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7-1 Ratios and Proportions

7-1 Ratios and Proportions. The ratios of the angles in Δ ABC is 3:5:7. Find the measure of the angles. Triangle Angle Sum=180˚. 36+60+84 = 180 true. The ratios of the angles in quadrilateral is 2:4:6:3 Find the measure of the angles. Quad. Angle Sum=360˚. 48+96+144 +72= 360 true.

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7-1 Ratios and Proportions

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  1. 7-1 Ratios and Proportions

  2. The ratios of the angles in ΔABC is 3:5:7. Find the measure of the angles. Triangle Angle Sum=180˚ 36+60+84 = 180 true

  3. The ratios of the angles in quadrilateral is 2:4:6:3 Find the measure of the angles. Quad. Angle Sum=360˚ 48+96+144 +72= 360 true

  4. The ratios of the side lengths in quadrilateral is 2:3:5:4 and the perimeter is 154 feet. Find the length of the shortest side. 22 feet

  5. The ratios of the side lengths in a triangle is and the perimeter is 31.5 feet. Find the length of the longest side. 14 feet

  6. The perimeter of a rectangle is 270 inches. The ratio of its length to width is 7:2 Find the area of the rectangle. Perimeter rule

  7. The perimeter of a rectangle is 77 inches. The ratio of its length to width is 6:5 Find the area of the rectangle. Perimeter rule

  8. 7-2 Similar Polygons

  9. Determine whether the two triangles are similar. If yes, write the similarity statement and the scale factor. <L=<R <N=<Q Therefore, YES similar by AA postulate

  10. Statement LMN~RPQ

  11. Find LM

  12. Find PQ

  13. Two similar rectangles have a scale factor 3:2 . The perimeter of small rectangle is 50 feet, find the perimeter of large rectangle. Since 3 greater than 2, so PL is in the top.

  14. Two similar pentagons have a scale factor 3:7 . The perimeter of larger pentagon is 42 feet, find the perimeter of smaller rectangle. Since 3 smaller than 7, so Ps is in the top.

  15. Polygons are similar. Find x

  16. Polygons are similar. Find y

  17. P(∆DEF)=30

  18. 7-3 Similar Triangles

  19. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. 80˚ 58˚ Yes similar by AA ∆ABC ~ ∆EDF

  20. Determine whether the two triangles are similar. If yes, write the similarity statement and the scale factor. <A=<E <B=<D Therefore, YES similar by AA postulate ∆ABC ~ ∆EDC

  21. Find length of AC

  22. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Yes similar by SSS postulate. ∆ABC ~ ∆DEC

  23. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.

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