Geometry FSA question types:

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Anabel Berry
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1 Gemetry FSA questin types: 1. Ht text (Drag and Drp). Given the right triangle belw, drp the crrect trignmetric functin int the bx. Answers may be used mre than nce. (G-SRT.3.7) A Sin Cs Tan 68 A = A = B 32 C C = C = 2. Equatin Editr (uses keybard similar t that shwn belw). Slve fr x and y. Using the keybard abve, enter the x value n the first line and the y value n the secnd line. (G-SRT.3.8) y x Created by ellen.reilly@palmbeachschls.rg

2 3. Multi-select. Chse all that apply. (G-C.1.3) A B 15 P D C A square is drawn inscribed in circle P s that its vertices tuch the circle. If the length f PD is 15 cm., what is true abut the quadrilateral inscribed in this circle? The perimeter f the square is cm. The area f the square is The measure f < DPC is 90 The diagnal f the square is twice the measure f the side. The measure f <PDC is 45 The area f the shaded regin is apprximately Open Respnse. Explain whether r nt LM is a tangent drawn t the circle. (G-C.1.2) 6 cm N M 8 cm 10 cm L Created by ellen.reilly@palmbeachschls.rg

3 5. Multiple Chice. Find the area f a sectr f a circle with a central angle f 60 degrees and a radius f 10 cm. Use 3.14 fr pi. (G-C.2.5) A. 5.3 cm 2 B cm 2 C cm 2 D cm 2 6. Multi-Select. Tw distinct lines intersect. Which f the fllwing is true? Chse all that apply. (G.CO.1.1) The intersectin f the tw lines is a pint. The lines are nt parallel. The lines frm angles at the intersectin. The lines are perpendicular. The lines are skew. 7. Multi-Select. Which f these transfrmatins preserve distance and angle measure? Select all that apply. (G-CO.1.2) Created by ellen.reilly@palmbeachschls.rg

4 8. Graphic Respnse Item Display (GRID where yu can actually add pints and lines). Draw the image f the figure belw after it is reflected ver the line x = 1. (G-CO.1.4) Created by ellen.reilly@palmbeachschls.rg

5 9. Graphic Respnse Item Display (GRID where yu can actually add pints and lines). Draw the image f the figure belw after it is translated ( ) ( ). (G-CO.1.5) 10. Open Respnse: Describe the rtatin that maps WXYZ t W X Y Z abut pint P. (Hint: Describe the directin and the degree f rtatin). 11. Open Respnse. Tw triangles are cngruent if and nly if nly if ne can be mapped nt the ther by ne r mre rigid mtins. Given with vertices at (-5, 1), (-4, 3), and (-1, 1) with vertices at (9, -3), (8, -1), and (5, -3), describe the rigid mtin(s) that maps ne nt the ther. (G- CO.2.7) Created by ellen.reilly@palmbeachschls.rg

12. Multi-Select. Are the triangles shwn in the graph belw cngruent? Chse all that apply. ( G- CO.2.8) Yes, the three sides f ne triangle are cngruent t three sides f the ther.

6 12. Multi-Select. Are the triangles shwn in the graph belw cngruent? Chse all that apply. ( G- CO.2.8) Yes, the three sides f ne triangle are cngruent t three sides f the ther. N, length is nt preserved. Yes, there is a rigid mtin that maps ne triangle nt the ther. Yes, the three angles f ne triangle are cngruent t the three angles f the ther. Yes, the vertices are equidistant frm the line f reflectin. N, there is nt enugh infrmatin t determine this. 13. Ht Text (Selectable). Select a pair f alternate interir angles. (G-CO.3.9) 14. Ht Text (Drag and Drp). Drp each angle measure t the crrect angle letter. (G-CO.3.10) 89 D C A B m< A= m < B = m< C = m < D = Created by ellen.reilly@palmbeachschls.rg

15. Ht text (Drag and Drp). Drp the reasns belw int their crrect place in the prf. Given: ABCD Prve: STATEMENTS 1 1 Given REASONS 2 Draw segment frm A t C 2 Tw pints determine exactly ne line.

