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Olegator [25]
2 years ago
13

Which similarity statement expresses the relationship between the two triangles?

Mathematics
1 answer:
BartSMP [9]2 years ago
8 0

Answer:

Option (2)

Step-by-step explanation:

From the given triangles ΔFGH and ΔJKL,

∠F ≅ ∠K

∠G ≅ ∠L

∠H ≅ ∠J

Therefore, ΔFGH ~ ΔKLJ [By the property of similarity of two triangles]

Option (2) will be the answer.

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If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure
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Answer:

DG = 26

GE = 26

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Step-by-step explanation:

The figure has been attached, to complement the question.

DE = 52

FC = 15

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Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:

DF = FC

CH = HE

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Solving (a): DG

If DG = GE, then

DE = DG + GE

DE = DG + DG

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Make DG the subject

DG = \frac{1}{2}DE

Substitute 52 for DE

DG = \frac{1}{2} * 52

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Solving (b): GE

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GE = DG

GE = 26

Solving (c): DF

DF = FC

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DF = 15

Solving (d): CH

CH = HE

CH = 14

Solving (e): CE

If CH = HE, then

CE = CH + HE

CE = 14 + 14

CE = 28

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