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Geometry B – Assessment #7 Study Guide Name: _________________ Period: _____ Score: __/27 ____/6 Circles 1. Given that MN is a tangent line and MP is a secant line, find the value of x. x = 30 2. Find the measure of x. x = 26 ____/3 Parallelograms 7. Find the area of the parallelogram. 108 sq yds 8. Find the area of the parallelogram. 50 sq units 9. If the area of a parallelogram is 32cm2 and the base is 8cm, find the height. h = 4cm 3. Find y. y = 4.5 ____/4 Triangles 10. Find the area of the triangle. 225 sq in 4. Write an equation of a circle with center of (4, -6) and radius of 5. (x-4)2 + (y+6)2 = 25 11. If the area of the triangle is 72mm2, find the value of x. x = 36 5. Given the following equation of a circle, identify the center and radius: (x+3)2 + (y-5)2 = 81 Center: (-3, 5) Radius: 9 4 mm x ____/1 Ratios 6. Find the ratio of the areas of two similar ∆s if the lengths of two corresponding sides of the ∆s are 8cm and 15cm. 64/225 12. Find the area of an equilateral triangle with a side of length 16 in. 64√3 sq in 13. Find the area of an isosceles triangle with sides 20cm, 20cm and 32cm. 192 sq cm 1 Rev D Geometry B – Assessment #7 Study Guide Name: _________________ Period: _____ Score: __/27 ____/3 Trapezoids 14. Find the area of the trapezoid. 210 sq m ____/4 Circles, Sectors, Segments 21. Find the area of the circle. Leave answers in terms of π. 900π sq m 22. Find the area of the segment. 25π - 50 sq units 15. Given a trapezoid with an area of 935cm2 with bases 30cm and 55cm. Find the height. H = 22cm 16. Find the area of a trapezoid with a median of 10 and an altitude of 8. 80 sq units 23. Find the area of sector ABC. 8π sq units ____/2 Rhombus/Kites 17. A rhombus has an area of 750ft2 with one diagonal =50ft. Find the other diagonal. D = 30ft 18. Find the area of a kite that has diagonals with lengths 12cm and 9cm. 54 sq cm 24. The circle is inscribed in the square. Find the area of the shaded region below. Leave your answer in terms of π. 324 - 81π sq units 9 ____/2 Irregular Shapes 19. Find the area of this figure. 99 sq m ____/2 Regular Polygons 25. Find area of a regular hexagon with side 8. 96√3 sq u 26. Find the area of the regular polygon. 105 sq mm 20. Find the area of this figure. 108.5 sq units 2 Rev D