Geometry Semester 1 Practice Exam
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1 1. Use the figure below. 3. I the diagram below, m x Which best describes the pair of agles: 4 ad 5? 3x. vertical. adjacet. liear pair. complemetary. I the diagram below, F, E, ad E are right agles. E F Which best describes the pair of agles: 1 ad 4?. vertical. adjacet. supplemetary. complemetary What is the value of x? I the figure below, Y is betwee X ad Z ad XZ 40 cm X 3a + 8 What is the value of a? 5. What is the distace betwee poits, 6, 3? ad Y a Z GO ON
2 6. What are the coordiates of the midpoit of the segmet joiig the poits 3, 4 4,?.... ad 1 3,3 1, 1 1, 1 1, 3 7. I the patter below, the sides of each regular hexago have a legth of 1 uit. What is the perimeter of the. 18 uits. uits. 6 uits. 30 uits th 5 figure? 8. I the scietific method, after oe makes a cojecture, oe tests the cojecture. What type of reasoig is used?. coclusive. deductive. iductive. scietific 9. ll doks are widgets. Which statemet ca be writte usig the rules of logic?. dok is a widget if ad oly if it is a object.. object is a dok if ad oly if it is a widget.. If a object is a widget, the it is a dok.. If a object is a dok, the it is a widget. 10. Which statemet is the iverse of: If x = 5, the x > 3?. If x 3, the x 5.. If x 3, the x 5.. If x 3, the x 5.. If x 5, the x Which is a valid couterexample of the coverse of the statemet: If Hedley lives i North Las Vegas, the he lives i Nevada?. Hedley lives i Phoeix.. Hedley lives i aliforia.. Hedley lives i Reo.. Hedley lives i the Uited States. 1. Which is the cotrapositive to the statemet: If is odd, the 1 is eve.. If. If 1 is odd, the is eve. 1 is eve, the is odd.. If is eve, the. If is eve, the 1 is odd. 1 is eve GO ON
3 13. I the figure below, lie m is a trasversal. 15. I the figure below, m ad l is a trasversal. 1 m x 117 Which best describes the pair of agles: 1 ad?. alterate exterior. alterate iterior. correspodig. vertical 14. I the figure below, m ad l is a trasversal m m What is the value of x? 64 4x 16 l What is the value of x? 16. I the figure below, mfgh l m What value of x would make lie l parallel to lie m? x 17 G l H 65 F GO ON
4 17. I the figure below, lies l ad m are parallel. 0. I the figures below, EF RSTUVW. l m Which statemet is true?. 1 ad 3 are cogruet. 6 5 F W E. 1 ad 8 are supplemetary.. ad 4 are supplemetary.. 6 ad 7 are cogruet. V R S 18. Which is a valid classificatio for a triagle? U. cute right. Isosceles scalee. Isosceles right. Obtuse equiagular 19. Use the triagle below. x Which side of RSTUVW correspods to E?. RW. SR. UT T 45 3x 3. UV What is the value of x? GO ON
5 1. Use the triagles below. 3. Give that RST XYZ, mr 61, my 108, ad mz 94, what is the value of?. 5 3 Which cogruece postulate or theorem would prove that these two triagles are cogruet?. agle-agle-side. agle-side-agle. side-agle-side. side-side-side. I the diagram below, ad Give that PQR JKL, PQ 4x 1, JK 7x 6, KL x 17, ad JL 5x 7, what is the value of x? E Which cogruece postulate or theorem would prove that these two triagles are cogruet?. side-side-side. agle-agle-agle. side-agle-side. agle-side-agle GO ON
6 5. The statemets for a proof are give below. 6. The statemets for a proof are give below. Give: Parallelogram X Y Prove: X Y X Give: F F Prove: E E Proof: Y STTEMENTS RESONS 1. Parallelogram X Y 1. Give X Y What is the reaso that the statemet i Step 4 is true?. side-agle-side. agle-side-agle. Opposite sides of a parallelogram are cogruet.. orrespodig agles of cogruet triagles are cogruet. Proof: STTEMENTS RESONS 1. F 1. Give.. Give 3. F 3. Give 4. FE E 5. orrespodig Parts of ogruet Triagles are ogruet What is the missig reaso that would complete this proof?. side-side-side. side-agle-side. agle-side-agle. agle-agle-side F GO ON
