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7.5 Using Proportionality Relationships

7.5 Using Proportionality Relationships. Warm-up. 20 24. 8 x. 30 19 . 36 x. Lets Get Started!. How are these ’s similar? Write a similarity statement.

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7.5 Using Proportionality Relationships

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  1. 7.5 Using Proportionality Relationships • Warm-up 20 24 8 x 30 19 36 x

  2. Lets Get Started! • How are these ’s similar? • Write a similarity statement. • C. Write the proportions and solve for x.

  3. M Let’s Explore! A 16 • ABC ~ MNO • Find x • Find the similarity ratio of ABC : MNO • Complete the ratio  • Observations? 8 O B C N 3 x

  4. Let’s Explore! M P • ABCD ~ MNOP • Find x • Find the similarity ratio of ABCD : MNOP • Complete the ratio  • Observations? A D x 3 B C N O 6 9

  5. M Let’s Explore! A 12 • ABC ~ MNO • Find the similarity ratio of ABC : MNO • Complete the ratio  • Observations? 9 h =6 h = 8 O B C N 12 16

  6. Let’s Explore! M P • ABCD ~ MNOP • Find the similarity ratio of ABCD : MNOP • Complete the ratio  • Observations? A D ½ 1 ½ B C N O ¼ ¾

  7. Solve: • Two similar triangles have side length in a ratio of 3ft:4ft. The perimeter of the smallest triangle is 96. Find the perimeter of the biggest triangle. • Two rhombii have areas in the ratio of 121in2: 196in2 • what is the ratio of their perimeters? • what is the ratio of their side lengths?

  8. Solve: • If the ratio of the perimeters of two pentagons is • 5: 8 and the area of the smaller pentagon is 75cm2, • what is the area of the larger pentagon?

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