Respuesta :

semsee45

Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

igoroleshko156

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

[tex]10/20 = 0.5[/tex]

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

[tex]UY = GF * 0.5[/tex]

[tex]UY = 40 * 0.5[/tex]

[tex]UY = 20[/tex]

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

[tex]WX = FE * 0.5[/tex]

[tex]WX = 30 * 0.5[/tex]

[tex]WX = 15[/tex]

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

[tex]VW = ED * 0.5[/tex]

[tex]VW = 30 * 0.5[/tex]

[tex]VW = 15[/tex]

Answer: UY = 20, WX = 15, VW = 15