7 7. Give that EF LMN, mx15, ml 3x, ad F 4( x 17), what is LN? 9. Three tows form a triagle o the map below. Geometria I the isosceles triagle below, mh 137. F What is the measure of H F? G Which statemet does NOT represet possible distaces betwee Euclid ad Geometria?. etwee ad 7 miles apart.. etwee 7 ad 9 miles apart.. etwee 9 ad 16 miles apart.. etwee 49 ad 81 miles apart. 30. The RST is costructed with vertices 5, 4,1 T, 1. What is R, S, ad the legth of ST? Euclid 7 miles 9 miles Euler 31. I, is a right agle ad m40. Which list shows the sides i order from logest to shortest?.,,.,,.,,.,, GO ON
8 3. triagle has two sides that have legths of 7 cm ad 17 cm. Which could represet the legth of the third side of the triagle?. 4 cm. 18 cm. 10 cm. 7 cm 33. The triagle below cotais three midsegmets. 34. I, SR is a midsegmet, ad SQ. S 5 1 What is the legth of Q? R Q. 34 x z 9 y What are the values of x, y, ad z?. x = 9, y =, z = 7. x = 9, y = 11, z = 14. x = 9, y =, z = 14. x = 18, y = 11, z = The triagle below shows a poit of cocurrecy. Lies l, m, ad, are perpedicular bisectors of the triagle s sides. l What is the ame of the poit of cocurrecy i the triagle? m. cetroid. iceter. orthoceter. circumceter GO ON
9 36. How may sides does a oago have? 38. hexago is show below a Which figure is a polygo? What is the value of a? Use the figure below. 130 x What is the value of x? GO ON
10 40. Parallelogram is give below. 44. I the figure below, KLM. 11x + 9 L (x + 4) What is the value of x? K 8 cm Which statemet must be true?. 8cm. 6cm cm M What is the measure of each exterior agle of a regular hexago?. 60. m53. m Use the rhombus below Which statemet is true about a kite?. kite has 4 cogruet sides.. kite has pairs of parallel sides.. kite has perpedicular diagoals.. kite has cogruet diagoals. 43. Which statemet below is true about a isosceles trapezoid?. oth pairs of opposite sides are parallel.. oth pairs of opposite sides are cogruet.. Oe pair of opposite sides is cogruet ad the other is parallel.. Oe pair of opposite sides is both parallel ad cogruet. E What is m E? GO ON
11 46. regular polygo has iterior agles that measure 144. How may sides does this polygo have? Use the figure below x What is the value of x? th 49. What is the term of the sequece 1, 4, 9, 16, 5? Geometric figures are displayed o a computer scree i the followig order: triagle, cocave quadrilateral, covex petago, cocave hexago. Usig iductive reasoig, what predictio ca be made about the ext figure?. It will be a cocave heptago.. It will be a covex heptago.. It will be a covex polygo, but the type caot be predicted.. It will be a polygo, but o other details about it ca be predicted. 48. Give that FGH is a isosceles right triagle, what is the measure of a acute agle of the triagle?
12 Free Respose 1 4 x x 1. Give: Prove: x = Supply reasos for each step GO ON
13 Free Respose. Write the step-by-step istructios o how to costruct the agle bisector of a agle. o the costructio GO ON
14 Free Respose 3. Show that the quadrilateral QU, havig vertices Q( 1, 1), U(3,), (6, ), ad (, 5); is a square. ( blak coordiate grid is provided.) y x
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