University:
Central Michigan University
Course:
MTH 341 | College Geometry
Academic year:

2022
Views:

134

Pages:

13
Author:

Frances Brewer

Geometry Final Exam Review - Ch.7 SIMPLIFY each ratio completely, Name: KEY Hour: 40 1. 5 3 18 2. 33 3. 35 4. 32:4 32.18 5. 30:39 10 13 Convertu Convert units to simplify each ratio. 6. 4 days 2 weeks 14 4days 27. 7 3 ft. Sinches 2 8. 6 yards 4 4 feet 442 9. 2 meter 40 CIN ५० 8 cm 201510 6 mm 80m 40 63 A basketball team won 12 games and lost 8. Reduce each ratio. 15. In the diagram, JK: KL is 7: 2 and JL 36. Find JK and KL. 36 11. wins to losses 12 3 8 Equation: 7x K2xL 12. wins to the total number of games played 12 205 13. losses to wins 3 14. losses to the total number of games played 20 2/5 16. Use the triangles to write each ratio in simplest X 4-28-8 7x+2x=36 98=36 x=4 17. Use the triangles to write each ratio in simplest form. form. १ XY RS 3 S AX 12 XB 102 XB 10 AX 5 9 21 28 ST 287 X = z 123 6 Z AX 5 BC 24 10 R 14 T AB IS XY 8 B XZ 3 24 C AY 31 AY RT 14 2 VC 62 AC 3 Solve these proportions by cross-multiplying. Use the distributive property where needed. Work must be shown! 18. 54 4x=30 x=7.5 19. 8:3-x:6 Proportion = 3x=48 X=16) 20. 2+2 9 9(x+2)=16 9x+18=16 x=-29 x+4 3x-2 21. 5 10 5(3x-2) = 10(x+4) 15x10=10x+40 X=10 Setup a PROPORTION to solve the following problems. 22. If 25 Valentine chocolate candies cost $20.00. How much will 42 Valentine chocolates cost? Proportion: 25,42 $20 X "On the test, a proportion must be shown for credit! 23. Thomas finished 50 math problems in 20 minutes. At this rate, how many math problems can he do in 30 minutes? Proportion: X=33.60 $33.60 20min 30min X=75 Answer Answer= 75 24. Shapes that are SIMILAR are the same shape, but not necessarily the same Size 25. In SIMILAR shapes, the corresponding angles are congruentand the corresponding sides are proportional. Problem 26: Proportion to find x and solve: 12/x = 8/6 x = 9 Problem 27: Proportion to find x and solve: 20x = 146 x = 7.3 Problem 28: Proportion to find x and solve: 4x = 36 x = 9 Problem 29: Proportion to find x and solve: 12/x = 8/9 x = 9 Problem 30: Proportion to find y: 12/8 = y/4 y = 6 Problem 31: Proportion to find x: 8/2 = x/4 x = 16 Proportion to find y: 8/2 = 20/y y = 5 Problem 32: Scale factor (left to right): 1/3 Find the perimeters of the rectangles: 4:7 Problem 33: Scale factor of two similar triangles is 4:7. Find the ratio of the perimeters. The ratio of the perimeters is also 4:7. Problem 34: Determine if the triangles are similar by AA, SSS, SAS, or none. Work must be shown to check proportions and/or angles. Triangle ABC is similar to triangle DEF by SAS. Problem 35: Check proportions and angles. The triangles are not proportional. Problem 36: Check proportions and angles. The triangles are similar by AA. Problem 37: Check proportions and angles. The triangles are similar by SSS. Problem 38: Check proportions and angles. The triangles are not proportional. Problem 39: Check proportions and angles. The triangles are similar by AA. Geometry Final Exam Review - Ch.9 Name: Key 4. Hour: Tell whether the solid is a polyhedron. If so, name the solid. 1. 2. 3. 6 in. 9 in. Pentagonal prism triangular prism No A sphere is not a polyhedron 4 in. 11 in. Name the polyhedron. Then count the number of faces and edges. rectangular prism Name: triangular prism 5. 6. 7. Name: triangular pyramid Faces: 4 Nome: rectangular prism Faces: ( Faces: 5 Edges: Edges: 12 Edges: 9 Use Euler's formula F+ V = E + 2 to find the number of faces, edges or vertices. 8. A prism has 4 faces and 6 edges. How many vertices does it have? 4+V=6+2 4+v=8 V=4 ( 9. A pyramid has 5 faces and 6 vertices. How many edges does it have? 5+6=E+2 11=E+2 E=9 10. A pyramid has 12 edges and 7 vertices. How many faces does it have? F+7=12+2 F+7=14 F=7

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