Question

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QRSTU ~ FGCDE. Find FG, CD, and EF. ​

Answer 1

See below ~

Step-by-step explanation:

Given :

QRSTU ~ FGCDE

Finding the scale factor :

• Take two corresponding sides in proportion
• RS : GC
• 40 : 12
• 10 : 3

Applying the scale factor to find the missing sides :

- FG :

• QR : FG = 10 : 3
• 30/FG = 10/3
• FG = 30/10 x 3
• FG = 3 x 3
• FG = 9

- CD :

• ST : CD = 10 : 3
• 40/CD = 10/3
• CD = 40/10 x 3
• CD = 4 x 3
• CD = 12

- EF :

• UQ : EF = 10 : 3
• 30/EF = 10/3
• EF = 30/10 x 3
• EF = 3 x 3
• EF = 9

Answer 2

FG = 9

CD = 12

EF = 9

Step-by-step explanation:

Given:

• QRSTU ≅ FGCDE

Proportional Sides:

• GC = 12, RS = 40

Find Scale Factor:

• 12/40 = 0.3

Find Missing Sides:

1) FG = QR × 0.3 = 30 × 0.3 = 9

2) CD = ST × 0.3 = 40 × 0.3 = 12

3) EF = UQ × 0.3 = 30 × 0.3 = 9