Geometry: Get Stronger Answer Key

Use the Properties of Angles

    1. [latex]127°[/latex]
    2. [latex]37°[/latex]
    1. [latex]151°[/latex]
    2. [latex]61°[/latex]
  1. [latex]45°[/latex]
  2. [latex]62.5°[/latex]
  3. [latex]132°[/latex]
  4. [latex]62°, 118°[/latex]
  5. [latex]62°, 28°[/latex]
  6. [latex]33°, 57°[/latex]

Use the Properties of Triangles

  1. [latex]56[/latex]°
  2. [latex]44[/latex]°
  3. [latex]73°[/latex]
  4. [latex]57[/latex]°
  5. [latex]67.5[/latex]°
  6. [latex]45[/latex]°, [latex]45[/latex]°, [latex]90[/latex]°
  7. [latex]30[/latex]°, [latex]60[/latex]°, [latex]90[/latex]°
  8. [latex]30[/latex]°, [latex]60[/latex]°, [latex]90[/latex]°

Use the Pythagorean Theorem

  1. [latex]15[/latex]
  2. [latex]26[/latex]
  3. [latex]25[/latex]
  4. [latex]8[/latex]
  5. [latex]8.1[/latex]
  6. [latex]8[/latex]
  7. [latex]12[/latex]
  8. [latex]10.2[/latex]
  9. [latex]8[/latex]
  10. [latex]5[/latex] feet
  11. [latex]14.1[/latex] feet
  12. [latex]2.9[/latex] feet
  13. [latex]6[/latex] feet

Use the Properties of Rectangles

    1. [latex]140[/latex] m
    2. [latex]1176[/latex] sq. m
    1. [latex]98[/latex] ft
    2. [latex]180[/latex] sq. ft
    1. [latex]260[/latex] ft
    2. [latex]3825[/latex] sq. ft
    1. [latex]58[/latex] ft
    2. [latex]210[/latex] sq. ft
  1. [latex]25[/latex] cm
  2. [latex]62[/latex] m
  3. [latex]24.5[/latex] in., [latex]12.5[/latex] in. 
  4. [latex]24[/latex] inches
  5. [latex]27[/latex] m 
  6. [latex]23[/latex] m  
  7. [latex]7[/latex] in., [latex]16[/latex] in.
  8. [latex]17[/latex] m, [latex]12[/latex] m
  9. [latex]13.5[/latex] m, [latex]12.8[/latex] m 
  10. [latex]25[/latex] ft., [latex]50[/latex] ft.
  11. [latex]7[/latex] m, [latex]11[/latex] m
  12. [latex]26[/latex] inches
  13. [latex]55[/latex] inches
  14. [latex]35[/latex] ft., [latex]45[/latex] ft.
  15. [latex]76[/latex] in., [latex]36[/latex] in.

Use the Properties of Triangles

  1. [latex]135[/latex] sq. in. 
  2. [latex]600[/latex] sq. in. 
  3. [latex]7[/latex] in., [latex]7[/latex] in. 
  4. [latex]17[/latex] ft., [latex]20[/latex] ft., [latex]22[/latex] ft. 
  5. [latex]60[/latex] sq. in. 
  6. [latex]25.315[/latex] sq. m 
  7. [latex]0.75[/latex] sq. ft 
  8. [latex]8[/latex] ft 
  9. [latex]23[/latex] in 
  10. [latex]11[/latex] ft 
  11. [latex]28[/latex] cm 
  12. [latex]17[/latex] ft 
  13. [latex]6[/latex] m 
  14. [latex]15[/latex] ft 
  15. [latex]24[/latex] in  
  16. [latex]27.5[/latex] in. 
  17. [latex]12[/latex] ft, [latex]13[/latex] ft, [latex]14[/latex] ft 
  18. [latex]3[/latex] ft, [latex]6[/latex] ft, [latex]8[/latex] ft 

Use Properties of Trapezoids

  1. [latex]100[/latex] sq. ft
  2. [latex]675[/latex] sq. m
  3. [latex]144[/latex] sq. ft
  4. [latex]2805[/latex] sq. m
  5. [latex]231[/latex] sq. cm
  6. [latex]28.56[/latex] sq. m
  7. [latex]13.5[/latex] sq. ft
  8. [latex]1036[/latex] sq. in.

