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Chapter 7

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4-5

4-5. Triangle Congruence: ASA and AAS. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Do Now 1. What are sides AC and BC called? Side AB ? 2. Which side is in between ? A and ? C ? 3. Given ? DEF and ? GHI , if ? D ? ? G and ? E ? ? H , why is ? F ? ? I ?.

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?????????????? ??????

?????????????? ??????. c. a. 1. 2. 3. 4. 6. 5. 7. 8. b. c. 1. a. 4. 3. b. 2. ????????: a || b. A. C. O. B. D. ????????: AC || BD. c. d. 1. a. 4. 3. 5. 2. b. 6. ????: 1= 2= 3 ????????: a||b, c||d. c. a. 110 0. 70 0. b. ????????: a || b. c. a.

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Proving Triangles Congruent

Proving Triangles Congruent. F. B. A. C. E. D. The Idea of a Congruence. Two geometric figures with exactly the same size and shape. How much do you need to know. . . . . . about two triangles to prove that they are congruent?.

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Proving Triangles Congruent

Proving Triangles Congruent. Free powerpoints at http://www.worldofteaching.com. F. B. A. C. E. D. The Idea of a Congruence. Two geometric figures with exactly the same size and shape. How much do you need to know. . . . . . about two triangles

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Warm Up

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Notes 4.1-4.3 Triangle Congruence

Notes 4.1-4.3 Triangle Congruence Learning Targets I can recognize congruent figures and their corresponding parts. I can prove triangles congruent using SSS and SAS. I can prove triangles congruent using ASA and AAS. Congruence.

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Notes 4.1-4.3 Triangle Congruence

Notes 4.1-4.3 Triangle Congruence Learning Targets I can recognize congruent figures and their corresponding parts. I can prove triangles congruent using SSS and SAS. I can prove triangles congruent using ASA and AAS. Congruence.

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1. Find the geometric mean between: 2 and 3 4 and 9 7 and 14 15 and 60

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Similar Figures

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Similar Figures

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?????. ????????. ASA. ?????????. ?????. 1. ?????????. 2. ???????????????? ?. ??? ? ? ? ?????????????. ???? ?????????????? ???????. ?????. C. A. B. D. E. ??? ABC ??????????? DEF ? DE =AB , ?D = ?A ? ? E = ?B. M. N. F. ?? : 1. ??? DE = AB.

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Chapter 4 Triangles

Chapter 4 Triangles. 4-3 Exploring Congruent Triangles. Triangles that are the same size and same shape are congruent triangles. Each triangle has six parts, three angles and three sides.

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??? ??

??? ??. ??????. ????????????????. ??????. ????????????????????. ????????. A. X. C. B. Z. Y. 1. ?????????????????. ??? ?? s ????. 2. ?????????????????. ??? ?? s ????. ???????????????. A. D. B. E. C. F. 1. ???????????????????????. ???. ? ? ABC ? ? EFD ?.

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????????????????????????. ????????. ??? ??. 19.3 ??. A. D. B. C. E. ???? ?? ????? ?? ? ???????? ??. ??. ?. ?. ?. ??. ?. ?? : ????????????. ???. ???. ???. ???. ???. ???. ????? D ?. A. D. B. C. D. A. C. B. ????. ????. ??. ???????. ????. 1. D. A. E. B.

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Chapter 2 Section 5

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EXAMPLE 4

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12. Prove: XY @ ZW, YZ @ XW

Y. Z. 2. 12. Prove: XY @ ZW, YZ @ XW. 1. 4. Given: XY||ZW, YZ||XW. 3. X. W. B. D. 20. Prove: AB @ DE. C. 1. 2. Given: AB||DE, C is the midpoint of BE. A. E. B. D. 21. Prove: AB || DE. C. Given: / ABC @ / DEC. A. E. B. D. 22. Prove: C is midpoint of BE. C.

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EXAMPLE 4

GIVEN. AB DE , A C DF , BC EF. D A. PROVE. Add BC and EF to the diagram. In the construction, AB , DE , AC , and DF are all determined by the same compass setting, as are BC and EF . So, you can assume the following as given statements. EXAMPLE 4.

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