BCA 5 y  6 x DAC 7 y  1 DCA 9 x  4

 AC bisects  BAD A C  CA bisects  BCD E 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 A BAD = 6x +12 EAB = 9x +18 Is BAE a right angle? E

B D C Is 2  4 ? Justify your answer. E S 1  3x  10 P 2  6x  8 R 3 T EMO is a right angle 1 4  2 AS bisects  RAT M O A RAT 112  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 : ÐBAC is a right Ð ÐDAE is a right Ð

E Prove: DAB  EAC

C (Use Paragraph form)   B A E Given:      

 AD bisects BAC mEAD  120 Prove: BAD  EAC

Statements  Reasons                    ³

Given : ACF is a right Ð B BAD  70 CAD  20 D

Prove: DCA  BAC

Statements  Reasons              

³ O I have written the name of one of T the triangles in this diagram on a piece of paper. What is the H probability that you can 1) Name the triangle? 2) Name the triangle the same way that I did? U G R E Select 3 points at random from the labeled points in the P diagram. What is the probability that at S least one will lie on PE ? W

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 mVRT T

M R V How many segments are there connecting A B C D 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  PQ=2cm. Prove: MO  PQ Given: A is a right  A B B is a right  Prove: AB

Statements  Reasons   Statements   Reasons                Given: RST=40 X  TSV=50 R T  X is a right angle Given: A is a right  A D B is a right  Prove: XRSV Prove: AB B C S V

Statements  Reasons Statements  Reasons                    Given: MO=2cm. O P

M Q  Given: QS bisects PQR T Prove: TQPSQR P

Statements  Reasons                    M J Given: P is the midpoint of MN MN bisects KJ Prove: KP  PM P

Statements  Reasons                             m1  4x 1 m2  3x  6y m3  7x  5y 2 Find m4

4 Ch 1 Rev   AD & AS trisect  BAP  AS bisects  BAT T P S mNAB is 12° more than D mDAB B mTAR  42 FindmTAS