Use Properties of Circles

    1. Circumference: [latex]18.84[/latex] m
    2. Area: [latex]28.26[/latex] sq. m
  1. [latex]48[/latex] in. 
    1. Circumference: [latex]43.96[/latex] in
    2. Area: [latex]153.86[/latex] sq. in
    1. Circumference: [latex]53.38[/latex] ft
    2. Area: [latex]226.87[/latex] sq. ft
  2. [latex]62.8[/latex] ft 
  3. [latex]37.68[/latex] in.
  4. [latex]6.91[/latex] ft
  5. [latex]52[/latex] in.
  6. [latex]5.5[/latex] m

Find the Area of Irregular Figures

  1. [latex]30[/latex] sq. units
  2. [latex]300[/latex] sq. units
  3. [latex]199.25[/latex] sq. units
  4. [latex]16[/latex] sq. units
  5. [latex]30[/latex] sq. units
  6. [latex]57.5[/latex] sq. units
  7. [latex]12[/latex] sq. units
  8. [latex]67.5[/latex] sq. units
  9. [latex]89[/latex] sq. units
  10. [latex]41.12[/latex] sq. units
  11. [latex]35.13[/latex] sq. units
  12. [latex]95.625[/latex] sq. units
  13. [latex]187,500[/latex] sq. ft 
  14. [latex]9,400[/latex] sq. ft 
    1. [latex]6.5325[/latex] sq. ft
    2. [latex]10.065[/latex] sq. ft

Find Volume and Surface Area of Rectangular Solids

    1. [latex]630[/latex] cu. cm
    2. [latex]496[/latex] sq. cm
    1. [latex]9[/latex] cu. cm
    2. [latex]27[/latex] sq. cm
    1. [latex]17.64[/latex] cu. yd
    2. [latex]41.58[/latex] sq. yd
    1. [latex]15.625[/latex] cu. in
    2. [latex]37.5[/latex] sq. in
    1. [latex]125[/latex] cu. cm
    2. [latex]150[/latex] sq. cm
    1. [latex]1124.86[/latex] cu. ft
    2. [latex]648.96[/latex] sq. ft
    1. [latex]1,024[/latex] cu. ft
    2. [latex]640[/latex] sq. ft
    1. [latex]3,350.49[/latex] cu. cm
    2. [latex]1,622.42[/latex] sq. cm
    1. [latex]262,144[/latex] cu. ft
    2. [latex]24,576[/latex] sq. ft
    1. [latex]21.95[/latex] cu. m
    2. [latex]47.04[/latex] sq. m

Find Volume and Surface Area of Spheres

    1. [latex]267.95[/latex] cu. yd
    2. [latex]200.96[/latex] sq. yd
    1. [latex]113.04[/latex] cu. cm
    2. [latex]113.04[/latex] sq. cm
    1. [latex]1,766.25[/latex] cu. ft
    2. [latex]706.5[/latex] sq. ft
    1. [latex]12.76[/latex] cu. in
    2. [latex]26.41[/latex] sq. in
    1. [latex]14,130[/latex] cu. in
    2. [latex]2,826[/latex] sq. in
    1. [latex]381.51[/latex] cu. cm
    2. [latex]254.34[/latex] sq. cm

Find Volume and Surface Area of Cylinders

    1. [latex]75.36[/latex] cu. yd
    2. [latex]100.48[/latex] sq. yd
    1. [latex]254.34[/latex] cu. ft
    2. [latex]226.08[/latex] sq. ft
    1. [latex]29.67[/latex] cu. m
    2. [latex]53.69[/latex] sq. m
    1. [latex]753.6[/latex] cu. cm
    2. [latex]477.28[/latex] sq. cm
    1. [latex]1,020.5[/latex] cu. cm
    2. [latex]565.2[/latex] sq. cm
    1. [latex]678.24[/latex] cu. in
    2. [latex]508.68[/latex] sq. in

Find Volume of Cones

  1. [latex]5.23[/latex] cu. cm
  2. [latex]37.68[/latex] cu. ft
  3. [latex]324.47[/latex] cu. cm
  4. [latex]4.6[/latex] cu. in
  5. [latex]261.67[/latex] cu. ft
  6. [latex]64,108.33[/latex] cu. ft