By Sara Freeman
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Additional info for Geometry
Example: is the distance around a circle. Think of it as the circle’s perimeter. 1. Circumference ius rad • diameter Circumference = π x diameter C = πd or C = 2πr (The diameter is twice the is the measure in square units of the interior of a circle. 2. 96 2 ≈ 201 cm Draw straight lines to match each radius of a circle to its correct circumference and area. 14 for π. Write the uncrossed letters in the empty circles below to answer the riddle. Circumference 57 cm 113 m 50 cm 38 in. 31 ft 25 mm 44 cm 88 m 19 in.
4. • • • • • • • • • Alt. Interior Angles AAS Congruence Reflexive Property Given ASA Congruence © Milliken Publishing Company 5. 1. 2. 3. 4. 5. • • • • • • • • • • • Def. of Rt. Triangles Given SAS Congruence HL Congruence Reflexive Property Given AWESOME! Page 17 A. 3 E. 15 G. 13 H. 8 I. 4 2 L. 12 N. 10 O. 25 P. 20 R. 4 S. 3 3 T. 13 Y. 26 PYTHAGOREAN TRIPLES Page 18 1. right 2. no triangle 3. acute 4. obtuse 5. acute 6. obtuse 7. right 8. acute 9. right 10. obtuse 11. right 12. no triangle 13.
Example: ius rad Find the surface area and volume of this sphere. • C 2 SA = 4πr 2 = 4·π·6 = 4 · 36 · π 2 Surface Area of a sphere = 4πr square units 4 πr 3 Volume of a sphere = SA = 4 π r 2 3 •6 cm cubic units V = = = 2 4 3 V= πr = 144π cm 3 πr 4 3 4 3 4 3 3 3 ·π·6 (216)π 3 = 288 π cm Draw straight lines to match each radius of a sphere to its correct surface area and volume. Write the uncrossed letters in the empty circles below to reveal the name of the mathematician who made the first scientific attempt to compute the value of π .
Geometry by Sara Freeman