7 15. Ht text (Drag and Drp). Drp the reasns belw int their crrect place in the prf. Given: ABCD Prve: STATEMENTS 1 1 Given REASONS 2 Draw segment frm A t C 2 Tw pints determine exactly ne line If tw parallel lines are cut by a transversal, the alternate interir angles are cngruent ASA: If tw angles and the included side f ne triangle are cngruent t the crrespnding parts f anther triangle, the triangles are cngruent. 7 7 CPCTC Reflexive Prperty A parallelgram is a quadrilateral with ppsite sides parallel 16. Multiple Chice. Which gemetric cnstructin is shwn in the diagram belw? (G-CO.4.12) A. An angle bisectr B. A perpendicular bisectr C. A circle inscribed abut a line D. A line parallel t a given line Created by ellen.reilly@palmbeachschls.rg

8 17. Open Respnse. Explain whether r nt yu believe that these tw stacks f pennies have the same vlume. (G-GMD.1.1 Cavalieri s Principle) 18. Equatin Editr. Find the vlume f a cylinder whse height is 15 meters and whse diameter is 12 meters. Leave yur answer in terms f π. 19. Multiple Chice. Which figure des nt have a triangle as ne f its crss sectins? (GMD.2.4) A. B. C. D. Created by ellen.reilly@palmbeachschls.rg

9 20. Equatin Editr. Cmplete the square t find the center and radius f the circle. Enter the center n the first line and the radius n the secnd line. (GPE.1.1) 21. Open Respnse. Shw that the vertices belw either frm a scalene, issceles r equilateral triangle. Then shw whether the triangle is a right triangle r nn-right triangle. Explain yur results. (GPE.2.4) (-5, 0), (5, 8), (4, -1) Created by ellen.reilly@palmbeachschls.rg

10 22. Equatin Editr. Line AB has an equatin f What is the slpe f the line that is perpendicular t line AB? (GPE.2.5) 23. Multiple Chice. Given a line segment with endpints A(9, 7) and B(5, -3), what is the pint that divides ne-furth the distance frm A t B? (GPE.2.6) A. (7, 2) B. (2, 5) C. (8, 4.5) D. (6, -.5) 24. Equatin Editr. Find the perimeter f the triangle whse vertices are (-1, 1), (-1, 6) and (2, 6). (GPE.2.7). Created by ellen.reilly@palmbeachschls.rg

25. Equatin Editr. Find the surface area f the shaded part f the entire wheel if the wheel has a diameter f 16 inches and each equilateral triangle within it has sides that are 1.5 inches in length.

11 25. Equatin Editr. Find the surface area f the shaded part f the entire wheel if the wheel has a diameter f 16 inches and each equilateral triangle within it has sides that are 1.5 inches in length. (MG.1.1) 26. Multiple Chice. The ppulatin density f pigs n McDnald s farm is 16 pigs per acre. There are 224 pigs n the farm. Hw many acres are there? (MG.1.2) A. 14 acres B. 208 acres C. 240 acres D acres 27. Ht text (Drag and Drp). An artist is designing a triangular sculpture fr the park lawn. The triangle has a perimeter f 455 inches. The sides are in a rati f 3:4:6. What are the lengths f the sides f the triangular sculpture? Drag them int the bx. (MG.1.3) Created by ellen.reilly@palmbeachschls.rg

12 28. Graphic Respnse Item Display (GRID where yu can actually add pints and lines). A line segment is created with vertices at P (2, -2) and Q (-4, 1). Graph this segment after a dilatin with a scale factr f 0.5 with the center f the dilatin at (0,0). (SRT.1.1) 29. Ht text (Drag and Drp). Drp the reasns belw int their crrect place in the prf. (SRT.2.4) Given: // Prve: Statements 1. // 1. Given Q R S X Y Reasns XQ = XR + RQ; YQ = YS + SQ 5. Segment Additin Pstulate Substitutin Prperty f Prprtins Created by ellen.reilly@palmbeachschls.rg

13 Crrespnding sides f similar triangles are prprtinal If lines are parallel, then crrespnding angles are cngruent AA ~ Pstulate 30. Equatin Editr. (SRT.2.5) A statue, hnring Bbby Bwden, can be fund utside the FSU Dak Campbell stadium in Tallahassee. Use the similar triangles belw t determine the unknwn height f the statue. Created by ellen.reilly@palmbeachschls.rg

Geometry Strand Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.

Geometry Strand Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. 2005 Gemetry Standards Algebra Strand Nte: The algebraic skills and cncepts within the Algebra prcess and cntent perfrmance indicatrs must me maintained and applied as students are asked t investigate,