Question

NO LINKS!! Please help with this problem​

Answer 1

See below ~

Explanation:

As they are similar, find the scale factor.

• QR ~ GF
• 8 : 20
• 2 : 5

Finding EI

• ST ~ EI
• ST : EI = 2 : 5
• EI = 5 x 12 / 2
• EI = 30

Finding GH

• QP : GH = 2 : 5
• GH = 5 x 12 / 2
• GH = 30

Finding RS

• RS : FE = 2 : 5
• RS = 2 x 25 / 5
• RS = 10

Answer 2

EI = 30

GH = 30

RS = 10

Explanation:

Given: PQRST ~ HGFEI

From inspection of the diagram, the corresponding sides are:

RS ~ FE

ST ~ EI

TP ~ IH

QP ~ GH

QR ~ GF

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

QR = 8 and GF = 20

⇒ GF/QR = 20/8 = 2.5

Therefore, HGFEI is an enlargement of PQRST by a scale factor of 2.5

If ST = 12,

⇒ EI = 12 x 2.5 = 30

If QP = 12,

⇒ GH = 12 x 2.5 = 30

If EF = 25,

⇒ RS = 25 / 2.5 = 10

If IH = 15,

⇒ TP = 15 / 2.5 = 6