Question

NO LINKS!! Please help me part 2​

Answer 1

UY = 20

WX = 15

VW = 15

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

Answer 2

UY = 20, WX = 15, VW = 15

Explanation:

Step 1: Determine the scale

XY = 10 and FG = 20

`10/20 = 0.5`

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.

`UY = GF * 0.5`

`UY = 40 * 0.5`

`UY = 20`

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.

`WX = FE * 0.5`

`WX = 30 * 0.5`

`WX = 15`

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.

`VW = ED * 0.5`

`VW = 30 * 0.5`

`VW = 15`

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