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Geometry Homework: Similar and Congruent Figures

Practice solving for unknown side lengths of similar figures, identifying properties, and using indirect measurements in geometry. Learn about corresponding angles and sides, similarity, and proportions. Homework includes various scenarios and algebraic applications.

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Geometry Homework: Similar and Congruent Figures

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  1. Do Now 2/4/13 • Take out HW from last night. • Text p. 291, #8-20 all • Copy HW in your planner. • Text p. 295, #6-9 all, & 12 • Quiz sections 6.4 & 6.5 Wednesday • In your journal, explain the difference between similar figures and congruent figures.Then draw and label examples of similar and congruent figures with the correct markings.

  2. 8) 9) 10/13 10) 1/1 11) 2/3 12) 3/2 13) 128° 14) 110° 15) 18 inches 16) always 17) sometimes 18) always 19) sometimes 20a) No b) yes, computer 1 c) they are the same, 16/9 HomeworkText p. 291, #8-20 all

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

  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 ~ DEF, find a and b. D A 40 20 32 F E b 35 B C a

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

  8. Indirect Measurements You measure the shadow of a telephone pole to be 24 ft. The shadow of a 5ft-tree is 4 ft. How tall is the telephone pole? H h S s

  9. 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

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

  11. Homework NJASK7 Prep Text p. 296, #6-9 all

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