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Geometry Practice: Similar and Congruent Figures Homework

Practice finding unknown side lengths of similar figures, understanding properties of similar figures with corresponding angles and sides, solving measurement problems using similarity concept, indirect measurements, and applying algebra with similar triangles.

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Geometry Practice: Similar and Congruent Figures Homework

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  1. Do Now 2/23/10 • 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 Monday • Review “Geometry NJASK7 Prep” assignment on MySkillsTutor – Quiz Friday • 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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