Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Line (geometry) wikipedia , lookup
Multilateration wikipedia , lookup
Perceived visual angle wikipedia , lookup
Reuleaux triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Analytic Geometry 3rd 9 Weeks Review Name: ________________________ Date: _____________ Period: ______ 1) Find the indicated angle measures using the picture to the right. mAHB _______ mBHC _______ mDHE _______ mGHF _______ mCHE _______ mFHE _______ mFHD _______ 2) Brittany is walking home from school. She is walking down Maple towards Oak. When she reaches the end of Maple, she will continue on to Pine. What is the measure of the turn she makes from Maple on to Pine? 3) The maze below has two intersecting sets of parallel paths. A mouse makes five turns in the maze to get a piece of cheese. Follow the mouse’s path through the maze. What are the degrees at each turn? Use the diagram for questions 4 - 15. AB // CD and are cut by transversal EF. 4) m 1 = _______ 5) m 5 = _______ 6) m 2 = _______ 7) m 6 = _______ 8) m 3 = _______ 9) m 8 = _______ 10) x = ________ What type of angles are the following: 11) 1& 8 _______________________ 12) 2& 8 _______________________ 13) 2& 6 _______________________ 14) 1& 5 _______________________ 15) 3& 5 _______________________ 16) 3& 6 _______________________ 17) Given: BC DA ; CBD ADB Prove: BCD DAB Statements Reasons 1) BC DA ; CBD ADB 1) _______________________________ 2) __________________ 2) Reflexive Property 3) BCD DAB 3) _______________________________ 18) Given: 1 2 , DH bisects BDF Prove: BDH FDH Statements Reasons 1) _____________________ 1) Given 2) ____________________ 2) Definition of an Angle Bisector 3) DH DH 3) ___________________________________ 4) ____________________ 4) ___________________________________ 19) Given: A is supplementary to B ; A is supplementary to D Prove: ABCD is a parallelogram Statements Reasons 1) _____________________ 1) Given 2) _____________________ 2) If same-side int. angles are supplementary, then lines are parallel 3) _____________________ 3) If same-side int. angles are supplementary, then lines are parallel 4) _____________________ 4) Definition of a parallelogram 20) If ΔABC is an isosceles triangle, find the indicated measures. B 21) In an isosceles triangle, the vertex angle is 2 less than 5 times the measure of the base angles. Find the measure of all the angles. A ________ C ________ BC ________ A C Determine whether the following triangles are congruent. If yes, write a congruency statement and justify your answer (SSS, SAS, ASA, AAS) 22) ___________ 23) ____________ 24) _____________ F is the midpoint of DH 25) ___________ 26) ___________ SV RT ; V is the midpoint of RT 27) Translate ABCD 5 units to the left and 6 units Up, T<-5,6>, 28) Reflect figure JKLM over the line x = 1, Rx=1. 29) Rotate ∆XYZ 270° clockwise about the origin, r(270⁰,O). 30) Translate the figure right 4 and up 3 and then rotate 90°, T<4,3>◦r(90°, O). 31) Name the point of concurrency that goes with each special segment. Median - __________________ Perpendicular Bisector - _____________________ Altitude - __________________ Angle Bisector - ___________________________ 32) If the point of concurrency is located on the midpoint of the hypotenuse of a right triangle, which special segments were constructed? 33) Where could the incenter of a triangle be located? 34) Which point of concurrency is equidistance from the vertices of a triangle? 35) If point M is the centroid, find each of the indicated measures. BM 22 ; AE 57 ; DM 8 FM _________ AM _________ ME _________ CM _________ CD __________ 36) If BD is an altitude, find the value of x. 37) If BD is a median, find the value of x. PARALLELOGRAM x ________ CD _________ CM ______ BC _________ 38. A _________ B _________ C _________ HA _______ 39. MA _______ HCS ____ CAS ____ HSC ____ ACS 45 ; ASH 108 CS = 26; HM = 8; MS=2x+5 RECTANGLE XM 2x 5 ; YM 6x 15 MH ________ x ________ MA ________ 40. MHA _____ MPH _____ MTH _____ 41. XM ______ WY _______ RHOMBUS 42. ST __________ MO ________ TV __________ NO ________ mSQR ______ 43. LN ________ mVTR ______ KL ________ mSRV ______ LM _______ mRTS ______ SQUARE DF 24 TRAPEZOID EG ___________ HF ___________ x __________ 45. y _________ z __________ 44. mEHF ______ mDGE ______ mGFE ______ x ___________ 46. y ___________ AB __________ KITE mPQR _________ mPSR _________ 47. mXRQ _________ mRXS _________ mXSR _________ mSPQ 144 mQRS 68 SL _________ CA _________ 48. AL _________ LF _________ SF _________ CL 40 ; CF 29 ; AS 15