Review for Quiz 7-1 and 7-3
Express each ratio in simplest form. 1. 12 20 = ______ 2. 3 𝑥 2 𝑦 18𝑦 = _______ 3. 9(r – 2) : 45(r - 2) = _______ 3 5 𝑥 2 6 1 : 5
Complete each statement. 4 Complete each statement. 4. In the proportion 6 𝑎 = 4 𝑏 , the extremes are _________ & _________. So the means are __________ & ___________ 6 b a 4
5. For the figure shown it is given that 𝐶𝐷 𝐶𝐴 = 𝐷𝐸 𝐴𝐵 5. For the figure shown it is given that 𝐶𝐷 𝐶𝐴 = 𝐷𝐸 𝐴𝐵 . If DE = 14, AB = 21, and AC = 27, then CD = ______. 18 𝐶𝐷 𝐶𝐴 = 𝐷𝐸 𝐴𝐵 𝐶𝐷 27 = 14 21 27 14 𝐶𝐷 27 = 2 3 21
Find the value of x. 6. 3𝑥 2 = 18 6 , x = _________ 7 Find the value of x. 6. 3𝑥 2 = 18 6 , x = _________ 7. 5𝑥 8 = 2𝑥 −1 4 , x =_________ 8. 7 9 = 𝑥 − 2 2𝑥 − 4 , x = _______ 2 –2 7(2x – 4) = 9(x – 2) 14x – 28 = 9x – 18 5x = 10 2 x = 2
9. The measure of two complementary angles are in a ratio of 3:7 9. The measure of two complementary angles are in a ratio of 3:7. Find the measure of the angles. The two angles are: _________ & ____________. 63 27 3 : 7 3x : 7x → 3(9) = 27 7(9) = 63 3x + 7x = 90 10x = 90 x = 9
10. Quadrilateral ABCD ~ quadrilateral WXYZ 10. Quadrilateral ABCD ~ quadrilateral WXYZ. The scale factor of quadrilateral ABCD to quadrilateral WXYZ is . 𝐴𝐵 𝑊𝑋 = 𝐵𝐶 𝑋𝑌 = 𝐶𝐷 𝑌𝑍 = 𝐴𝐷 𝑊𝑍 𝑚 72 = 15 𝑘 = 2 𝑝 = 15 45 15 45 = 1 3
𝑚 72 = 1 3 11. The value of m = ___________. 12. The value of k = ____________. 13. The value of p = ____________. 14. The ratio of the perimeters is . 24 3m = 72 45 15 𝑘 = 1 3 k = 45 6 2 𝑝 = 1 3 p = 6 1 3
𝑋𝑌 𝑋 ′ 𝑌′ = 𝑌𝑍 𝑌 ′ 𝑍′ = 𝑋𝑍 𝑋 ′ 𝑍′ Two similar polygons are shown. Find the values of x and y. ∆𝑋𝑌𝑍 ~ ∆𝑋′𝑌′𝑍′ 15. x = _________ 16. y = _________ 𝑋𝑌 𝑋 ′ 𝑌′ = 𝑌𝑍 𝑌 ′ 𝑍′ = 𝑋𝑍 𝑋 ′ 𝑍′ 27° 𝑦 18 = 𝑌𝑍 𝑌 ′ 𝑍′ = 20 12 27° 63° 27 30 𝑦 18 = 5 3 ∠X ≅ ∠X’ ∠Y ≅ ∠Y’ ∠Z ≅ ∠Z’
𝑀𝐴 𝑄𝑈 = 𝐴𝑇 𝑈𝐼 = 𝑇𝐻 𝐼𝑍 = 𝑀𝐻 𝑄𝑍 100 𝑦 = 48 12 = 100 𝑦 = 48 12 48 quadrilateral MATH ~ quadrilateral QUIZ 17. x = _________ 18. y = _________ 𝑀𝐴 𝑄𝑈 = 𝐴𝑇 𝑈𝐼 = 𝑇𝐻 𝐼𝑍 = 𝑀𝐻 𝑄𝑍 100 𝑦 = 48 12 = 100 𝑦 = 48 12 48 100 𝑦 = 4 1 25
19. In the diagram, DABC is similar to DEFG 19. In the diagram, DABC is similar to DEFG. Describe the transformation(s) at moves DABC onto DEFG. ___________________________________ dilation
20. MNOP is similar to EFGH. Describe the transformation(s) that move EFGH onto MNOP. _________________________________ dilation and rotation