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4.1 warm-up

4.1 warm-up. A photograph of a surfer on a surfboard is enlarged by a scale factor of 8 to make a poster. If the surboard in the photograph is 1.5 inches long, how long is the surfboard in the poster? f. 8 in. g. 12 in. h. 18 in. j. 96in. 8.

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4.1 warm-up

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  1. 4.1 warm-up • A photograph of a surfer on a surfboard is enlarged by a scale factor of 8 to make a poster. If the surboard in the photograph is 1.5 inches long, how long is the surfboard in the poster? • f. 8 in. g. 12 in. • h. 18 in. j. 96in 8

  2. 4.5 Isosceles and Equalateral Triangles You will construct and justify statement about isosceles and equilateral triangles .

  3. You need to remembersome things from Chapter 3. An isosceles triangle has at least two congruent sides. An equilateral triangle has all three congruent sides.

  4. Lets look at the parts of a triangle. Remember that at least two sides are congruent for an isosceles triangle. Remember that all three sides are congruent for an equilateral triangle. Vertex Angle Leg Leg Base Angle Base Angle Base

  5. Here comes some theorems B A C If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Isosceles Triangle Theorem BACBCA

  6. Here comes some theorems B A C If two angles of a triangle are congruent, then the sides opposite those angles are congruent. Converse of Isosceles Triangle Theorem BABC

  7. Here comes some theorems B A C D The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base Vertex of Isosceles Triangle Theorem DBADBC BDA900 BDC=900 DADC

  8. How about some corollaries {add ons} If a triangle is equilateral, then the triangle is equiangular.

  9. How about some corollaries {add ons} If a triangle is equiangular, then the triangle is equilateral.

  10. Now its’ your turn. V U Y T X W VX VT________

  11. Why ? V U Y T X W 2 ’s, opposite sides 

  12. Here’s another one. V U Y T X W UW UT________

  13. Why ? V U Y T X W 2 ’s, opposite sides 

  14. It’s time for a proof. K H J M Given: KHKJ, KM bisects HJ Prove: HJ X Statement Reason 1. KHKJ, KM bisects HJ 1. Given 2. Reflexive 2. KMKM 3. Def of bisect 3. HMJM 4. KMHKMJ 4. SSS 5. HJ 5. CPCTC

  15. It’s time for a proof. K H J M Given: KHKJ, KM bisects HJ Prove: HJ X Statement Reason 1. KHKJ, KM bisects HJ 1. Given 2. sides congruent, then opposite angles congruent 2. HJ

  16. Here Comes The Assignment Worksheet 4.5

  17. 16. 1300 17.1300 18.1300 19. 900 20. x=700 y=550 21. x=700 y=200 22. x=450 y=450 10. AD 11. GA 12. KJ 13. DC 14. BA 15. CB 1. x=350 y=350 2. x=800 y=900 3. t=1500 4. r=450 s=450 5.x=550 y=700 z=1250 6. a=1500 b=600 c=600 7. X=6 8. a=300 b=300 c=750 9. z=1200

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