Question

Need help with the first 4 problems

Answer 1

1) ABE is NOT SIMILAR to DBC

2) FPG is SIMILAR to FGH (AAA)

3) CAN is SIMILAR to HLV (SAS)

4) QRP is SIMILAR to XYP (SSS)

Explanation:

1) ABE is NOT SIMILAR to DBC

Since DC and AE are not parallel

2) FPG is SIMILAR to FGH (AAA)

QPF = 180 - 93

QPF = 87

PQF = 180 - 63 - 87

PQF = 30

PQF = GHF

FGH = 180 - 63 - 30

FGH = 87

FGH = QPF

GFH = PFQ

3) CAN is SIMILAR to HLV (SAS)

63 =
`x` x 42

`x` = 1.5

51 =
`x` x 34

51 = 1.5 x 34

51 = 51

Hypotenuse of CAN = 1.5 x Hypotenuse of HLV

4) QRP is SIMILAR to XYP (SSS)

10 =
`x` x 8

`x` = 1.25

(20 + 5) = 1.25 x XY

XY = 20

(24 + 6) = 1.25 x XP

XP = 24