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Geometry Practice - Similar Figures & Indirect Measurements

Practice finding unknown side lengths of similar figures using indirect measurements. Learn properties and concepts of similarity and congruence. Solve problems involving algebra and similar triangles. Homework included.

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Geometry Practice - Similar Figures & Indirect Measurements

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  1. Do Now 2/24/10 • Take out HW from last night. • Text p. 295, #6-9 all, & 12 • Copy HW in your planner. • Text p. 295, #10-15 all • Quiz sections 6.4 & 6.5 Monday • Review “Geometry NJASK7 Prep” assignment on MySkillsTutor – Quiz Friday

  2. 6) 24 inches 7) 15 mm 8) 9 cm 9) 12.5 yd 12) a. 63 in. b. 15.75 ft. or 15 ft. 9 in. HomeworkText p. 295, #6-9 all, & 12

  3. Objective • SWBAT find unknown side lengths of similar figures using indirect measurements

  4. Section 6.4 “Similar and Congruent Figures” Properties of similar figures: 1). Corresponding angles are congruent 2). Corresponding sides are proportional (equal ratios)

  5. Section 6.5 “Similarity and Measurement” Given ABCD ~ GHIJ, find HJ. 30 H G x I J Cross multiply 12 A B 16 C D

  6. Given ABC ~ XYZ, find a and z. Y z X A 24 40 25 Z 20 B C a

  7. Indirect Measurements You measure the shadow of a telephone pole to be 30 ft. The shadow of a 6ft-tree is 4 ft. How tall is the telephone pole? H h S s

  8. Indirect Measurements To estimate the height of the Transco Tower in Houston, TX, you measure its shadow to be about 55m. The shadow of a 50m flagpole is about 10m. Estimate the height of the Transco Tower. H h S s

  9. Using Algebra and Similar Triangles Given ABC ~ DEC, find BE. A D 20 15 B x E 36 C Cross multiply

  10. Using Algebra and Similar Figures • Find the length of BF given that ABCD ~ CEFG. B F C x 8 cm 18 cm E G 9 cm A D

  11. Homework NJASK7 Prep Text p. 296, #10-15 all

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