1. Review for Quiz 7-1 and 7-3

2. Express each ratio in simplest form.
= ______ 𝑥 2 𝑦 18𝑦 = _______
3. 9(r – 2) : 45(r - 2) = ­­­­­­­­­­­­­­­_______
3 5
𝑥 2 6
1 : 5

3. 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

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

5. 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 =_________ = 𝑥 − 2 2𝑥 − 4 , x = _______ 2 –2
7(2x – 4) = 9(x – 2)
14x – 28 = 9x – 18
5x = 10 2
x = 2

6. 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

7. 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 =
= 1 3

8. 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

9. 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′ =
27°
63° 27 30
𝑦 18 = 5 3
∠X ≅ ∠X’
∠Y ≅ ∠Y’
∠Z ≅ ∠Z’

10. 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 = = 100 𝑦 = 48
100 𝑦 = 4 1 25

11. 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

12. 20. MNOP is similar to EFGH. Describe the transformation(s) that move EFGH onto MNOP _________________________________
dilation
and rotation